Question

A pizza place offers 5 different cheeses and 10 different toppings. In how many ways can a pizza be made with 2 cheese and 4 toppings?

2100

1800

1500

1200

Answer 1

the answer is 2100! making a math tree helps with these types of problems

Answer 2

Answer: 2100

Explanation:

Given : A pizza place offers 5 different cheeses and 10 different toppings.

Then, the number of pizzas made with 2 cheese and 4 toppings is given by using combinations.

The combination of n things taken r at a time is given by :-

`^nC_r=(n!)/(r!(n-r)!)`

Then, the number of pizzas made with 2 cheese and 4 toppings will be :-

`^5C_2*^(10)C_4\\\\=(5!)/(2!(5-2)!)*(10!)/(4!(10-4)!)\\\\=10*210=2100`

Hence, the number of pizzas made with 2 cheese and 4 toppings =2100