If ^ n-1 C_ 3 + ^ n-1 C_ 4 > ^ n C_ 3 . then n is just greater than the integer

Mathematics · JEE Main · NTA ExamsPermutations and Combinations

If  \({ }^{n-1} C_{3}+{ }^{n-1} C_{4}>{ }^{n} C_{3} .\) then n is just greater than the integer
  1. 5
  2. 6
  3. 4
  4. 7

Answer

(D) 7

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