A salad at a certain restaurant consists of 4 of the following fruits: apple, banana, guava, pomegranate, grapes, papaya and pineapple. Find the total possible number of fruit salads.
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Given:
A salad at a certain restaurant consists of 4 of the following fruits: apple, banana, guava, pomegranate, grapes, papaya and pineapple.
To find:
Find the total possible number of fruit salads
Solution:
From the given information, we have the data as follows.
A salad at a certain restaurant consists of 4 of the following fruits: apple, banana, guava, pomegranate, grapes, papaya and pineapple.
The total number of fruits are 7.
We need to prepare a salad of 4 fruits out of 7 fruits available.
The total possible number of fruit salads is calculated as follows.
⁷C₄ = 7! / [4! × (7 - 4)!]
⁷C₄ = 7! / [4! × 3!]
⁷C₄ = 35
Therefore, the total possible number of fruit salads is 35.
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