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

Respuesta :

Answer:

Ishaan could make 7 possible combinations of meals.

Step-by-step explanation:

Number of subsets in a set of n elements:

The number of subsets in a set of n elements is given by: [tex]2^{n}[/tex]

In this question:

3 dishes.

[tex]2^{3} = 8[/tex]

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.