2 votes 2 votes Consider the equivalence relation R induced by the partition P={{1},{3},{2,4,5,6}} of set A={1,2,3,4,5,6}. The number of ordered pairs in R is ____ Set Theory & Algebra test-series discrete-mathematics set-theory&algebra + – LRU asked Nov 22, 2021 LRU 425 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 7 votes 7 votes Answer = 1^2 +1^2 + 4^2 = 1+ 1+ 16 =18 Pairs for partition {1} = {1}x{1}={(1,1)}; Pairs for partition {3} = {3}x{3}={(3,3)}; Pairs for partition {2,4,5,6} = {2,4,5,6}x{2,4,5,6}={16 pairs}; The number of orderd pairs in R will be 18. raja11sep answered Nov 29, 2021 • selected Dec 27, 2021 by LRU raja11sep comment Share Follow See all 0 reply Please log in or register to add a comment.