A child has 6 pockets. In how many ways, he can put 5 marbles in his

Question:

A child has 6 pockets. In how many ways, he can put 5 marbles in his pocket?

 

Solution:

The first marble can be put into the pockets in 6 ways,

i.e. Choose 1 Pocket From 6 by ${ }^{6} \mathrm{C}_{1}=6$

Similarly second, third, Fourth, fifth \& Sixth marble. Thus, the number of ways in which the child can put the marbles is $\underline{6^{5}}$

 

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