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Class 12MathematicsRelations and FunctionsOne-one functionExpert
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If (|A|=6) and (|B|=4), what is the number of one-one functions from (A) to (B)?

Answer and explanation

Correct answer: (0)

Step 1: A one-one function needs a distinct codomain element for each distinct domain element. Step 2: Here the domain has (6) elements but the codomain has only (4). Step 3: When the domain has more elements, a one-one function is impossible.

Related tags

Finite SetsPigeonhole PrincipleInjective FunctionClass 12One One FunctionRelations And FunctionsMathematicsClass 12 Mcq
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10 more MCQs
  1. 1Which statement is true for a one-one function?
  2. 2If (f(2)=5) and (f(3)=5), what can be said about (f)?
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  5. 5If (f:\mathbb{R}\to[0,\infty)) and (f(x)=|x|), what type of function is (f)?
  6. 6If (f:\mathbb{R}\to(0,\infty)) and (f(x)=e^x), what type of function is (f)?
  7. 7If (f:(0,\infty)\to\mathbb{R}) and (f(x)=\log x), which statement about (f) is correct?
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  9. 9Which example proves that (f(x)=x^2+1) is not one-one on real numbers?
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