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It is given that A and B are two sets of...

It is given that A and B are two sets of real numbers `A={a_1,a_2,a_3 ,...,a_100} and B={b_1,b_2 ...b_50}`. If `f: A -> B` is such that every element in B has an inverse image and `f(a_1)leq f(a_2) leq......leq f(a_100)`,then the number of such mapping is :

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