SOLUTION: A pizza shop advertises that they have 8 toppings, and they sell large, medium, and small pizzas. On a small pizza, you must choose 3 different toppings. On a medium pizza, you mus

Algebra ->  Sequences-and-series -> SOLUTION: A pizza shop advertises that they have 8 toppings, and they sell large, medium, and small pizzas. On a small pizza, you must choose 3 different toppings. On a medium pizza, you mus      Log On


   

Question 394739: A pizza shop advertises that they have 8 toppings, and they sell large, medium, and small pizzas. On a small pizza, you must choose 3 different toppings. On a medium pizza, you must choose 4 different toppings, and on a large, you must choose 5 different toppings. How many different pizzas can they make?
choose the answer and explain the reason to choose your response, the answer has to be one of the following:
475
219
182
657

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Note: nCx = n%21%2F%28x%21%28n-x%21%29%29

 small =  8C3 different pizzas = 56

medium =  8C4 different pizzas = 70

large =   8C5 different pizzas = 56

Total number of different pizzas = 56 + 70 + 56