A couple visits a restaurant where they have 3 options for a

A couple visits a restaurant where they have 3 options for appetizer, 6 for the main course, and 4 for dessert. In how many ways can they choose their meal?

Solution

number of ways they can choose their appetizer = 3C1

similarly

number of ways they can choose their maincourse = 6C1

number of ways they can choose their dessert = 4C1

so

total number of ways they can choose their meal = 3C1 * 6C1 * 4C1

= 3 * 6 * 4

= 72