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6. Determine if the following functions are one-to-one, onto, or both. a. (5 pts) Define F:({a,b,c})Z as follows: for all A in ({a,b,c}), F(A)=A. Recall that ({a,b,c}) represents the power set of {a,b,c} b. (5 pts) Let S be the set of strings of 0 's and 1's. Define N:SZ as follows: for all s in S,N(s)= the number of 1 's in s