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 (nr)!, that is, P(n,r)=n!(nr)!.

02

Step 2. Substitution.

Substitute 7 for nand 5 for rinto permutation formula.

P(7,5)=7!(75)!

03

Step 3. Simplify.

Simplify the above obtained expression.

P(7,5)=7!2!=765432121=2520

The solution of given expression is 2520.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Study anywhere. Anytime. Across all devices.

Sign-up for free