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

48 different meals are being offered

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) = (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) = (2!)/(1!(2-1)!)*(4!)/(1!(4-1)!)*(6!)/(1!(6-1)!) = 48`

48 different meals are being offered