The pizza shop offers the top being shown below how many different three topping pizzas can you make pepperoni mushrooms sausage onion ham
6
10
4*
5
5C3 = 10
To find out how many different three-topping pizzas you can make with the given toppings (pepperoni, mushrooms, sausage, onion, and ham), you can use the combination formula. The combination formula is represented as ππΆπ, which calculates the number of ways to choose π items from a set of π items without considering their order.
In this case, π = 5 (the number of available toppings) and π = 3 (we want to choose three toppings for each pizza).
The formula for combination is ππΆπ = π! / (π! * (πβπ)!), where "!" denotes the factorial of a number (the product of all positive integers less than or equal to that number).
Plugging in the values, we have:
ππΆπ = 5! / (3! * (5β3)!)
= (5 * 4 * 3!) / (3! * 2 * 1)
= 5 * 4 / (2 * 1)
= 20 / 2
= 10
Therefore, you can make 10 different three-topping pizzas using the given toppings.
The correct answer is 10, not 4 as you mentioned.