Determine how many one to one correspondences are possible between two sets {p,y,z,w,v} and {1,2,3,4,5}, given the following conditions.
a. If in each correspondence p must match with 1.
b. If in each correspondence p must match with 1 and y must match with 5.
c. If in each correspondence p, y, and z must match with an odd number.
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a. There are ___ possible one to one correspondences between the sets if p must match with 1.
b. There are ___ possible one to one correspondences between the sets if p must match with 1 and y must match with 5.
c. There are ___ possible one to one correspondences between the sets if p, y and z must match with an odd number.