Question

A pizza parlor offers 8 different specialty pizzas. If the Almeida family wants to order 2 specialty pizzas from the menu, which method could be used to calculate the number of possibilities?

8 factorial divided by 2 factorial
8 factorial divided by 6 factorial
8 factorial divided by the quantity 6 factorial times 2 factorial end quantity
12!

Answer 1

(c) 8!/(6!·2!)

Explanation:

You want to know how to compute the number of possible ways 2 different pizzas can be chosen from a menu of 8.

8 Choose 2

The formula for computing the number of combinations of n things taken k at a time is ...

nCk = n!/(k!(n -k)!)

For 8 specialty pizzas chosen 2 at a time, this is ...

8C2 = 8!/(2!·6!)

The appropriate answer choice is ...

possibilities = 8!/(6!·2!)

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Additional comment

That is (8·7)/(2·1) = 28 possibilities, assuming choice of different pizzas.

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