# If f:$A \to B$ is a bijective function and if n(A) = 5, then n(B) is equal to

(A). 10

(B). 4

(C). 5

(D). 25.

Answer

Verified

204.3k+ views

**Hint:**Before attempting this question, one should have prior knowledge about the bijective functions and also remember functions which are one-one and onto are bijective functions, use this information to approach the solution of the question.

__Complete step-by-step answer__:According to the given information we have a function f:$A \to B$ is a bijective function where n(A) = 5

Before approach towards the solution of the problem let’s discuss about the bijective functions

The functions which are both one-one and onto functions are named bijective functions

Therefore, elements belong to set B is an image of function f

Also, we know that when function is one-one than each element belongs to that function have different image

Which means the numbers of elements belong to set B is equal to the numbers present in set A

Therefore, n(B) is equal to n(B)

So, n(B) = 5 since n(A) = 5

**Hence, option C is the correct answer.**

**Note**: In the above solution we came across the term “function” which can be explained as relation between the provided inputs and the outputs of the given inputs such that each input is directly related to the one output. The representation of a function is given by supposing if there is a function “f” that belongs from X to Y then the function is represented by $f:X \to Y$examples of function are one-one functions, onto functions, bijective functions, trigonometric function, binary function, etc.

Recently Updated Pages

The sum of 1 + dfrac25 + dfrac352 + dfrac453 + up to class 11 maths CBSE

If a2 + b2 1 then dfrac1 + b + ia1 + b ia is equal class 11 maths CBSE

A bag contains a white and b black balls Two players class 11 maths CBSE

The chance of India winning the toss is dfrac34 If class 11 maths CBSE

To fill 12 vacancies there are 25 candidates of which class 11 maths CBSE

The line xc cuts the triangle with corners left 00 class 11 maths CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Write the 6 fundamental rights of India and explain in detail

Write a letter to the principal requesting him to grant class 10 english CBSE

List out three methods of soil conservation

Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE

Write a letter to the Principal of your school to plead class 10 english CBSE