1.

The maximum number of equivalence relations on the set `A = {phi , {phi}, {{phi}}}` areA. 1B. 2C. 3D. 5

Answer» Correct Answer - D
The maximum number …………
Possible equavalence relations A are as follows
`R_(1)= {(phi, phi), ({phi}, {phi}), ({{phi}}, {{phi}})}`
`R_(2)= R_(1)uu {(phi, {phi}), ({phi}, phi)}`
`R_(3)= R_(1)uu {(phi, {{phi}}), ({{phi}}, phi)}`
`R_(4)= R_(1)uu {({phi}, {{phi}}), {phi})}`
`R_(5)= AxxA` (universal relation)


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