Combinations

Easymathematics

The value of C(10, 3) is

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120

720

240

360

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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: $C (n, r) = (r n) = \frac{n !}{r ! ( n - r )!}$ .
Identify Variables: $n = 10, r = 3$ .
Setup Fraction:
- $\frac{10 !}{3 ! \times 7 !} = \frac{10 \times 9 \times 8 \times 7 !}{3 \times 2 \times 1 \times 7 !}$
Simplify:
- $\frac{10 \times 9 \times 8}{6} = \frac{720}{6} = 120$ .
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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