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? 21 35 56 70

Respuesta :

If the fruit salad must contain watermelon, he can make the fruit salad in 35 ways.

Answer:

The correct option is B. 35

Step-by-step explanation:

Juan is making a fruit salad. He has grapes, watermelon, apples, pineapple, bananas, mangoes, honeydew, and cantaloupe

Number of fruits in total available to make fruit salad = 8

Number of fruits needed to make fruit salad = 5

No. of choices available for 1st fruit , watermelon is must = 1

[tex]\text{Total number of ways = }\frac{7!}{3!\times 4!}=35[/tex]

Hence, In 35 ways he can make the fruit salad if it must contain watermelon

Therefore, The correct option is B. 35