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 $\underline{6^{5}}$