Juan is making a fruit salad. He has grapes, watermelon, apples, pineapple, bananas, mangoes, honeydew, and cantaloupe. He wants
1 answer:
The number of ways that he can make the fruit salad if it must contain watermelon is 35.
<h3>What is Permutation and combination?</h3>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.
The salad contains water melon, now we have to select 4 more fruits out of 7.
Using combination
= n! / r! (n-r)!
= 7!/ 4! (7-4)!
= 7*6*5*4! / 4! * 3*2
= 35
Hence, number of ways that he can make the fruit salad if it must contain watermelon is 35.
Learn more about Permutation and combination here:
#SPJ1
You might be interested in
the question in English
Nutritionists recommend that a person should drink an average of 2.5 liters of water in a day, to be well hydrated. How many liters of water should a person drink in a month to comply with a good hydration (Consider a month equal to 30 days) Formulate an algebraic expression to determine the total liters of water that a person should drink a given number of days.
Let
x-------> the number of days
y------> the total liters of water
we know that
------> algebraic expression to determine the total liters of water that a person should drink a given number of days
For x=30 days (1 month)
substitute in the formula
therefore
<u>the answer is</u>