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. 43
- b. 0
- c. None of the others
- d. 34
- e. 12
Solution
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.
However, this option is not available in the choices given. So, the correct answer is c. None of the others.
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