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  • Find the number of ways to put 5 balls in 4 boxes so that each box is filled with 0 or more balls.Option: 1 <img alt="4^{5}" src="https://entrancecor

Find the number of ways to put 5 balls in 4 boxes so that each box is filled with 0 or more balls.

Option: 1

4^{5}


Option: 2

5^{4}


Option: 3

3^{5}


Option: 4

2^{5}


Answers (1)

best_answer

Given that,

Number of balls, \mathrm{n=5}
Number of boxes, \mathrm{r=4}

First balls can be kept in any of the 4 boxes.

Similarly, the fifth ball has four choices.
Therefore, total number of ways
\mathrm{=4 \times 4 \times 4 \times 4 \times 4}.
\mathrm{=4^{5}}

 

 

Posted by

Deependra Verma

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