The total number of ways in which n 2 number of identical balls can be put in n numbered…

Mathematics · JEE Main · NTA ExamsPermutations and Combinations

The total number of ways in which n2 number of identical balls can be put in n numbered boxed (1, 2, 3, ......... n) such that ith box contains at least i number of balls, is :
  1. \(\mathrm{n}^{2} \mathrm{C}_{\mathrm{n}-1}\)
  2. \(n^{2}-1 C_{n-1}\)
  3. \(\frac{n^{2}+n-2}{2} C_{n-1}\)
  4. None of these

Answer

(C) n^ 2 +n-2 2 C_ n-1

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