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JEE Main 2015 Mathematics question

MathematicsPermutations and CombinationsJEE Main 2015

Let and be two sets containing seven and three distinct elements respectively. Then the total number of functions that are onto, if there exist exactly three elements in A such that , is equal to:

Answer: (3)

Solution

Build the function in two stages. First choose which three of the seven elements of A are sent to : this can be done in ways. The remaining four elements must then be mapped into the two-element set , and for the whole function to

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Question ID VK-115377