Question: How many functions are there from the set {1, 2, . . . , n}, where n is a positive integer, to the set {0,

How many functions are there from the set {1, 2, . . . , n}, where n is a positive integer, to the set {0, 1}
a) That are one-to-one?
b) That assign 0 to both 1 and n?
c) That assign 1 to exactly one of the positive integers less than n?

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a There can clearly be no onetoone function from 1 2 n to 0 1 if n 2 If n 1 then there are 2 such fu... View full answer

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