Let S = {1,2,3,...,9}. For k=1,2,...,5, let... | Permutation & Combination | JEE Advance

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Let $\mathrm{S}=\{1,2,3, \ldots \ldots 9\}$. For $\mathrm{k}=1,2, \ldots \ldots, 5$, let $\mathrm{N}_{\mathrm{k}}$ be the number of subsets of S , each containing five elements out of which exactly $k$ are odd. Then $N_1+N_2+N_3+N_4+N_5=$

Select the correct option:

A

126

B

252

C

210

D

125

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