Question

A pizza place offers 5 different cheeses and 10 different toppings. In how many ways can a pizza be made with 2 cheese and 3 toppings? i cannot figure this out and i know it's so simple!

Answer 1

do you know how to work out the number of different combinations of 2 from 5?

Answer 2

5*4*3*2*1?

Answer 3

i keep getting 120 for this problem

Answer 4

no thats factorial 5 or 5!

Answer 5

5!

Answer 6

you need 5C2
= 5!
-----
2! (5-2)!

Answer 7

i have 5C2 and 10C3

Answer 8

but i cant figure it out from there

Answer 9

and i got 10 for 5C2

Answer 10

5C2 = 5*4*3*2*1
----------
3*2*1 * 2*1

Answer 11

a quicker way to do these is as follows

5C2 = 5*4
--- = 10
2*1


10C3 = 10*9*8
------
3*2*1

Answer 12

so 120 times
10?

Answer 13

right!

Answer 14

ok! thanks so much!(:

Answer 15

yw

Answer 16

you multiply the 2 results together because the choice of cheeses and toppings are independent events