Question

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

Answer 1

Answer:

243 outcomes

Step-by-step 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....

Answer 2

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