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:
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Answer:
a) 3, 628, 800
b) 5, 040
Step-by-step explanation:
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:
Solution:
= 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.
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