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Set A has 3 elements and set B has 4 elements then number of injections defined from A to B are?

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Set A has 3 elements and set B has 4 elements then number of injections defined from A to B are?

(a) 12

(b) 24

(c) 36

(d) 48

I have been asked this question during an interview.

Enquiry is from Number of Functions in section Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

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Best answer
Right option is (b) 24

To explain: Injections will be ^4C3 x 3!=24.

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