KCET2025MathematicsSets and Relations

Let A= a, b, c , then the number of equivalence relations on A containing (b, c) is

Options

Correct answer

C. 2

Step-by-step solution

aligned A & = a , ~b , c R & = ( b , c ),( a , a ),( b , ~b ),( c , c ),( c , ~b ) R & = ( a , a )( b , ~b )( c , c )( a , ~b )( b , a )( a , c )( c , a )( b , c )( c , ~b ) aligned Total (2) equivalence relations possible

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