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Fundamental Principle of Counting

In how many w...

Question

In how many ways can 5 different balls be distributed among three boxes?

A

3!

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B

5³

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C

5!

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D

3⁵

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Solution

The correct option is D
3⁵

As we know that there are three choices (3 boxes) for each of the 5 balls. Therefore, by fundamental principle of multiplication

Total number of ways = 3 x 3 x 3 x 3 x 3 = 3⁵

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