Question

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Chef Kasmin is considering adding a prix-fixe ("fixed price") $10 meal option to the Red Zone menu.

Customers will have the choice between 2 salads, 4 sandwiches, and 6 sides.

How many different meals are being offered?

Answer 1

Answer:

48 different meals are being offered

Step-by-step explanation:

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

One salad, from a set of 2.

One sandwich, from a set of 4.

One side, from a set of 6.

So

$T = C_{2,1}*C_{4,1}*C_{6,1} = \frac{2!}{1!(2-1)!}*\frac{4!}{1!(4-1)!}*\frac{6!}{1!(6-1)!} = 48$

48 different meals are being offered