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

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:

In this question:

3 dishes.

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.

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680