## In how many ways can 5 different fruits be distributed among four children?

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### In how many ways can 5 different fruits be distributed among four children?

by BTGmoderatorDC » Wed May 18, 2022 5:31 am

00:00

A

B

C

D

E

## Global Stats

In how many ways can 5 different fruits be distributed among four children? (Some children may get more than one fruit and some may get no fruits.)

(A) 4^5
(B) 5^4
(C) 5!
(D) 4!
(E) 4!*5!

OA A

Source: Veritas Prep

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### Re: In how many ways can 5 different fruits be distributed among four children?

by GMATDude1 » Wed May 18, 2022 8:21 am
This is a 700-Level question.

There are 5 different fruits to be distributed among 4 children.
First person does not choose fruit in 5 ways. That would have been true if each child were to pick exactly 1 fruit. But here a child may not get any fruit and another may get 2 or more.

The number of ways to distribute 5 different fruits among 4 children = 4^5
Since each fruit has 4 choices for distribution.