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Let A 1 ,A 2 ,....,A m be m sets such that O(A i )=p for all i=1,2,...,m and B 1 ,B 2 ,..,B n be n sets such that O(B j )=q for all j=1,2,..,n. If U m i=1 A i =U n j=1 B j =S and each element of S belongs to exactly a number of A i ’s and b number of B j ‘s, then (1)pm=nq (2)apm=bnq (3)bpm=anq (4)(pm) b =(nq) a

Let A1,A2,....,Am be m sets such that O(Ai)=p for all i=1,2,...,m and B1,B2,..,Bn be n  sets such that O(Bj )=q for all j=1,2,..,n. If Umi=1   Ai=Unj=1 Bj=S and each element of S belongs to exactly a number of Ai ’s and b number of Bj ‘s, then
(1)pm=nq
(2)apm=bnq
(3)bpm=anq
(4)(pm)b =(nq)a

Grade:11

1 Answers

Arun
25750 Points
3 years ago
Dear Student ,
The way to solve these question in less time is :-
1)Find and assume an example which satisfy given condition .
2)Than check each option by putting values required .
hence answer is option C

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