What is the number of possible permutations of 8 objects taken 4 at a time?

A.
24
B.
70
C.
1,680
D.
40,320

Answers

Answer 1

Answer:

1,680

Step-by-step explanation:

n!/(n-r)!

in this case n= 8 and r= 4

so 8!/(8-4)! = 1,680

Answer 2

The possible permutation of 8 objects taken at 4 a time will be 1680.

What is permutation?

The linear arrangement of the set of the orders or the linear arrangements of the numbers is called the permutation.

The number of possible permutations of 8 objects taken 4 at a time will be:-

[tex]^8C_4=\dfrac{8!}{(8-4)!}[/tex]

[tex]^8C_4=\dfrac{8!}{(4)!}[/tex]

[tex]^8C_4=\dfrac{8 \times 7\times 6\times 5\times 4\times 3\times 2}{4\times 3\times 2}=1680[/tex]

Therefore the possible permutation of 8 objects taken at 4 a time will be 1680.

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Related Questions

Draw a picture first, then use the Pythagorean Theorem to solve. Round
your answer to the nearest tenth.
A wire is stretched from the top of an 8-ft. pole, to a bracket 5-ft. from the
base of the pole. How long is the wire?
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Answers

Answer:

your answer would be 9.4

Step-by-step explanation:

you'd have to plug in the numbers in the equation.

8^2 + 5^2 = c^2

64 + 25 = c^2

89 = c^2 then you'd do the square root of 89 which will give you 9.4 when rounded to the nearest tenth.

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Answers

Answer:

6.25 divided by 0.025 is 250

Bernard typically runs x km/hour. While he was sick, he only ran 41.5 km/hour. What equation represents that the difference in his speeds is 13.5 km/hour?
x – 41.5 = 13.5
41.5 + x = 13.5
13.5 – x = 41.5
13.5 – 41.5 = x

Answers

Answer: A) x-41.5=13.5

Step-by-step explanation: edge

Answer:

a is correct

Step-by-step explanation:

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Answers

Y=7 x=3 if you plug them in they equal out

$2.99 toy ; 30% discount​

Answers

Answer:

is 2.99 the price before or after the discount

Answer:

2.69 i think

Step-by-step explanation:

An adult cheetah can run up to 70 miles per hour. About how fast is this in feet per second?

Answers

Answer:

An adult cheetah can run 103 feet per second!

Step-by-step explanation:

First we need to convert our miles to feet, there are 5,280 feet in one mile.

So 70 miles multiplied by 5,280 feet is 369,600 feet.

Now we need to convert an hour to seconds.

There are 60 seconds in one minute, so we multiply 60 seconds by 60 minutes, there are 3,600 seconds in one hour.

Now we need to divide the number of feet by the number of seconds.

369,600 ÷ 3,600 = 102.666667

102.666667 rounded to the nearest whole number is 103.

Which two triangles are congruent? Complete the congruence statement.


Answers

Answer:

∆VXW and ∆BDC are congruent

Step-by-step explanation:

to proof:∆VXW and∆BDC are congruent

proof:

statements reasons

1.in ∆VXW and ∆BDC, 1.

i.VW=BD(S) i.given

ii.VX=CD(S) ii.given

iii.XW=BC(S) iii.given

2.∆VXW and∆BDC 2.using S.S.S axiom

are congruent

hence proved.

HELP ANSWER X FOR THIS ISOSCELES TRIANGLE THANK YOU

Answers

Answer:

Step-by-step explanation:

Remark

The point about the question is that the two sides are marked as equal.

Equation

3x + 5 = 5x + 1                  Subtract 3x from both sides

Solution

3x - 3x + 5 = 5x - 3x + 1   Combine like terms

5 = 2x + 1                          Subtract 1 from each side

5-1 = 2x +1 - 1                    Combine

4 = 2x                               Divide by 2

4/2 = 2x/2

x = 2    

Which equation is the result of solving y-p=m(x-q) for x ?

Answers

Answer:

x=[tex]\frac{y}{m} -\frac{p}{m} +q[/tex]

Step-by-step explanation:

Factor the expression using the GCF. 25 + 50

Answers

Answer:75

Step-by-step explanation:

some one please help me ms derienzo is killing my little pea brain

Answers

I’m pretty sure the answer would be A, sorry if i’m incorrect, have a great day :)

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Answers

the answer is D 21 :)

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Answers

Answer:

5cm

Step-by-step explanation:

(3+7)divided by 4 = 2.5

2.5 x 2 = 5

What is the solution set for -4x - 10 ≤ 2?

x ≤ -3
x ≥ -3
x ≤ 2
x ≥ 2

Answers

The answer is b
X > -3
Hope it helps

Chris wrote an equation and the first step of his solution process, as shown.

6 = 12 − 6x
-6 = -6x

Which math operation did Chris apply in his first step?
A) He divided 16 by 4.
B) He added 12 to each side of the equation.
C) He divided each side of the equation by 4.
D) He subtracted 12 from each side of the equation.
Please help me

Answers

d) he subtracted 12 from each side of the equation

hope this helps, please mark brainliest :)
D) He subtracted 12 from each side of the equation.

