SOLUTION: A pizza shop offers the following toppings: 8 different vegetables, 5 different meats, and 4 different cheeses. How many ways can 4 toppings be selected where: a.All the topp

Algebra ->  Permutations -> SOLUTION: A pizza shop offers the following toppings: 8 different vegetables, 5 different meats, and 4 different cheeses. How many ways can 4 toppings be selected where: a.All the topp      Log On


   



Question 85232: A pizza shop offers the following toppings: 8 different vegetables, 5 different meats, and 4 different cheeses.
How many ways can 4 toppings be selected where:
a.All the toppings are vegetables
b.All the toppings are meat
c.There is only cheese on the pizza
d.There are 2 vegetables, 1 meat and 1 cheese
e.There are 3 meats and 1 cheese.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A pizza shop offers the following toppings: 8 different vegetables, 5 different meats, and 4 different cheeses.
How many ways can 4 toppings be selected where:
a.All the toppings are vegetables
8C4
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b.All the toppings are meat
5C4
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c.There is only cheese on the pizza
4C4
------------
d.There are 2 vegetables, 1 meat and 1 cheese
8C2 * 5C1 * 4C1
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e.There are 3 meats and 1 cheese.
5C3 * 4C1
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Cheers,
Stan H.