answersLogoWhite

0


Best Answer

If you can double-up or triple up, then there are (5 x 5 x 5) = 125 possibilities. But actually that is for Permutations(meaning putting on Mushrooms Pepperoni and then Sausage, is a different set of ingredients than Pepperoni Sausage then Mushroom). So actually we want Combinations [order does not matter] See the related link for further explanation. The answer for Combinations with repetition is : n! / (r!(n - r)!), where n = 5 and r = 3, and:

  • 5! = 5 x 4 x 3 x 2 x 1 = 120,
  • 3! = 3 x 2 x 1 = 6
  • (5 - 3)! = 2! = 2 x 1 = 2, so we have 120 / (6 x 2) = 10.

If repetition is allowed, then the formula: (n + r -1)! / (r!(n - 1)!) is used. So we have: (5 + 3 - 1)! / (3!(5-1)!) = 7!/(3! x 4!) = 35 possible.
User Avatar

Wiki User

11y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How many 3 topping pizzas can you make with 5 toppings?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

How many 5 topping pizzas can you make with 7 toppings?

There are 7C5 = 7*6/(2*1) = 21 pizzas.


How many 3 topping pizzas can be made from 12 toppings?

220


How many pizzas can you make with four toppings?

4 pizzas


How many ways can 8 toppings be selected to make 3 topping pizzas?

8C3 = 8*7*6/(3*2*1) = 56


What and texture and topping do pizzas have?

they can come in many toppings e.g. pepperoni, chicken and sweetcorn, pineapple and ham etc.


How many 2 topping pizzas can be made out of 14 toppings not repeating any?

14 x 13 = 182


How many different pizzas can you make with 5 toppings?

13


How many different pizzas can you make with 8 different toppings what is the formula?

You can make 28 = 256 pizzas. Topping 1: You either have it or you don't: two choices. With each choice, for topping 2: You either have it or you don't: two choices. That makes 2*2 or 22 choices. With each choice for the first two, for topping 3: You either have it or you don't: two choices. That makes 2*2*3 or 23 choices. and so on, making 28 choices in all. Note that one choice will comprise no toppings.


How many different kinds of pizzas can you make out of 5 toppings?

If you must use all 5 with no repetition, you can make only one pizza. 5C5, the last entry on the 5 row of Pascal's triangle. If you can choose as many toppings as you want, all the way down to none (cheese pizza), then you have 5C0 + 5C1 + 5C2 + 5C3 + 5C4 + 5C5 = 32. Another way to think about it is no toppings would allow one pizza (cheese), one topping would allow two pizzas (cheese, pepperoni), two toppings would allow four pizzas, three toppings would allow eight pizzas, four toppings would allow sixteen, creating an exponential pattern. p = 2 ^ t. So, 10 toppings would permit 1024 different combinations


If you have 10 pizzas with 5 different choices of toppings how many different types of pizzas can you have?

25


How many pizza combinations can you make out of 12 14 16 and 18 inch crust 3 different pizza toppings?

32 combinations. 4 of these will have no toppings, or all three toppings, 12 will have one topping and another 12 will have 2 toppings.


How many combinations of pizza can you make out of 5 toppings?

120 5 x 4 x 3 x 2 x1 = Toppings 20 x 6 x 1 = Toppings 120 x 1 = Toppings 120 = Topping Combinations