Answer:
A) 362880
B) 4
Step-by-step explanation:
Given that a customer can choose from nine toppings
To find different types of pizza the restaurant serve, we will permutate it. That is 9 factorial
9! = 362880 different types of pizza
B) if it wishes to offer at least 2,000 different types of pizza, then,
9 permutation x is equal to 2000. That is 9Px = 2000
Let's find x
9!/(9-x)! = 2000
(9 - x)! = 9!/2000
(9-x)! = 181.44
Let assume x = 4
(9 - 4)! = 181.44
5! = 181.44
120 = 181.44
The two numbers are very close. Therefore, 4 is the minimum number of toppings the restaurant must provide if it wishes to offer at least 2,000 different types of pizza?
toppings
