That sounds like a delicious choice! Ross has a variety of options for his pizza with two extra toppings. Since he already has the basic pizza with cheese and tomato, he can choose any two toppings from the four extra options: olives, ham, mushrooms, and salami.
To calculate the total number of possible combinations, we can use the combination formula for selecting 2 items out of 4:
nCr = n! / r!(n-r)!
In this case:
n = 4 (total number of extra toppings)
r = 2 (number of toppings to choose)
Combination formula:
4C2 = 4! / 2!(4-2)!
4C2 = 4! / 2!2!
4C2 = 24 / 2*2
4C2 = 6
Therefore, Ross has 6 different combinations for his pizza with two different extra toppings. He can choose from 6 possible combinations of olives and ham, olives and mushrooms, olives and salami, ham and mushrooms, ham and salami, or mushrooms and salami. Each combination will bring a unique flavor to his pizza!
PH