Let P be the power set of {a, b, c}. A function f: P , the...

Question

Question

Let P be the power set of {a, b, c}. A function f: P $Let P be the power set of {a, b, c}. A function f:$ , the set of integers, follows:

For A in P, f(A) = the number of elements in A.

1. Is f one-to-one? Explain.

2. Is f onto? Explain.

engineering Computer-Science

Answer 1

Answer #1

(a (b fb, (a,b,c 1. Since there are elements like "1" & "2" in Z, which are the images of more than one element of P, thus f is not one-to-one.

2. Since all the elements of Z are not images of elements of P and there are some unused elements in Z, thus f is not onto.

Answer 2

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