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Class 12MathematicsRelations and FunctionsOne-one functionExpert
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If (A) has (6) elements and (B) has (8) elements, what is the number of one-one functions from (A) to (B)?

Answer and explanation

Correct answer: \(^{8}P_6\) / (^{8}P_6)

Step 1: In a one-one function, the (6) elements of the domain must be sent to (6) distinct elements of the (8)-element codomain. Step 2: The total number is (8\cdot7\cdot6\cdot5\cdot4\cdot3=,^{8}P_6). Step 3: For one-one functions, select ordered distinct images from the codomain.

Related tags

Counting InjectionsFinite SetsPermutationOne-OneOne 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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  9. 9Which example proves that (f(x)=x^2+1) is not one-one on real numbers?
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