In your family reunion, you and your 9 cousins decided to have a remembrance
photo.

a) Find the number of permutation if all of you will pose in a row.

b) Only 4 cousins will be taken a picture at a time.
Hint: Use the formula P(n,r)
n!
-------
(n-r)!

Complete the following information
Given:
Solution:
Conclusion:

Question

Answered

Sagot :

Mistyglam14viz Mistyglam14viz · Answer 1

a) 3, 628, 800

b) 5, 040

A.

Given:

n = 10

Solution:

10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3, 628, 800

Conclusion:

Therefore, there are 3, 628, 800 number of permutations if all of us will pose in a row.

B.

Given:

n = 10 , r = 4

Formula:

[tex]P(n,r) =\frac{n!}{(n-r)!}[/tex]

Solution:

[tex]P(n,r) =\frac{n!}{(n-r)!}[/tex]

[tex]P(10,4) =\frac{10!}{(10-4)!}[/tex]

[tex]P(10,4) =\frac{10!}{6!} = \frac{10x9x8x7x6x5x4x3x2x1}{6x5x4x3x2x1}[/tex]

[tex]P(10,4) =\frac{3.628,800}{720}[/tex]

= 5, 040

Conclusion:

There are 5, 040 permutations of 10 of us if only 4 cousins will be taken a picture at a time.

Hope this helps.

#LearnWithBrainly