Let A₁,A₂,....,A_m be m sets such that O(A_i)=p for all i=1,2,...,m and B₁,B₂,..,B_n be n sets such that O(B_j )=q for all j=1,2,..,n. If U^m_i=1 A_i=Uⁿ_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

Poulami , 7 Years ago

Grade 11