How many functions are there form the set {A, B, C, D} to the set {1, 2, 3}?Select one:a.43b.0c.None of the othersd.34e.12

Question

How many functions are there form the set {A, B, C, D} to the set {1, 2, 3}?Select one:a.43b.0c.None of the othersd.34e.12
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Solution 1

The number of functions from a set with m elements to a set with n elements is n^m.

In this case, we have a set with 4 elements {A, B, C, D} and a set with 3 elements {1, 2, 3}.

So, the number of functions from {A, B, C, D} to {1, 2, 3} is 3^4 = 81.

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