Question

A pizza place offers 3 different cheeses and 12 different toppings. In how many ways can a pizza be made with 1 cheese and 3 toppings?

198
660
1485
2376

Answer 1

The number of combinations of twelve toppings taken three at a time is C(12, 3). Each of the three cheeses can be combined with each of these combinations of toppings, giving a total number of ways of making a pizza:
\[\large 3\times C(12, 3)=\frac{3\times12\times11\times10}{3\times2\times1}=you\ can\ calculate\]