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Solution


Q.

The number of relations, defined on the set {a, b, c, d}, which are both reflexive and symmetric, is equal to:        [2026]
1 64  
2 256  
3 16  
4 1024  

Ans.

(1)

Number of relation which are reply and sym. both =14×26=64

(a, a) (a, b) (a, c) (a, d)
(b, a) (b, b) (b, c) (b, d)
(c, a) (c, b) (c, c) (c, d)
(d, a) (d, b) (d, c) (d, d)