Question

a local pizzaria offers 15 toppings for their pizzas you can choose any 4 of them for a fixed price how many different types of pizzas can you order with 4 toppings

Answer 1

Since we can choose 4 of the 15 toppings, we can order 1365 different types of pizzas with 4 toppings

Since the question says 'choose', it is a combination question and order is not important.

What is combination?

This is the number of ways in which x objects can be selected from n objects.

It is given mathematically as ⁿCₓ = n!/[r!(n - r)!]

Number of different types of pizzas

Now given that we have 15 toppings for pizza and we want to choose any 4, So, we are choosing 15 toppings in 4 ways. So,

• n = 15 and
• r = 4

So, ¹⁵C₄ = 15!/4!(15 - 4)!

= 15!/4!11!

= 15 × 14 × 13 × 12 × 11!/4!11!

= 15 × 14 × 13 × 12/24

= 15 × 7 × 13

= 1365 ways

So, we can order 1365 different types of pizzas with 4 toppings

Learn more about combination here:

https://brainly.com/question/26852614

#SPJ1