Question

There are 15 chocolates be distributed among 3 children subject to condition that child can take any number of chocolates. Find the required number of ways to do this if chocolates are distinct.

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

We have three children and we want 15 chocolates to be distributed among three children with repetition. Each chocolate can be distributed to three children in 3 ways. So, 15 chocolates can be distributed $=3\times 3\times 3\times 3\times \mathrm{3.........15}$ times.

This can be done in $3^{15}$ ways.