SOLUTION: Suppose that a pizza parlor features four specialty pizzas and pizzas with three or fewer unique toppings (no choosing twice!) chosen from 17 available toppings. How many different

Algebra ->  Permutations -> SOLUTION: Suppose that a pizza parlor features four specialty pizzas and pizzas with three or fewer unique toppings (no choosing twice!) chosen from 17 available toppings. How many different      Log On


   

Question 1183042: Suppose that a pizza parlor features four specialty pizzas and pizzas with three or fewer unique toppings (no choosing twice!) chosen from 17 available toppings. How many different pizzas are there? (3pts)
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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Suppose that a pizza parlor features four specialty pizzas and pizzas with three or fewer unique
toppings (no choosing twice!) chosen from 17 available toppings. How many different pizzas are there?
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4 pizzas with no topping,  PLUS


4*17 pizzas with one topping  PLUS


4*17*16 pizzas with two toppings PLUS


4*17*16*15 pizzas with three toppings


    the total = 4 + 4*17 + 4*17*16 + 4*17*16*15 = 17480 different pizzas.    ANSWER

Solved and explained.