Question

Chef Ishaan is planning on opening a restaurant with a menu of 3 dishes: pesto chicken,kadai paneer, or bulgogi tacos. As a test run, he invites 7 friends to order a dish that he willmake and deliver to them. How many possible combinations of meals could Ishaan make

Answer 1

Ishaan could make 7 possible combinations of meals.

Explanation:

Number of subsets in a set of n elements:

The number of subsets in a set of n elements is given by:
`2^(n)`

In this question:

3 dishes.

`2^(3) = 8`

only one, two of them, or all three of the dishes.

Considering the dishes, there are no empty set(there cannot be an order with no dishes), so 8 - 1 = 7

Ishaan could make 7 possible combinations of meals.