Question

Three large packages of cookies are available: oatmeal, chocolate chip, and shortbread. In how many ways can one cookie be placed on each of 10 identical white plates?

Answer 1

`3^(10)`

Explanation:

Given,

The number of packages of cookies = 3 ( oatmeal, chocolate chip, and shortbread )

Since, in each packet the number of possible ways of placing a cookie = 3 ( ∵ we can place from any of the packets )

If there are 10 such plates,

Then the total possible ways of placing a cookie in 10 plates

= 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3

`=3^(10)`