Section 53 6 Find the value of the factorial 7 Answer 12 Fin

Section 5.3

6. Find the value of the factorial, 7!

Answer:

12. Find the value of the permutation 7P2

Answer:

14. Find the value of the combination 9C2

Answer:

32. Clothing Options: A woman has ve blouses and three skirts. Assuming that they all match, how many different outts can she wear?

Answer:

Solution

6.

7! = 7*6*5*4*3*2*1 = 5040

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12.

As

nPr = n! / (n - r)!

Then

7P2 = 7! / (7 - 2)! = 42 [ANSWER]

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14.

As nCr = n! / [r! (n - r)!]

Then

9C2 = 9! / [2! (9- 2)!] = 36 [ANSWER]

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32.

By multiplication rule,

N = 5 * 3 = 15 outfits [ANSWER]