JEE Mathematics · Easy

Permutations and Combinations: Mixed MCQ

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

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MixedEasyQuestion 290014

Question

The value of ⁷C₃ + ⁷C₄ is:
  1. A
    ⁸C₄
    Correct
  2. B
    ⁷C₃
  3. C
    ¹⁴C₃
  4. D
    ⁸C₃

Correct answer

⁸C₄

Explanation

Pascal's identity: ⁿCᵣ + ⁿCᵣ₊₁ = ⁿ⁺¹Cᵣ₊₁. So ⁷C₃ + ⁷C₄ = ⁸C₄ = 70.