Question

A group of friends is going out for pizza, and they decide that each person gets to choose one topping for the pizza. There are 44 friends, and there are 99 toppings to choose from. How many ways can the 44 friends make a pizza from 99 toppings, if they each choose a different topping? There are __[blank]__ ways the 44 friends can make a pizza from 99 toppings.

Answer 1

126

Explanation:

The number of ways 4 items can be chosen from 9 is ...

9C4 = 9!/(4!(9-4)!) = 9·8·7·6/(4·3·2·1) = 9·7·2 = 126

There are 126 ways the 4 friends can make a pizza from 9 toppings.

_____

If you really mean to have a pizza with 44 toppings from a list of 99, there are about 2.765×10^28 ways to do that.

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