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A girl has to make pizza with different toppings. There are 8 different toppings. In how many ways can she make pizzas with 2 different toppings?

A girl has to make pizza with different toppings. There are 8 different toppings. In how many ways can she make pizzas with 2 different toppings? Correct Answer 56

The girl has to use any two toppings out of 8 available toppings.

Number of ways of selecting r objects from n objects = ncr

Number of ways to select 2 out of 8 = 8c2 = 8!/(2! × 6!) = 28

Number of ways to arrange two different toppings after selection = 8C2 × 2!= 28 × 2! = 56

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