Question

Trina is trying to decide which lunch combination to order at a sandwich shop: 4, 5, 6, or 7.Each combination comes with the choice of an apple, an orange, or a pear. How manypossible outcomes are there for a lunch combination and a piece of fruit?Type the answer in the box.

Answer 1

By counting principle, we have orders 4,5,6,7 which has four options to choose from, and a fruit, apple, orange or pear, which has three options to choose from.

Multiply the number of options for sandwiches and fruits and we get

$\begin{gathered} 4\rightarrow\text{ number of options for sandwiches} \\ 3\rightarrow\text{ number of options for fruits} \\ 4\cdot3=12 \end{gathered}$

Therefore, there are 12 number of lunch combinations.