JEE Mains · Maths · STD 12 - 1. relation and function
The number of relations, defined on the set {a, b, c, d}, which are both reflexive and symmetric, is equal to:
- A 256
- B 16
- C 1024
- D 64
Answer & Solution
Correct Answer
(D) 64
Step-by-step Solution
Detailed explanation
Number of relation which are reflex. and sym. both \( =1^{4}\times2^{6}=64 \) (a, a)\(\quad\)(a, b)\(\quad\)(a, c)\(\quad\)(a, d) (b, a)\(\quad\)(b, b)\(\quad\)(b, c)\(\quad\)(b, d) (c, a)\(\quad\)(c, b)\(\quad\)(c, c)\(\quad\)(c, d) (d, a)\(\quad\)(d, b)\(\quad\)(d,…
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