Mathematics
killerzebra123
14

(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?

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(1) Answers
Mireille708

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.

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