JEE Mathematics · Easy

Permutations and Combinations: Combination formula MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Combination formulaEasyQuestion 290003

Question

ⁿCᵣ equals:
  1. A
    n!/(r!(n−r)!)
    Correct
  2. B
    n!/(n−r)!
  3. C
    r!/(n−r)!
  4. D
    n!/r!

Correct answer

n!/(r!(n−r)!)

Explanation

ⁿCᵣ = n!/(r!(n−r)!). It counts unordered selections (groups) of r items from n distinct items. ⁿCᵣ = ⁿPᵣ/r!.