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  • Find the number of ways to put 3 marbles, each of a different colour, in 5 urns so that each urn is filled with 0 or more marbles.Option: 1 <img alt=

Find the number of ways to put 3 marbles, each of a different colour, in 5 urns so that each urn is filled with 0 or more marbles.

Option: 1

5^{4}


Option: 2

5^{2}


Option: 3

5^{3}


Option: 4

5^{5}


Answers (1)

best_answer

Given that,

Number of marbles, \mathrm{n=3}
Number of urns, \mathrm{r=5}

First marbles can be kept in any of the 5 urns.

Similarly, the third marbles has five choices.

Therefore, total number of ways

\mathrm{ =5 \times 5 \times 5 \\ }
\mathrm{ =5^{3} }

Posted by

Pankaj

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