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  • A pizza restaurant offers a choice of 10 toppings, and a customer can select up to 4 toppings for their pizza. However, they insist on having at least 2 different topping

A pizza restaurant offers a choice of 10 toppings, and a customer can select up to 4 toppings for their pizza. However, they insist on having at least 2 different toppings. How many different pizzas can the customer order?

 

Option: 1

365


Option: 2

555


Option: 3

425


Option: 4

375


Answers (1)

best_answer

To calculate the number of different pizzas the customer can order, taking into account the conditions, we can consider the following cases:

Selecting 2 different toppings:

The number of ways to select 2 toppings out of 10 is given by \mathrm{C(10,2)=45.}

Selecting 3 different toppings:

The number of ways to select 3 toppings out of 10 is given by \mathrm{C(10,3)=120.}

Selecting 4 different toppings:

The number of ways to select 4 toppings out of 10 is given by \mathrm{C(10,4)=210.}

Therefore, the total number of different pizzas the customer can order is:

\mathrm{ 45+120+210=375 . }

Therefore, the customer can order 375 different pizzas, considering they must have at least 2 different toppings and can select up to 4 toppings.

Posted by

jitender.kumar

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