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Chapter 12: Q4. (page 797)

Evaluate each expression.

P(7,5)

Short Answer

Expert verified

2520

Step by step solution

01

Step 1. Permutation formula.

The number of permutations ofn objects takenr at a time is the quotient ofn! and (n鈭�r)!, that is, P(n,r)=n!(n鈭�r)!.

02

Step 2. Substitution.

Substitute 7 for nand 5 for rinto permutation formula.

P(7,5)=7!(7鈭�5)!

03

Step 3. Simplify.

Simplify the above obtained expression.

P(7,5)=7!2!=7鈰�6鈰�5鈰�4鈰�3鈰�2鈰�12鈰�1=2520

The solution of given expression is 2520.

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