Let A = {1,2,3, 4} and B= {x, y, z, w, v}. Let A¡ = {3} and let h : Aj → B be the function defined by h(3) = W. a. How many extensions of h to A are there? b. How many extensions of h to A are one-to-one? c. How many extensions of h to A are onto? Do not simplify any binomial coefficients, exponents, or factorials.

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