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7. How many different ways can a class of 22 second graders line up to go to lunch?

User Gurmeet
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1 Answer

3 votes

Answer:

The number of different ways are 22! or 1,124,000,727,777,607,680,000.

Explanation:

Consider the provided information.

We need to determine the number of different ways can a class of 22 second graders line up.

We need to select 22 second graders while taking 22 at a time.

So use the permutation formula:
^(n)P_(n)

Substitute n=22 and simplify.


^(22)P_(22)=(22!)/((22-22)!)\\22!=1,124,000,727,777,607,680,000

Hence, the number of different ways are 22! or 1,124,000,727,777,607,680,000.

User Bogdanovist
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8.4k points

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