Maths-

General

Easy

Question

one-one and onto

onto but not one-one

one-one but not onto

neither one-one

one-one and onto

onto but not one-one

one-one but not onto

neither one-one

Hint:

### In this question, we have to find the type of function . A function is said to be one-one if different elements of A have different images in B, and a function is said to be onto if for all , there exists such that f (x) = y.

## The correct answer is: one-one and onto

### Related Questions to study

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Work done =

= 4

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Work done =

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III. The rubber band will get heated if it is stretched and released

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### The diagram shows a force-extension graph for a rubber band. Consider the following statements

I. It will be easier to compress this rubber than expand it

II. Rubber does not return to its original length after it is stretched

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Since for same material Young’s modulus is same,

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or

Since for same material Young’s modulus is same,

or

or

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STEP BY STEP SOLUTION

Number of one-one functions =

Number of one-one functions = 0 if

As we know the given set A & B is

A = and B =

Here cardinality of A =

Cardinality of B =

Number of one-one functions =

We can see that n=m

So, the number of one-one functions =

By using the formula,

The total number of one-one functions = 24

Number of one-one functions =

Number of one-one functions = 0 if

As we know the given set A & B is

A = and B =

Here cardinality of A =

Cardinality of B =

Number of one-one functions =

We can see that n=m

So, the number of one-one functions =

By using the formula,

The total number of one-one functions = 24

### The number of one one onto functions that can be defined from A={a,b,c,d} into B={1,2,3,4} is

Maths-General

STEP BY STEP SOLUTION

Number of one-one functions =

Number of one-one functions = 0 if

As we know the given set A & B is

A = and B =

Here cardinality of A =

Cardinality of B =

Number of one-one functions =

We can see that n=m

So, the number of one-one functions =

By using the formula,

The total number of one-one functions = 24

Number of one-one functions =

Number of one-one functions = 0 if

As we know the given set A & B is

A = and B =

Here cardinality of A =

Cardinality of B =

Number of one-one functions =

We can see that n=m

So, the number of one-one functions =

By using the formula,

The total number of one-one functions = 24

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3 vowels, 3 places ! remaining !

Total ! 4!

Total ! 4!

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3 vowels, 3 places ! remaining !

Total ! 4!

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Maths-General

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physicsGeneral

Maths-

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Iron is a ferromagnetic substance and ferromagnetic substance obeys Curie-Weiss law above its Curie temperature.

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Iron is a ferromagnetic substance and ferromagnetic substance obeys Curie-Weiss law above its Curie temperature.

physics-

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physics-General

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