a A restaurant offers 15 possible toppings for its pizzas Ho

(a) A restaurant offers 15 possible toppings for its pizzas. How many different pizzas with 4 different toppings can be ordered?

(b) How many ways can 5 people stand in line at the restaurant?

(c) The restaurant has 12 rooms. We want to paint 4 yellow, 3 purple, and 5 red. In how many ways can this be done?

Solution

No of topping 15

a) NO of 4 different toppings = 15C4 = 1365

(b) 5 people can stand in 5! ways

c) No of ways = 12C4(8C3) (5C5)

= 495(56)

= 27720