PRASHNIKAप्रश्निका

If set contains four elements and set contains five elements, then the number of one-one and onto…

Mathematics20261 markMCQ
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

AI
Written 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.
Relations and Functions

From ISC 2026 Mathematics Paper 1, question 1(ix).

See every question