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  • In how many ways can 3 different books be distributed to 4 different people, if each person can receive any number of books (including 0)?  Opti

In how many ways can 3 different books be distributed to 4 different people, if each person can receive any number of books (including 0)?

 

Option: 1

64


Option: 2

81


Option: 3

144


Option: 4

169


Answers (1)

best_answer

Since each person can receive any number of books (including 0), we can use the multiplication principle to solve this problem. 

For each book, we have 4 choices of people to give it to, and there are 3 books in total. 

Thus, the total number of ways to distribute 3 different books to 4 different people is given by,

\begin{aligned} &4^3=4 \times 4 \times 4\\ &4^3=64 \end{aligned}

Therefore, the number of ways the books are distributed is 64.

 

Posted by

Shailly goel

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