Suppose a_1,A_2 , ... , A_{30} are thirty sets each having 5 elements and B_1,B_2 , ... , B_n are n sets eachwith 3 elements. Let \cup^{30}_{i=1}A_i = \cup^{n}_{j=1} = S and each element of S belongs to exactly 10 of the A_i 'S and exactly 9 of the B_j 'S. Then n is equal to

JEE Mains Model Paper 13

Question : 55 of 90

Marks: +1, -0

Suppose a1,A2 , ... , A30 are thirty sets each having 5 elements and B1,B2 , ... , Bn are n sets eachwith 3 elements. Let

∪

i=1

Ai =

∪

j=1

= S and each element of S belongs to exactly 10 of the Ai 'S and exactly 9 of the Bj 'S. Then n is equal to

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