A restaurant offers 4 different entrees, 6 different vegetables, and 6 different

Question

A restaurant offers 4 different entrees, 6 different vegetables, and 6 different desserts.

(a) If you are going to order one item from each category, how many different meals are possible?

(b) If you are going to order one entree, two different vegetables, and one dessert, how many different meals are possible?

(c) How many different meals are possible if you're going to order one entree, three different vegetables, and at most one dessert? (In other words you have the option of skipping dessert.)

Explanation / Answer

a) one item from each category

4c1 * 6c1 * 6c1 = 4*6*6

= 144 different meals are possible

b) one entree , 2 different vegetables , and one dessert

4c1 * 6c2 * 6c1 = 4* 15 * 6 = 360 different meals

c) one entree , 3 different vegetables , at most one dessret

4c1 * 6c3 * 1 = 80 different meals

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