Alocal pizzeria offers 11 topping for their pizzas and you can choose any 5 of them for one fixed price how many different types of pizzas can you order with 5 toppings

Step-by-step

Customer is allowed to choose any five, where order does not count.

This means that there are 11 toppings to choose from for the first one, 10 for the second, 9 for the third, 8 for the fourth, and 7 for the last for a total of 11*10*9*8*7 = 11!/6! choices.

Since order does not count, we have over-counted by 5!, so the final answer should be 11!/(6!*5!) choices.

Mathematically, this number is represented by

C(11,5) = 11!/(6!5!) = 462, and is read

"Combination of 5 choices out of 11", or simply "11 choose 5".

answer: 7270

step-by-step explanation:

by definition, an arc subtended by a central angle of some given measure has the same measure. so .