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 to

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 to      Log On


   



Question 146041: 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.
What's your favorite combo?








Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
8 different vegetables, 5 different meats, and 4 different cheeses.
.
We are looking for combinations since we are not interested in the order they are put on.
.
a) 8C4=70
b) 5C4=5
c) 4C4=1
d)
8C2=28
5C1=5
4C1=4
28*5*4=560
.
e)
3C5=10
4C1=4
10*4=40
.
Ed