Question

Juan is making a fruit salad. He has grapes, watermelon, apples, pineapple, bananas, mangoes, honeydew, and cantaloupe. He wants his fruit salad to contain five different fruits. How many ways can he make the fruit salad if it must contain watermelon?

Answer 1

Correct answer for E2020 users is 35

Answer 2

Answer:

35

Step-by-step explanation:

Juan is making a fruit salad.

He has grapes, watermelon, apples, pineapple, bananas, mangoes, honeydew, and cantaloupe.

He wants his fruit salad to contain five different fruits.

How many ways can he make the fruit salad if it must contain watermelon?

The salad contains water melon,now we have to select 4 more fruits out of 7.

This we can do by using combination.

The formula for $n_{C_{r} } =\dfrac{factorial n}{factorialr\times factorial(n-r)}$

$7_{C_{4} } =\dfrac{factorial 7}{factorial4\times factorial(3)}$

                      = 35

number of ways that he can make the fruit salad if it must contain watermelon is:

 35