/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q4. Evaluate each expression.P(7,5)... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

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−r)!, that is, P(n,r)=n!(n−r)!.

02

Step 2. Substitution.

Substitute 7 for nand 5 for rinto permutation formula.

P(7,5)=7!(7−5)!

03

Step 3. Simplify.

Simplify the above obtained expression.

P(7,5)=7!2!=7â‹…6â‹…5â‹…4â‹…3â‹…2â‹…12â‹…1=2520

The solution of given expression is 2520.

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