A chain restaurant offers a 1499 dinner deal that includes a

A chain restaurant offers a $14.99 dinner deal that includes a beverage, an appetizer, an entree, and a dessert. Of one of each must be chosen and the options include 10 beverages, 7 appetizers, 13 entrees, and 5 desserts, how many different dinner deals can a diner make?

Solution

Sol)

14 beverages, 6 appetizers, 9 entrees, and 4 desserts.

The different dinner deals can a diner make in which Of one of each must be chosen is

=14 C_¹ + 6C₁ + 9C₁ +4C₁

₌14+6+9+4

₌₃₃

The different dinner deals can a diner make in which Of one of each must be chosen is 33