Question

in a pizza restaurant, you get a basic pizza with two toppings: cheese and tomato. You can also make up your own pizza with extra toppings. You can choose from 4 different toppings ishan wants to order a pizza with 2 different extra toppings how many different combinations can ishan choose from?

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Answer 1

Answer:

6 combinations.

Step-by-step explanation:

Let the 4 different toppings be P,Q,R,S respectively.

therefore,

he can have :

(P,Q) (P,R) (P,S) (Q,R) (Q,S) (R,S)

Answer 2

The number of different combinations of toppings from which Ishan can choose is 6.

Given,

In a pizza restaurant, one can get a basic pizza with two toppings: cheese topping and tomato topping.

But also, one can make up the very own pizza with extra toppings.

There is a total of 4 different toppings.

Ishan wants to order a pizza with 2 different extra toppings.

To Find,

The number of different combinations of toppings from which Ishan can choose.

Solution,

We can solve this mathematical problem in the following method.

If one tries to choose "r" different things from "n" samples then there are total $C^{n} _{r}$ ways,

Here given that from a total of 4 different toppings Ishan wants to choose 2 different extra toppings.

So there can be total $C^{4} _{2}$ ways to choose 2 toppings from 4.

Means total of $\frac{4!}{2!.2!}$=$\frac{4.3.2.1}{2.2.1}$=6 ways.

Hence, The number of different combinations of toppings from which Ishan can choose is 6.

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