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 [tex]n_{C_{r} } =\dfrac{factorial n}{factorialr\times factorial(n-r)}[/tex]
[tex]7_{C_{4} } =\dfrac{factorial 7}{factorial4\times factorial(3)}[/tex]
= 35
number of ways that he can make the fruit salad if it must contain watermelon is:
35
The ways can he make the fruit salad if it must contain watermelon will be 35. The selection of the one object from the given samples with replacement or without replacement is called as the permutation
Selection of the one object from the given samples with replacement or without replacement is called as the permutation. The selection of the items from the sample as they are different with each other.
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 the combination will be
[tex]\rm nC_r=\dfrac{Factorian}{factorian\times factorian(n-r)}[/tex]
[tex]\rm 7C_4=\dfrac{Factorian7}{factorian4\times factorian(3)}=35[/tex]
Hence number of ways that he can make the fruit salad if it must contain watermelon is 35
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