6 (6 + 7) = show work

Answers

Answer:

78

Step-by-step explanation:

6 (6+7) =

36 + 42 =

78

6x(6+7)

6x13

78

Hope this helped

Pedals of Petals, a bike manufacturer that makes flower-themed bikes, has a fixed cost of $100,000 due to the equipment necessary to make the bicycles. Additionally, each bike costs $100 in labor and materials to make. If each bike sells for $300, how many bikes must be sold in order for the company to break even?

Answers

Answer:

Break-even point in units= 500

Step-by-step explanation:

Giving the following information:

Fixed costs= $100,000

Unitary variable cost= $100

Selling price per unit= $300

To calculate the break-even point in units, we need to use the following formula:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 100,000 / (300 - 100)

Break-even point in units= 500

6x+4x-1=2(5x4) help please

Answers

Answer:

the answer to your question is 10x+39

Answer:

x= 4.1

Step-by-step explanation:

6x+4x-1= 2(5x4)

10x-1 = 2 x 20

10x -1 = 40

10x = 41

10x/ 10 = 41/10

x= 4.1


What is the value of f(4)?
f(4)=_______

Answers

The answer would be 0

A pack of 6 gatorades costs $4.50. What is the price per Gatorade?

Answers

Answer:

$0.75

Step-by-step explanation:

Given that a pack of 6 Gatorades costs 4.50, simply divide 4.50 by 6.

4.50/6=0.75

Thus, $0.75 is your answer.

(Please Mark Brainliest.)

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Answers

Thank you so much!
I needed that

use standard algorithm to solve
1,457 x 56​

Answers

Answer:

the answer is 81,592 cuz you have to multiple

This is hard I need help

Answers

Answer:

Step-by-step explanation:

2,618×[tex]10^{5}[/tex]

[tex]10^{5}[/tex]=100,000

An easy way to do this is to put the number of zeros from 10 into the number

261,800,000

Keep calm and carry on wants to design a bag for a new

Answers

Answer:

ok

Step-by-step explanation:

Answer:

OK, I will do that sir

Step-by-step explanation:

18 POINTS AND BRAINLIEST A system of equations is shown.
What is the value of x in the solution to the system?
4x + 2y = 10
2x - 2y = 8

Answers

Answer:

(x.y) = (3,-1)

Step-by-step explanation:

Ok the last on is 4 I think?

which fraction had the lowest value?
ILL GIVE BRAINLIEST GIVING 35 POINTS

Answers

Answer:

Its C -7/8

Step-by-step explanation:

I am pretty sure.

Answer: 7/8

Step-by-step explanation:

The fractions are

-1/8, -5/8, -7/8, or -3/8​

We will convert each fraction to decimal.

-1/8 = - 0.125

- 5/8 = - 0.625

- 7/8 = - 0.875

- 3/8 = - 0.375

Arranging the decimals in an increasing order, it becomes

- 0.875, - 0.625, - 0.375, - 0.125

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Uriah deposited a check into his account for $310.64. Then, he withdrew 129.43 in cash in the same transaction. What is the net amount of Uriah's transaction?

Answers

310.64 - 129.43 equals 181.21

Your answer is 181.21

I hope this helped!


I would appreciate it if you gave me a Thanks and a brainliest (:

The computer club has a budget of $80 for a pizza party club can get large pizzas for $10 in cases of soda for five dollars the club like to buy at least five large pizzas and at least three cases of soda

Answers

Answer:

im sorry this is confusing

Step-by-step explanation:

What is 5/9 divided by 1/2 rewritten with an improper fraction

Answers

It would be 10/9

Use the keep, change, flip rule to solve

5*2=10 which will be in top

And 9*1=9 which will be at the bottom

The division expression 5/9 divided by 1/2, when rewritten as an improper fraction, is 10/9.

Given that the expression 5/9 divided by 1/2.

To rewrite the division expression 5/9 divided by 1/2 as an improper fraction, and perform the division operation and express the result in the form of a single fraction.

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. In this case, multiply 5/9 by the reciprocal of 1/2.

Reciprocal of 1/2 = 2/1

So, the division expression can be rewritten as:

5/9 ÷ 1/2 = 5/9 x 2/1

Multiplying the fractions:

(5 x 2) / (9 x 1) = 10/9

An improper fraction is one where the numerator is equal to or greater than the denominator. In this case, 10/9 is an improper fraction because the numerator (10) is greater than the denominator (9).

Therefore, the division expression 5/9 divided by 1/2, when rewritten as an improper fraction, is 10/9.

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A=1/2w(b+c) solve for c

Answers

9514 1404 393

Answer:

  c = 2A/w -b

Step-by-step explanation:

Multiply by the inverse of the coefficient of the parentheses.

  [tex]A=\dfrac{w}{2}(b+c)\\\\\dfrac{2A}{w}=b+c\\\\\boxed{c=\dfrac{2A}{w}-b} \qquad\text{subtract $b$}[/tex]

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