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JEE Advanced 2017 Mathematics question

MathematicsPermutations and CombinationsJEE Advanced 2017

Let . For , let be the number of subsets of , each containing five elements out of which exactly are odd. Then

Answer: (D)

Solution

S has 5 odd and 4 even numbers. Every 5-element subset must contain at least one odd

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Question ID VK-026687