MCQ practice · SSC Higher Mathematics Board questions · Chapter 10: Binomial Expansion
⁹C₂ = ?
Think it through first, then pick an option.
- a 36
- b 27
- c 18
- d 12
Answer and explanation
Correct answer: a 36
⁹C₂ = (9×8)/(1×2) = 36, so this is the value.
Why the other options are wrong
- b 27: 27 = 9 × 3; the formula uses the two factors 9 and 8. The right answer is 36.
- c 18: 18 = 9 × 2; the factor 8 in the numerator is missing. The right answer is 36.
- d 12: This value does not come out of the correct working: ⁹C₂ = (9×8)/(1×2) = 36, so the answer is 36.
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