Given a set of elements {a,b,c,d} ,then find the total no. of binary operations that can be defined on x ?
Follow Math Help Forum on Facebook and Google+
Originally Posted by nikhilbhr Given a set of elements {a,b,c,d} ,then find the total no. of binary operations that can be defined on x ? This is asking for the number of mappings from D={a,b,c,d}x{a,b,c,d} into R={a,b,c,d}. Well there are 16 elements in D, and each can be mapped to any of the 4 elements of R. CB
In this way answer to this question is 4^16 ..But in the book answer to this question was 2^16 ...Please tell me which one is right.. Thanx for help
Originally Posted by nikhilbhr In this way answer to this question is 4^16 ..But in the book answer to this question was 2^16 ...Please tell me which one is right. That is almost certainly a typo in the solution manual.