Find the number of reflexive relations defined on a set with 3 elements.

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Solution

Dear Student,

$T h e n u m b e r o f r e f l e x i v e r e l a t i o n s d e f i n e d o n a s e t w i t h n e l e m e n t s = 2^{n^{2} - n} T h e n u m b e r o f r e f l e x i v e r e l a t i o n s d e f i n e d o n a s e t w i t h 3 e l e m e n t s = 2^{3^{2} - 3} = 2^{9 - 3} = 2^{6} = 64$

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