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JEE MATHEMATICS MCQ: PERMUTATIONS

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Application +4 | -1
The number of functions ff from the set A={0,1,2}A=\{0,1,2\} into the set B={0,1,2,3,4,5,6,7}B=\{0,1,2,3,4,5,6,7\} such that f(i)≤f(j)f(i) \leq f(j) for i<ji < j and i,j∈Ai, j \in A, is
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Correct option: C
10C3{ }^{10} C_3
Option C (10C3{ }^{10} C_3) is correct because it accurately represents the number of non-decreasing functions from A to B using combinations with repetition.

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