Question

A pizza shop offers nine toppings. No topping is used more than once. What is the probability that the toppings on a pizza are pepperoni, onions, and mushrooms?
I think the way to solve it is 9C3 which equals 84. And the probability would be 0.012. But my friend is telling me its wrong because he did it by multiplying 1/9 x 1/8 x 1/7.
Can someone tell me who is right?

Answer 1

My solution to the problem would be:

 9! / (6! * 3!) = 1 in 84.

Therefore, the probability that the toppings on a pizza are pepperoni, onions, and mushrooms would be 1 in 84.

I hope my answer has come to your help. God bless and have a nice day ahead!