Ques. Let A and B be two sets containing 2 elements and 4 elements respectively. The number of subset of A x B having 3 or more elements is A) 256 B) 220 C) 219 D) 211 Share with your friends Share 0 Neha Sethi answered this Dear student We have,nA=2nB=4The number of subsets of A×B is=28=256So, the number of subset which contain 0,1 and 2 elements are :=1 null set+8 singleton set +8C2 having 2 elements =1+8+28=37The number of subsets of A×B having 3 or more elements is=256-37=219Note:1)A set having n elements has 2n subsets.2) nCr=n!r!n-r! Regards 0 View Full Answer अर्कज .. answered this 1q 0
