The number of one-to-one functions from an 7-element set to itself isa. 64.00b. 128.00c. 7!d. None of the option is correcte. 2187.00
Question
The number of one-to-one functions from an 7-element set to itself isa. 64.00b. 128.00c. 7!d. None of the option is correcte. 2187.00
Solution
The number of one-to-one functions (also known as bijections) from a set to itself is given by the factorial of the number of elements in the set. This is because for each element in the set, there is a unique element in the set that it can map to.
For a set with 7 elements, the number of one-to-one functions is 7!, which is 5040.
So, the correct answer is c. 7!.
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