List all the functions from ab to cde heres a start on that

Question

Question: 1. List all the functions from {a,b} to {c,d,e}. Here's a start on that list:

f₁(a) = c, f₁(b) = d

f₂(a) = d, f₂(b) = d

How many functions are in your list?

2. How many functions are there from {a,b,c} to {d,e}? Try to complete this computation by reasoning rather than by listing.