0 votes 0 votes A and B are finite sets True or False 1) F:A-->B is one to one then F is Onto , where |A| = |B| 2) F:A-->A is one to one then F is Onto , where F is function on same set jatin khachane 1 asked Aug 19, 2018 jatin khachane 1 715 views answer comment Share Follow See all 6 Comments See all 6 6 Comments reply Show 3 previous comments aditi19 commented Aug 19, 2018 reply Follow Share 1 may not be true always as in case of one one mapping some elements in the co-domain might be unmapped. so in this case F won't be onto 0 votes 0 votes jatin khachane 1 commented Aug 19, 2018 reply Follow Share Its mentioned that |A| = |B| So how can some element remain unmapped if one to one mapping is there.. 0 votes 0 votes aditi19 commented Aug 19, 2018 reply Follow Share oh yes 1 will be true... i forgot to consider A and B are finite sets. yes for finite sets 1 will be true. for infinite it may be false 0 votes 0 votes Please log in or register to add a comment.
Best answer 2 votes 2 votes I think you know definition of one to one and onto, Rishav Kumar Singh answered Aug 19, 2018 selected Aug 19, 2018 by jatin khachane 1 Rishav Kumar Singh comment Share Follow See all 0 reply Please log in or register to add a comment.