Combinations
The value of C(10, 3) is
Select the correct option:
Solution
120
- Combination Formula: C(n,r)=(rn)=r!(n−r)!n!.
- Identify Variables: n=10,r=3.
- Setup Fraction:
- 3!×7!10!=3×2×1×7!10×9×8×7!
- Simplify:
- 610×9×8=6720=120.
- Result: 120 selections.
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About This Question
- Subject
- mathematics
- Chapter
- permutations and combinations
- Topic
- combinations
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
120
- Combination Formula: C(n,r)=(rn)=r!(n−r)!n!.
- Identify Variables: n=10,r=3.
- Setup Fraction:
- 3!×7!10!=3×2×1×7!10×9×8×7!
- Simplify:
- 610×9×8=6720=120.
- Result: 120 selections.
This easy difficulty mathematics question is from the chapter permutations and combinations, covering the topic of combinations. It appeared in the 2025 exam.
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