Consider the 3-digit number which are written by using only the digits 1,2,3,4,5. How many of these have two equal digits and one different digit?
Answers
5 3-digit numbers that have three equal digits.
we need to apply the principle of inclusion-exclusion to account for the fact that some 3-digit numbers may be counted multiple times.
any 3-digit number that has three equal digits will be counted twice once as a 3-digit number with two equal digits and one different digit, and once as a 3-digit number with three equal digits.
There are 5 choices for the digit that is repeated, and 1 way to arrange the digits, so there are 5 3-digit numbers that have three equal digits.
Therefore, we need to subtract 5 from the total number of 3-digit numbers that have two equal digits and one different digit.
60 number are 3-digit numbers that have two equal digits and one different digit.
What is permutation and combination?Permutation and combination are ways to arrange values in a set. In permutation the order of arrangement matters, but in combination the order of arrangement does not matter.
The given digits are,
1, 2, 3, 4, 5.
Since, to find the 3 digits numbers which are written by using given digits, and have two equal digits and one different digit,
Here order of arrangement matters.
Use permutation formula,
From 5 digits, 3 are chosen,
Ways of arrangement = ⁵P₃
= 5! / (5-3)!
= 5! / 2!
= 5 x 4 x 3 x 2! / 2!
= 60
There are total 60 different ways, in which numbers can be arranged.
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Related Questions
word problems....my worst enemy...
Answers
Answer:
15 cup
Step-by-step explanation
So i was thinking because each student gets 5 ounces and and there is 24 students. Which means first you have to:
24x5= 120
You know that there are 120 ounces in total but you have to find how many cups the teacher has. So 120 ounces equals 15 cups im pretty sure.
Answer: 15 cups
Step-by-step explanation: ok this question sounds like it's going to be weird and complicated but it's not this question gave you information you do not need to trip you up ignore that the cornstarch and water don't matter what the question wants is cups of slime 5oz per student 24 students 5X24=120oz 120oz=15 cups
hope this helps
Ashley buys a hamster wheel during the sale(25% off)
. If Ashley pays $6, what was the original price?
Answers
Answer:
$8
Was the original price.
Step-by-step explanation:
100% - 25% = 75%
$6 ⇒ 75%
$A ⇒ 100%
A = $6* 100% / 75%
A = 8
Can someone help?- I will mark brainliest !!
Answers
Working together, Huong and Imani can harvest a field in 5.09 hours.. Had she done it alone, it would have taken imani 14 hours. How long would it take Huong to do it alone
Answers
Answer:
9 hours i think
Use the table to write a linear function that relates y to x.
Answers
Answer:
The answer to the question provided is y = -2x - 7
A real estate agent earns a monthly salary of $800. This month he sold one home for $350,000 and one home for $425,000. He is paid a commission rate of 5% for each home. What were his total earnings for the month?
Answers
Step-by-step explanation:
Given: Monthly salary = $800,
Sold two houses of rate $ 350000 and $425000
gains 5% for each house
5% of $350000 = $17,500
5% of $425000 = $21,250
Total earning = $800 + $17,500 + $21,250
= $39,550
Order the numbers from closest to zero to farthest from zero:
4.38, l4.5l, l-4.6l, -l4.9l
HELPPPPP
Answers
The smallest number is the one closest to zero, or after zero, if it's a negative number, while the largest number is the number with the largest difference from the smallest, or the highest of value (not considering all situations). Usually, you would use the ascending order method for graphing numbers based on their value, which is indeed smallest to largest. According to thefreedictionary.com, "A function or variable continuously approaching zero as a limit." Tip: In ordering numbers based on value, the whole numbers that aren't negative are considerably believed to be the easiest numbers to order.
With that being said, here is the order of the numbers from smallest to largest:
4.38
4.5
4.6
4.9
Answer:
Here are the numbers ordered from closest to zero to farthest from zero:
4.38 (closest to zero)
4.5
-4.6
-4.9 (farthest from zero)
Step-by-step explanation:
PLS HELP I NEED HELP REAL BAD
PLS PUT LEGIT ANSWERS NO ANSWERS THAT SAY HI OR SOMETHING ELSE
Answers
Answer:
b. 30 should be it
Step-by-step explanation:
please give brainliest
Answer:
45 (tip: find out the pattern of the graph like 90 + 25 is 105 so if you could have subtract 60 by 25, you would get 45.)
21 = m + 14 1/6 . what the value of m?
Answers
21 = m + 2.3333
Subtract 2.3333 on both sides.
m = 18.67
The equation of a plane which passes through (2,−3,1) and is normal to the line joining the points (3,4,−1) and (2,−1,5) is given by?
Answers
Answer: We can find the equation of a plane in point-normal form, which is given by:
Ax + By + Cz + D = 0
where (A, B, C) is the normal vector to the plane and (x, y, z) are the coordinates of any point on the plane, and D is a constant.
