Home
Class 12
MATHS
Let n(A) = n, then the number of all rel...

Let n(A) = n, then the number of all relations on A, is

A

`2^(n)`

B

`2^(n!)`

C

`2^(n^(2))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 3|10 Videos
  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|39 Videos
  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 1|11 Videos
  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise The Straight Lines Exercise 8 : (Questions Asked in Previous 13 years Exams)|1 Videos

Similar Questions

Explore conceptually related problems

If n(A) = 5 and n (B) = 7, then the number of relations on A*B is

Let A={1,\ 2,\ ,\ n} and B={a ,\ b} . Then the number of subjections from A into B is \ ^n P_2 (b) 2^n-2 (c) 2^n-1 (d) \ ^n C_2

Let n(P) = 4 and n(Q) = 5. The number of all possible injections from P to Q is :

Let a_(n) denote the number of all n-digit numbers formed by the digits 0,1 or both such that no consecutive digits in them are 0. Let b_(n) be the number of such n-digit integers ending with digit 1 and let c_(n) be the number of such n-digit integers ending with digit 0. Which of the following is correct ?

Let T_n be the number of all possible triangles formed by joining vertices of an n-sided regular polygon. If T_(n+1)-T_n=""10 , then the value of n is (1) 5 (2) 10 (3) 8 (4) 7

Let n(A)=5 and n(B)=3 then find the number of injective functions and onto functions from A to B

Prove, by Induction, that the number of all the subsets of a set containing n distinct elements, is 2^n .

Let n denote the number of all n-digit positive integers formed by the digits 0, 1 or both such that no consecutive digits in them are 0. Let b_n = the number of such n-digit integers ending with digit 1 and c_n = the number of such n-digit integers ending with digit 0. The value of b_6 , is