Question

An artist will arrange 5 identical plastic apples in 3 wooden bowls—one made of maple, one of oak, and one of pine. How many different arrangements are possible such that each bowl will contain at least one apple? 6 9 10 15 60

Answer 1

There are 6 different arrangements possible.

Step-by-step explanation:

To find the number of different arrangements of 5 apples in 3 wooden bowls, we can use the concept of stars and bars. Each apple represents a star and the spaces between the bowls represent the bars. We need to distribute the 5 stars among the 3 bars in a way that each bowl has at least one star.

Using the stars and bars formula, the number of different arrangements is given by (5-1)C(3-1) = 4C2 = 6.

Therefore, there are 6 different arrangements possible.