NEST2020MathematicsSets and Relations
Let T be a set of n elements. It is defined that - a relation R on T is symmetric if (a, b) R then (b, a) R for a, b T ; - a relation R on T is antisymmetric if (a, b),(b, a) R then a=b for a, b T . Let S and A be the set of all symmetric and antisymmetric relations on T respectively. Then
Options
- AS A =
- B| S A |=2^n
- C| S |=| A |
- DS A =T T
Correct answer
B. | S A |=2^n
Step-by-step solution
No solution available.
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 NEST PYQs