Question: In how many ways can you choose 3 fruits from a basket of 10 different fruits?
Options:
120
720
10
1200
Correct Answer: 120
Solution:
The number of combinations of 10 fruits taken 3 at a time is C(10, 3) = 10! / (3!(10-3)!) = 120.
In how many ways can you choose 3 fruits from a basket of 10 different fruits?
Practice Questions
Q1
In how many ways can you choose 3 fruits from a basket of 10 different fruits?
120
720
10
1200
Questions & Step-by-Step Solutions
In how many ways can you choose 3 fruits from a basket of 10 different fruits?
Combinations – The concept of combinations is used to determine the number of ways to choose a subset of items from a larger set, where the order of selection does not matter.
Factorial – Understanding factorial notation (n!) is essential for calculating combinations, as it represents the product of all positive integers up to n.
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