Maths-
General
Easy
Question
The number of one one onto functions that can be defined from A={a,b,c,d} into B={1,2,3,4} is
- 12
- 24
- 18
- 26
Hint:
Use the cardinality of two sets to find the number of one-one functions between them.
The correct answer is: 24
STEP BY STEP SOLUTION
Number of one-one functions = ![scriptbase P subscript m space end subscript space i f space n greater or equal than m end scriptbase presuperscript n](data:image/png;base64,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)
Number of one-one functions = 0 if ![n less than m](data:image/png;base64,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)
As we know the given set A & B is
A =
and B = ![open curly brackets 1 comma 2 comma 3 comma 4 close curly brackets](data:image/png;base64,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)
Here cardinality of A =![open vertical bar A close vertical bar space equals 4](data:image/png;base64,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)
Cardinality of B =![open vertical bar B close vertical bar space equals 4](data:image/png;base64,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)
Number of one-one functions = ![scriptbase P subscript m space end subscript space i f space n greater or equal than m end scriptbase presuperscript n](data:image/png;base64,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)
We can see that n=m
So, the number of one-one functions = ![scriptbase P subscript 4 end scriptbase presuperscript 4](data:image/png;base64,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)
By using the formula,
![scriptbase P subscript m space end subscript space equals end scriptbase presuperscript n](data:image/png;base64,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)
![fraction numerator n factorial over denominator left parenthesis n minus m right parenthesis factorial end fraction](data:image/png;base64,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)
![scriptbase P subscript 4 space equals fraction numerator 4 factorial over denominator left parenthesis 4 minus 4 right parenthesis factorial end fraction end scriptbase presuperscript 4](data:image/png;base64,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)
The total number of one-one functions = 24
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Maths-
If
defined by ![f left parenthesis x right parenthesis equals fraction numerator 1 over denominator x squared plus 1 end fraction comma text then end text f text is end text](data:image/png;base64,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)
If
defined by ![f left parenthesis x right parenthesis equals fraction numerator 1 over denominator x squared plus 1 end fraction comma text then end text f text is end text](data:image/png;base64,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)
Maths-General
physics
An ant goes from P to Q on a circular path in 20 second Radius OP=10 m . What is the average speed and average velocity of it ?
![](data:image/png;base64,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)
An ant goes from P to Q on a circular path in 20 second Radius OP=10 m . What is the average speed and average velocity of it ?
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)
physicsGeneral
Maths-
Which of the following functions is not injective?
Which of the following functions is not injective?
Maths-General
physics
The graph of position
time shown in the figure for a particle is not possible because ....
![](data:image/png;base64,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)
The graph of position
time shown in the figure for a particle is not possible because ....
![](data:image/png;base64,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)
physicsGeneral
physics-
Curie-Weiss law is obeyed by iron
Curie-Weiss law is obeyed by iron
physics-General
physics-
If the
curves of two samples of P and Q of iron are as shown below, then which one of the following statements is correct?
![](data:image/png;base64,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)
If the
curves of two samples of P and Q of iron are as shown below, then which one of the following statements is correct?
![](data:image/png;base64,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)
physics-General
physics-
Among the following properties describing diamagnetism identify the property that is wrongly stated
Among the following properties describing diamagnetism identify the property that is wrongly stated
physics-General
physics-
Permanent magnet has properties retentivity and coercivity respectively
Permanent magnet has properties retentivity and coercivity respectively
physics-General
physics-
The magnetic susceptibility of a paramagnetic substance at
C is 0.0060, then its value at
C will be
The magnetic susceptibility of a paramagnetic substance at
C is 0.0060, then its value at
C will be
physics-General
physics-
If a magnetic substance is kept in a magnetic field then which of the following substance is thrown out?
If a magnetic substance is kept in a magnetic field then which of the following substance is thrown out?
physics-General
physics-
Curie temperature is the one above which
Curie temperature is the one above which
physics-General
physics-
Which of the following is represented by the area enclosed by a hysteresis loop (B-H curve)?
Which of the following is represented by the area enclosed by a hysteresis loop (B-H curve)?
physics-General
physics-
For a paramagnetic material, the dependence of the magnetic susceptibility X on the absolute temperature is given as
For a paramagnetic material, the dependence of the magnetic susceptibility X on the absolute temperature is given as
physics-General
physics-
Susceptibility of ferromagnetic substance is
Susceptibility of ferromagnetic substance is
physics-General