To find the normal vector, we can use the cross product of two vectors that lie on the plane. A convenient choice for these vectors is the direction vector of the line, which is given by:
v = <2-3, -1-4, 5-(-1)> = < -1, -5, 6 >
The normal vector to the plane is given by the cross product of the direction vector of the line and the vector pointing from any point on the line to the point (2,-3,1). Let's call this vector v2 = <2-3, -3-4, 1-(-1)> = < -1, -7, 2>
So the normal vector is given by:
n = v x v2 = ( -52 + 6-7)i + (6*-1 - -12)j + (-1-7 - -5*2)k = (14)i + (-7)j + (-11)k
Given that the point (2,-3,1) lies on the plane, we can substitute these values in the point-normal form equation:
A2 + B-3 + C*1 + D = 0
-142 + -7-3 + -11*1 + D = 0
-28 - 21 - 11 + D = 0
D = 58
So the equation of the plane is :
14x - 7y - 11z + 58 = 0
This is the equation that represents the plane that passes through (2,−3,1) and is normal to the line joining the points (3,4,−1) and (2,−1,5)
Step-by-step explanation:
At a popular retail store, they have 24 ounce cans of salsa that costs $2.40. They also have 16 ounce cans of salsa that cost $1.44. Is the 24 ounce or 16 ounce can a better deal?
Answers
Answer:
24 ounce can is the better deal
Step-by-step explanation:
24 ounces has a rate of $ .10 per ounce while 16 has a rate of $ .11 per ounce
Answer:
24 ounce
Step-by-step explanation:
Which expressions are equivalent to (5g+3h+4)\cdot2(5g+3h+4)⋅2left parenthesis, 5, g, plus, 3, h, plus, 4, right parenthesis, dot, 2 ?
Choose all answers that apply:
Choose all answers that apply
A
(5g+3h)\cdot8(5g+3h)⋅8left parenthesis, 5, g, plus, 3, h, right parenthesis, dot, 8
(Choice B)
B
(5g+3h)\cdot6(5g+3h)⋅6left parenthesis, 5, g, plus, 3, h, right parenthesis, dot, 6
(Choice C)
C
None of the above
Answers
Answer:
C None of the above
Step-by-step explanation:
The expression
(5g+3h+4)⋅2
can be expanded using distributive property as follows:
5g⋅2 + 3h⋅2 + 4⋅2 =
= 10g + 6h + 8
option A expression
(5g+3h)⋅8
can be expanded using distributive property as follows:
5g⋅8+3h⋅8 =
= 40g + 24h
which is different from 10g + 6h + 8
Option B expression
(5g+3h)⋅6
can be expanded using distributive property as follows:
5g⋅6+3h⋅6 =
= 30g + 18h
which is different from 10g + 6h + 8
Answer:
C. None of the above
Before you multiply or divide a fraction by a mixed number, you have to make sure they are both in the same___________?
Answers
Answer:
Step-by-step explanation:
form. Meaning you need make both fractions improper
A small business takes out a $700 loan from the bank. If the small business repays the bank $750 at the end of one year, what percent interest is the small business paying? Explain and show your calculations. Round to the nearest tenth, if needed
Answers
750 - 700 = 50
50/700 x 1 x 100 = 7.142857142857143
Then we round 7.14 to the nearest tenth, which would be 7.1%
750 - 700 = 50
50/700 x 1 × 100 = 7.142857142857143
Then you would round 7.14 to the nearest tenth, which would come out to be 7.1%
You have a pizza with diameter 12
2
3 in., and a square box that is 12.65 in. across. Write 12
2
3 as a decimal. Can you fit the pizza inside the box?
What is the decimal expansion for 12
2
3?
A.12.6
B.12.65
C.12.6
D.12.66
pls help me
Answers
Answer:
D is the right choice and no you cannot fit the pizza inside the box.
Step-by-step explanation:
D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.
Answer:
I believe the answer is D.
Step-by-step explanation:
Select all that apply. Which input-output combinations being in this table? Pls hurry whoever answers firs will be mark the brainlest!!
Answers
Answer:
3-9 8-24 10-30
Step-by-step explanation:
It is multiplying by 3
Answer:
if the input is 3, then the out put would be 9 and if the input is 8, then the output would be 24
Step-by-step explanation:
you multiply 3 by each number to get your output.
A runner is participating in a Boston marathon. He has run 12 miles out of a 26.2-mile section. What percent of the course has he run so far?
Answers
Answer:
146pecent point 2
Step-by-step explanation:
just dibpvide
Can someobody help me solve this question? brainly + ASAPP!!!!!!!
Answers
Answer:
Step-by-step explanation:
All the sides:
178+100+200+220+160+320+178+360
=1716 cm
The requried surface area of the given prism is 1716 square centimeters.
What is the surface area?The surface area is the total area that covers the surface of a three-dimensional object. It is calculated by adding up the area of all the faces or surfaces of the object. For example, the surface area of a cube can be calculated by adding up the areas of all six faces.
Here,
The surface area of the given prism is given as:
Surface area = 5*20 + 10*20 +20*8 + 11*20+2[5*10+16*8]+16*20+20*18
Surface area = 1716 square centimeters
Thus, the requried surface area of the given prism is 1716 square centimeters.
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If you take a certain number and write a 9 to the right of it and add the doubled certain number to the result, the sum will be equal to 633. Find the certain number.
