Answer to Question #4367 in Algebra for brenda

Question

determine how many one-to-one corespondences are possible between two sets, {m,t,z,w,v} and {1,2,3,4,5}, given the following -there are _possible one-to-one correspondences between the sets if m must match with 2 and t must match with 5.

Answer 1

If m must match with 2 and t must match with 5, then we need to count how many one-to-one corespondences are possible between the sets {z,w,v} and {1,3,4}. There are 3! = 6 such mappings.