00:01
In this problem, it is said that a pizza shop offers nine toppings.
00:05
No topping is used more than once, and we need to find the probability that the toppings on a three topping pizza are pepperoni, onions, and mushrooms.
00:14
So the required probability will be the number of favorable outcomes divided by the total number of outcomes.
00:19
First of all, consider the total number of outcomes.
00:22
That will be the number of three topping pizzas which are possible.
00:25
So the pizza shop offers nine different toppings, and out of them any three are selected, for the three topping pizza, and this is because it has said that no topping is used more than once, and the number of ways we can do this is 9c3.
00:40
Here we use c, which represents combination, and we use combination and our permutation in this case, because the order of selection of the toppings does not matter.
00:48
So that's our total number of outcomes...