SOLUTION: A pizza parlor has a choice of 11 toppings for its pizzas. From these 11 toppings, how many different 8 -topping pizzas are possible?

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Question 1094499: A pizza parlor has a choice of
11
toppings for its pizzas. From these
11
toppings, how many different
8
-topping pizzas are possible?

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!

You need to choose 8 of the 11 available toppings; the number of ways you can do that is, by definition, "11 choose 8", 11C8. For the actual calculation of the number, note that 11C8 is the same number as 11C3 (since each combination of 8 of the 11 toppings you choose corresponds to choosing NOT to choose 3 of the 11 toppings).

11C3 is
%2811%2A10%2A9%29%2F%283%2A2%2A1%29+=+165

There are 165 different pizzas you can make with 8 of the 11 toppings.