Question

In how many ways can we put five identical fruits into three bowls? Note that the bowls may be empty.

Answer 1

Answer with explanation:

There are five identical fruits into three bowls

First fruit out of five fruits can be filled in any of three Bowls
`_(1)^(3)\textrm{C}\\\\=3`.

Similarly, Second fruit can be filled in any of three Bowls in
`=_(1)^(3)\textrm{C}\\\\=3`.

Third one
`=_(1)^(3)\textrm{C}\\\\=3`.

Fourt fruit
`=_(1)^(3)\textrm{C}\\\\=3`.

Fifth one
`=_(1)^(3)\textrm{C}\\\\=3`.

Total nmber of ways of filling of 3 bowls by five identical fruits

=3×3×3×3×3

=243 ways

Answer 2

243 outcomes

Explanation:

Number of fruits = 5

Number of bowls = 3

Number of ways to put the fruits in the bowls = ?

Consider the number of choices for each fruit.

There are three bowls where you can place that fruit. So for all five fruits, there are a total of:

3^5 = 3*3*3*3*3

= 243 outcomes....