4 A restaurant serves seven types of sandwiches three soups

4. A restaurant serves seven types of sandwiches, three soups, and two salads.

(a) How many ways can a customer order if exactly one item is ordered ordered?

(b) How many ways can a customer order a choice of sandwich, soup, and salad if each must be ordered?

(c) How many ways can a customer order a choice of sandwich, soup, or salad if exactly one item is ordered?

Solution

a)

NO preference on which item is to be chosen

Total 12 items

SO, C(12,1)=12 ways

b)

Assuming one each of each type of item

SO, C(7,1)C(3,1)C(2,1)=42 ways

c)

No preference is given so same as part a.

Hence, 12 ways