MCQ practice · SSC Higher Mathematics Board questions · Chapter 10: Binomial Expansion
If ⁿC₃ = ⁿC₄, what is the value of n?
Think it through first, then pick an option.
- a 6
- b 7
- c 9
- d 12
Answer and explanation
Correct answer: b 7
ⁿCₐ = ⁿC_b gives n = a + b: n = 3 + 4 = 7, so this is the value.
Why the other options are wrong
- a 6: 6 comes from 4 + 3 − 1; the rule is n = 3 + 4. The right answer is 7.
- c 9: 9 comes from 3 × 3; the rule is addition. The right answer is 7.
- d 12: 12 = 3 × 4, a product; the rule is addition. The right answer is 7.
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