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Class 12MathematicsRelations and FunctionsFunctionsExpert
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If (A) has (3) elements and (B) has (3) elements, how many bijective functions are possible from (A) to (B)?

Answer and explanation

Correct answer: (6)

Step 1: For finite sets with equal size, a bijection is like a permutation. Step 2: There are (3!) ways to assign (3) distinct images. Step 3: Since (3!=6), there are (6) bijective functions.

Related tags

FunctionsBijectionCountingPermutationRelations And FunctionsMathematicsClass 12 Mcq
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10 more MCQs
  1. 1If (f:A\to B) is a function, what condition is necessary for every element of (A)?
  2. 2If (f(x)=2x+3), what is the value of (f(4))?
  3. 3In a function (f:A\to B), what is (A) called?
  4. 4In a function (f:A\to B), what is (B) called?
  5. 5If (f={(1,2),(2,4),(3,6)}), what is the domain of (f)?
  6. 6If (f={(1,2),(2,4),(3,6)}), what is the range of (f)?
  7. 7Which of the following relations from (A={1,2}) to (B={3,4}) is a function?
  8. 8If (f(x)=x^2) and the domain is ({-2,-1,0,1,2}), what is the range?
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  10. 10If f(x) = 3x − 1, what is the value of f(2) + f(0)?
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