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Subjects
Class 12MathematicsRelations and FunctionsOne-one functionHard
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If (A) has (4) elements and (B) has (3) elements, what is the correct statement about the possibility of a one-one function from (A) to (B)?

Answer and explanation

Correct answer: Such a one-one function is not possible

Step 1: A one-one function needs distinct images in (B) for distinct elements of (A). Step 2: (A) has (4) elements but (B) has only (3) elements. Step 3: If the domain is larger than the codomain, a one-one function may be impossible.

Related tags

Finite SetsPigeonhole PrincipleOne-One FunctionClass 12One One FunctionRelations And FunctionsMathematicsClass 12 Mcq
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  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)?
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  8. 8If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=3x-5), what follows from (f(a)=f(b))?
  9. 9Which example proves that (f(x)=x^2+1) is not one-one on real numbers?
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