Choose 4 Fruits From 9

Decision guide

Why this formula fits

This is a plain combination problem because order does not matter and each fruit can be used once.

Does order matter? Order does not matter. A bowl containing apple, pear, mango, and orange is the same bowl regardless of listing order.

Is repetition allowed? Repetition is not allowed because the question says the bowl contains 4 different fruits.

Worked solution

9 choose 4 without repeats is 126.

1. Inputs: n = 9, r = 4
2. Formula: C(n, r) = n! / (r!(n-r)!)
3. Substitute: C(9, 4) = 9! / (4!(9-4)!)
4. Steps: 362,880 / (24 x 120)
5. Result: 9 choose 4 without repeats is 126.