Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
KCET2026MathematicsSets and Relations

If A = a, b, c, d, e, f , then the number of subsets of A which contains at least 2 elements is

Options

  1. A64
  2. B65
  3. C57
  4. D59

Correct answer

C. 57

Step-by-step solution

Total number of elements in set A is n = 6 . Total number of subsets of A is 2^6 = 64 . Number of subsets containing 0 elements is ⁶C₀ = 1 . Number of subsets containing 1 element is ⁶C₁ = 6 . Number of subsets containing at least 2 elements is equal to the total number of subsets minus the number of subsets with 0 or 1 element. Required number of subsets = 64 - (1 + 6) = 57 . Answer: 57

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 = 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 2026Let R be the relation in the set N given by R = (a, b) : a = b - 2, b > 6 . Which of the following is the correct answer? 2026 Full Sets and Relations list All KCET PYQs