JEE Main 2017

JEE Main 2017 Mathematics question on Permutations and Combinations

Let S={1,2,3,…,9}S = \{1, 2, 3, \ldots, 9\}. For k=1,2,…,5k = 1, 2, \ldots, 5, let NkN_k be the number of subsets of SS, each containing five elements out of which exactly kk are odd. Then N1+N2+N3+N4+N5=N_1 + N_2 + N_3 + N_4 + N_5 =
  1. A.
    210
  2. B.
    252
  3. C.
    126
  4. D.
    125
Show answer

Correct option: C

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