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Suppose A_1,A_2,\ldots,A_30 are 30 sets each with five elements and B_1,B_2,B_3,\ldots,B_n are n sets (each with three elements) such that \bigcup ^30_i=1A_i=\bigcup ^n_j=1B_i=S\, and each element of S belongs to exactly ten of the A_i's and exactly 9 of the B^\prime_j's. Then n= | Watch the step-by-step video solution for this NIMCET PYQ.