JEE Main 2024 Mathematics question
If for some m, n: ⁶Cₘ + 2(⁶Cₘ₊₁) + ⁶Cₘ₊₂ > ⁸C₃ and ⁿ⁻¹P₃ : ⁿP₄ = 1 : 8, then ⁿ + ⁿ⁺¹Cₘ is equal to
Answer: (B)
Solution
⁶Cₘ + 2⁶Cₘ₊₁ + ⁶Cₘ₊₂ = ⁷Cₘ₊₁ + ⁷Cₘ₊₂ = ⁸Cₘ₊₂ > ⁸C₃, which gives m = 2 (the smallest m for which
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