A pizza shop has available toppings of sausage, peppers, bacon, mushrooms, and pepperoni. How many different ways can a pizza be made with 4 toppings?
Question
A pizza shop has available toppings of sausage, peppers, bacon, mushrooms, and pepperoni. How many different ways can a pizza be made with 4 toppings?
Solution
To solve this problem, we can use the combination formula which is C(n, k) = n! / [k!(n-k)!].
Here, n is the total number of available toppings, which is 5 (sausage, peppers, bacon, mushrooms, and pepperoni). And k is the number of toppings to be chosen, which is 4.
So, the number of different ways a pizza can be made with 4 toppings is C(5, 4) = 5! / [4!(5-4)!] = 5.
So, there are 5 different ways a pizza can be made with 4 toppings from the given 5 toppings.
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