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JEE MATHEMATICS MCQ: PERMUTATIONS

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Application +4 | -1
The number of maps (functions) from the set A={1,2,3}A=\{1,2,3\} into the set B={1,2,3,4,5,6,7}B=\{1,2,3,4,5,6,7\} such that f(i)≤f(j)f(i) \leq f(j) whenever i<ji < j, is
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Correct option: A
84
Option A (84) is correct because it accurately calculates the number of non-decreasing functions from A to B by considering combinations with repetition.

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