JEE Mathematics · Easy

Permutations and Combinations: Permutation formula MCQ

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

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Permutation formulaEasyQuestion 290002

Question

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

Correct answer

n!/(n−r)!

Explanation

ⁿPᵣ = n!/(n−r)! = n(n−1)(n−2)...(n−r+1). It counts ordered selections of r items from n distinct items.