Let A be a set with 3 elements and B a set with 5 elements. The number of one-one functions from A to B is
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 60
In a one-one function, different elements of A must get different images in B.
The first element of A can go to any of the 5 elements of B, the second to any of the remaining 4, and the third to any of the remaining 3:
\(5 \times 4 \times 3 = 60\)