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Chapter 13: Q. 35 (page 855)

Lining People Up In how many ways can 4 people be lined up?

Short Answer

Expert verified

There are 24 ways to arrange 4 people.

Step by step solution

01

Step 1. Given information.

Total number of people is 4.

We need to arrange them in a line.

02

Step 2. Determine the possible ways of arrangement.

This is an example of a permutation without repetition.

Permutation formula is:

P(n,r)=n!(n-r)!

The number of ways to arrange 4 people is P(4,4).

P(4,4)=4!(4-4)!=4!0!=4路3路2路11=24

03

Step 3. Conclusion.

There are 24 ways to arrange 4 people.

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