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  • A pizza place offers 5 different toppings, but a customer must choose at least 2 toppings for their pizza. How many different pizza combinations are possible?Opt

A pizza place offers 5 different toppings, but a customer must choose at least 2 toppings for their pizza. How many different pizza combinations are possible?

Option: 1

26


Option: 2

13


Option: 3

33


Option: 4

42


Answers (1)

To calculate the number of different pizza combinations, we need to consider the options for the number of toppings the customer can choose: 2,3,4, or 5 toppings.

Case 1: 2 toppings:
To calculate the number of combinations for 2 toppings, we can use the combination formula: \mathrm{C(5,2)=5 ! /(2 ! \times(5-2) !)=10}.

Case 2: 3 toppings:
Using the combination formula: \mathrm{C(5,3)=5 ! /(3 ! \times(5-3) !)=10}.

Case 3: 4 toppings:
Using the combination formula: \mathrm{C(5,4)=5 ! /(4 ! \times(5-4) !)=5}.

Case 4: 5 toppings:
There is only one option, which is to choose all 5 toppings.

To find the total number of different pizza combinations, we sum? the possibilities from all the cases: \mathrm{10 ( 2 ~toppings )+10 ( 3 ~toppings )+5 ( 4~ toppings )+1 ( 5 ~toppings )=26}

Therefore, there are 26 different pizza combinations possible.

Posted by

Sumit Saini

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