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 4 toppings
2100
1800
1500
1200

Answer 1

seems to me that there are 5choose2 ways to cheese it up; and 10choose4 ways to top each of them
\[\binom{5}{2}\binom{10}{4}\]

Answer 2

5.4 10.9.8.7
--- * --------
2 4.3.2


5 10.9.8.7
--- * --------
2 3.2


5 10.9.2.7
--- * --------
1 3


5.10.3.2.7

Answer 3

So would it be 2100?

Answer 4

i believe so. 100*21, yep

Answer 5

Thanks

Answer 6

youre welcome