Thread: Total no. of Binary operation

Given a set of elements {a,b,c,d} ,then find the total no. of binary operations that can be defined on x ?

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.