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 with explanation:
There are five identical fruits into three bowls
First fruit out of five fruits can be filled in any of three Bowls [tex]_{1}^{3}\textrm{C}\\\\=3[/tex].
Similarly, Second fruit can be filled in any of three Bowls in [tex]=_{1}^{3}\textrm{C}\\\\=3[/tex].
Third one[tex]=_{1}^{3}\textrm{C}\\\\=3[/tex].
Fourt fruit[tex]=_{1}^{3}\textrm{C}\\\\=3[/tex].
Fifth one[tex]=_{1}^{3}\textrm{C}\\\\=3[/tex].
Total nmber of ways of filling of 3 bowls by five identical fruits
=3×3×3×3×3
=243 ways
