Catering service offers 8 appetizers, 11 main courses, and 7 desserts. a banquet committee is to select 7 appetizers, 8 main courses, and 4 desserts. how many ways can this be done?

 The required number of ways is 46200.

Step-by-step explanation:  Given that a catering service offers 8 appetizers, 11 main courses, and 7 desserts.

A banquet committee is to select 7 appetizers, 8 main courses, and 4 desserts.

We are to find the number of ways in which this can be done.

We know that

From n different things, we can choose r things at a time in ways.

So,

the number of ways in which 7 appetizers can be chosen from 8 appetizers is

the number of ways in which 8 main courses can be chosen from 11 main courses is

and the number of ways in which 4 desserts can be chosen from 7 desserts is

Therefore, the number of ways in which the banquet committee is to select 7 appetizers, 8 main courses, and 4 desserts is given by

Thus, the required number of ways is 46200.

45

step-by-step explanation:

the difference between a number and 5 is -2.

step-by-step explanation:

notice that the equation you are given has -2 (negative 2) on the right side, not 2. when you subtract 5 from a number n, you are finding the difference between the number and 5.

the difference between a number and 5 is -2.