SOLUTION: A pizza shop offers 5 different meat toppings and 7 vegetable toppings. How many ways may I select a pizza with 2 meat and 2 vegetable toppings.

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Question 1173646: A pizza shop offers 5 different meat toppings and 7 vegetable toppings. How many ways may I select a pizza with 2 meat and 2 vegetable toppings.
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


In choosing meats and toppings for a pizza, order does not matter, so this is a combination.

You need to choose 2 of the 5 kinds of meat: C(5,2).
And you need to choose 2 of the 7 vegetable toppings: C(7,2).

The total number of possible pizzas is

C%285%2C2%29%2AC%287%2C2%29+=+10%2A21+=+210