When making a fruit salad, a chef chooses 4 fruits from 8 that are in season. how many different fruit salads can the chef create? a 40,320 b 70 c 1680 d 10,080?

The answer is c. You do:
8•7•6•5
There are 8 fruits that you can choose from and every one of them can go with 7 different fruits which can go with 6 different fruits which can go with 5 different fruits.
You do that thing four times because you said that he can choose 4 fruits.

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shubhamsinha3013 shubhamsinha3013 · Answer 2 · 2022-05-24T16:03:56+02:00

The chef creates 70 different fruit salads with 4 fruits from 8.

Combination

A combination in mathematics is a selection of elements from a set with distinct members where the order of selection is irrelevant.

[tex]{ }^{n} C_{r}=\frac{n !}{r !(n-r) !}[/tex] where, n is total number of objects in the set and r is number of choosing objects from the set

How to find the different combinations?

The total number of fruits the chef has is 8.

The total number of fruits the chef chooses is 4 then, the number of total combinations is [tex]{ }^{8} C_{4}[/tex].

So,

[tex]{ }^{8} C_{4}=\dfrac{8 !}{4 !(8-4) !}\\=\dfrac{8 !}{4 !(4) !}\\=\dfrac{40320}{24(24)}\\=\dfrac{40320}{576}\\=70[/tex]

Hence, the total combination to make 4 fruits salads from 8 fruits is 70.

Learn more about combination here- https://brainly.com/question/12629775

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