Question

Perfect pizza has 16 toppings listed on their menu. how many ways could a customer choose a pizza that contains 5 different toppings?

Answer 1

Answer:

4368 ways

Step-by-step explanation:

Use nCk for this. 16C5. This is $\frac{n!}{(n-k)!(k!)}$. This becomes$\frac{16!}{(11!)(5!)}$. This is $\frac{16*15*14*13*12}{5*4*3*2*1}$ due to 16! and 5! canceling out. This becomes 4368.