Question

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.

Answer 1

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.