In how many ways can 5 bananas be distributed among 3 boys, there being no restriction to the number of bananas each boy
may get?

Question

In how many ways can 5 bananas be distributed among 3 boys, there being no restriction to the number of bananas each boymay get?

Philoid · Accepted Answer

As there is 5 banana, So suppose it as B₁, B₂, B₃, B₄, B₅ And Let the Boy be A₁, A₂, A₃

So B₁ can Be distributed to 3 Boys (A₁, A₂, A₃) by 3 ways,

Similarly, B₂, B₃, B₄, B₅ Can be distributed to 3 Boys by 3⁴

So total number of ways is 3⁵