If set contains four elements and set contains five elements, then the number of one-one and onto…
If set $A$ contains four elements and set $B$ contains five elements, then the number of one-one and onto mapping from $A \to B$ is:
- a120
- b0
- c720
- d20
Answer
Answer
AIWritten by AI (gemini-2.5-pro) - it can contain mistakes.
Correct option: b
Answer: (b) 0
A function from set $A$ to set $B$ can be both one-one and onto (bijective) only if the two sets have the same number of elements. Since $n(A) = 4$ and $n(B) = 5$, no mapping can be onto, so the number of one-one and onto mappings is 0.
From ISC 2026 Mathematics Paper 1, question 1(ix).