Question

A catering service offers 7 appetizers 4 main courses and 10 desserts a customer is to select 3 appetizers 2 main courses and 4 desserts in how many ways can this be done

Answer 1

44,100 ways.

Explanation:

Number of ways to select 3 appetizers from 7 = 7C3 = 7*6*5/3*2*1 = 35.

Number of ways to select 2 mains from 4 = 4C2 = 4*3 / 2 = 6.

Number of ways to select 4 desserts from 10 = 10C4 = 10*9*8*7/4*3*2 = 210.

So this can be done in 35*6*210 = 44,100 ways.