Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
KVPY2020MathematicsSets and Relations

Let A be a set consisting of 10 elements. The number of non-empty relations from A to A that are reflexive but not symmetric is

Options

  1. A2 89 - 1
  2. B2 89 - 2 45
  3. C2 45 - 1
  4. D2 90 - 2 45

Correct answer

D. 2 90 - 2 45

Step-by-step solution

n ( A × A ) = 100 number of a ,   a type pairs is 10 number of ( a , b ) and ( b , a ) type pair of pairs is 45 ( a ≠ b ) so, required number of relations is 2 90 - 2 45

Practice Sets and Relations on Quantrex Academy →

More from Sets and Relations

Let A and B be two subsets of = 1, 2, 3, -------, 44, 45 such that A = x: x is divisible by 3 and 4 B = x: x is a perfect square number Then n(B - A) equals 2026Given the sets A = 1,2,3 ; B = 2,3,5 and C = 4,5,6 identify Which of the following statements is incorrect . 2026If A = x : x is the first three odd numbers B = 2x + 3 : 0 x true 2026The set expression A (B (A' B')) is equivalent to 2026Let C be the set of all the circles in a plane. If R = (C₁, C₂) C C C₁ and C₂ intersect , then which of the following statements is TRUE? 2026If A = a, b, c, d, e, f , then the number of subsets of A which contains at least 2 elements is 2026If A = 1, 2, 3, 4, , 10 , then the number of non-empty subsets of A containing only even number is 2026If n(A) = 2 and the number of relations from set A to set B is 1024 , then n(B) is 2026 Full Sets and Relations list All KVPY PYQs