Functions - One-to-One Mappings
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Let A = {a, b, c, d} and the set B = { 1, 2, 3}
(a) How many functions are there from the set A to the set B. Explain.
(b) How many 1-to-1 functions are there from the set A to the set B. Explain
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A function is an operator that matches one element of the domain (set A) to *at most* one element in the range (set B).
It cannot match one element in A to several element in B (think of the square root as an example for such not function, as it matches one number from the domain to its positive and negative roots).
However, a general function can match several elements in the domain A to the same element in the range ...
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