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Chapter 12: Q7. (page 797)

Evaluate each expression.

P(6,3)

Short Answer

Expert verified

120

Step by step solution

01

Step 1. Permutation formula.

The number of permutations ofn objects takenr at a time is the quotient ofn! and role="math" localid="1648116830734" (n鈭�r)!, that is, P(n,r)=n!(n鈭�r)!.

02

Step 2. Substitution.

Substitute 6 forn and 3 forr into permutation formula.

P(6,3)=6!(6鈭�3)!

03

Step 3. Simplify.

Simplify the above obtained expression.

P(6,3)=6!3!=6鈰�5鈰�4鈰�3鈰�2鈰�13鈰�2鈰�1=120

The solution of given expression is 120.

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