Mathematics · Relations and Functions
Match the items in List-I with the correct values in List-II: List–I (A) Let R be a relation on set A = {1, 2, 3, 4} defined by R = {(a, b) ∈ A × A : a + b is even}. The number of elements in R is (B) The number of symmetric relations on a set with 3 elements is (C) Let f : R → R be defined by f(x) = x3 - x. Then the number of distinct real solutions of the equation f(f(x)) = 0 is (D) The number of bijective functions from a set with 3 elements to itself is List–II (p) 64 (q) 8 (r) 6 (s) 5 (t) 32
- 1A → t, B → r, C → q, D → s
- 2A → q, B → p, C → s, D → r✓
- 3A → t, B → s, C → r, D → q
- 4A → p, B → q, C → r, D → s
Correct answer
A → q, B → p, C → s, D → r
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