(a) a pizza parlor has a choice of 11 toppings for its pizzas. from these 11 toppings, how many different 7 -topping pizzas are possible?

To solve for the number of different possible pizzas with 7 toppings out of 11 and the arrangement of these toppings is not important, therefore we use the combination formula.

The formula for combination is:

n C r = n! / r! (n – r)!

where,

n = is the total number of toppings = 11

r = the number of toppings in a pizza = 7

Substituting the values into the equation:

11 C 7 = 11! / 7! (11 – 7)!

11 C 7 = 11! / 7! * 4!

11 C 7 = 330

Therefore there are a total different 330 pizzas with 7 different combinations toppings.

positive

step-by-step explanation:

the quadrant is facing upwards