Answers
Hello,
let's say x is a certain number
10*x+9+2x=633
12x=624
x=52
Proof:
529+104=633
there are 12 broken lightbulbs in a box of 200. what percent of the lightbulbs are broken
Answers
Answer:
6%
Step-by-step explanation:
Answer:
6%
Step-by-step explanation:
Because if you do 200/2 you get 100% which is the normal percentage and then you do 12/2 which equals 6, so the percent of lightbulbs that are broken is 6%.
This is the graph of f(x) = x+A/x+B. The grid lines in the graph are one unit apart. What is the value of A/B
Answers
The value of A/B is given as follows:
A/B = -2.
What are the asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.From the graph, the function has a vertical asymptote at x = 1, hence the value of B is given as follows:
B = -1 -> as x + B = 0 -> x = -B = -1.
When x = 0, y = -2, hence the value of A is obtained as follows:
A/-1 = -2
A = 2.
Then the division is given as follows:
A/B = 2/-1 = -2.
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Please help this is due in 1 hr.
Mr.Brown got a Salary of $5,600 plus 2.5% awards salary last month. How much did he receive in total last month?
$_.00
Answers
Mr.Brown received $5,602.5 last month
Step-by-step explanation:
Mr.Brown already has $5,600 and has 2.5. 2.5 as a fraction is 2 1/2, but it is easier having it as a decimal, so since it’s already a decimal all you need to do it add 5,600 and 2.5(5,600 + 2.5).
can someone do this?
Answers
Answer:
A. $3.56
Step-by-step explanation:
20 points to whoever gets these right!! <3
Answers
Answer:
1st one 8/20
Step-by-step explanation:
please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!
Answers
The function for the points are y = -15x - 5
How to determine the functionFrom the information given, we have that;
The points are;
(1/3,0) (-2 3/4,0) and (0,-5)
Using the point-slope form of a linear equation, we have;
y - y₁ = m(x - x₁)
Such that;
m is the slope of the liney - y₁ and (x - x₁) are the pointsUsing (1/3, 0) and (0, -5), we have that the slope is;
m = (0 - (-5))/0 -1/3)
expand the bracket
= 5 / (-1/3)
= -15
Now, take any of the given points and substitute the values
Using (1/3, 0), we get;
y - 0 = -15(x - 1/3).
y = -15x - 5.
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The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)
We have given the points:
(1/3,0) (-2 3/4,0) and (0,-5)
Using the formula of linear equation
\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)
Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)
that is 1/3 = \(a\), 0 = \(a_{1}\) and
0 = \(b\), -5 = \(b_{1}\)
\(x\) refers to the slope of line (take any variable)
Now for finding the value of \(x\),
\(x=a-a_{1}/b-b_{1}\)
inserting the values,
\(x=[0-[-5]]/[0-1/3]\\x= -15\)
Substitute the value of \(x\) in the equation
\(a-0=-15[b-1/3]\)
By simplifying the equation, we get
\(a=-15b-5\)
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Hello can you guys help me with this
Answers
Answer:
Put a dot at 1,4 2,8 3,12 4,16 5,20
Step-by-step explanation:
x goes this way <----->
Y goes this way ↑ and ↓
Answer:
dot at 1,4 2,8 3,12 4,16 5,20
Step-by-step explanation:
pls help.
Part A and B
Answers
Do you guys have a thunder storm rn? bc i do
what 2+2=?
Don't answer lol
Answers
Answer:
4
Step-by-step explanation:
agsgbdhebwgedb3hebdb3hdnfnrn
Sophie is 3.5 years younger than her brother. She knows that when she is b years old, her brother is b+3.5 years old. Right now, Sophie is 11.5 years old.
How old is Sophie's brother?
Write your answer as a whole number or decimal
Answers
Earn points, answer both questions!
Answers
Answer:
Area of five squares = 1289.09 square units
Perimeter = 194.6 units
Step-by-step explanation:
Area of square and perimeter:
First find the length of each square, then find the area of each square.
To find the area of five squares, add all the area of each square.
Side of square1 = 27 units
\(\sf Side \ of \ square2 = \dfrac{2}{3}*27=2*9 = 18 \ units\\\\Side \ of\ square3= \dfrac{2}{3}*18=2*6=12 \ units\\\\Side \ of \ square4=\dfrac{2}{3}*12=2*4=8 \ units\\\\Side \ of \ square5=\dfrac{2}{3}*8=\dfrac{16}{3}=5.3 \ units\)
Area of square1 = 27*27 = 729 square units
Area of square2 = 18*18 = 324 square units
Area of square3 = 12*12 = 144 square units
Area of square4 = 8*8 = 64 square units
Area of square5 = 5.3*5.3 = 28.09 square units
Area of five squares = 729 + 324 + 144 + 64 +28.09
= 1289.09 square units
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Perimeter of the composite figure = (27 + 27+27+9) + (18+18+6) +(12+12+4) + (8+8+2.7)+ (5.3+5.3+5.3)
= 90 + 42 + 28 + 18.7 + 15.9
= 194.6 units
the perimeter is 194.6 units