Solution to Which one of the following relations represents the composition relation P ○ P (ie P; … - Sikademy
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Archangel Macsika

Which one of the following relations represents the composition relation P ○ P (ie P; P)? 1. {(a, {a, b}), (b, a), ({a, b}, a), ({b}, {a}), (a, {a})} 2. {(a, {a, b}), (b, a), ({a, b}, a), ({b}, {a})} 3. {(a, {a, b}), (b, a), ({a, b}, {a}), ({a, b}, b), ({b}, b), ({b}, {a})} 4. {(a, {a, b}), (b, a), ({a, b}, {a}), ({a, b}, b), ({b}, {a})}

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Here's the Solution to this Question

Given that,

The set B is:

B=\{a,b,\{a\},\{b\},\{a,b\}\}


and , the set P is:

P= \{(a,b),(b,\{a,b\}),(\{a,b\},a),(\{b\},a),(a,\{a\})\}





The composition relation Po P is given as :

\{(a,\{a,b\}),(b,a),(\{a,b\},\{a\}),(\{a,b\},b),(\{b\},b),(\{b\},\{a\})\}


Thus, the correct option is (3)

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Question ID: mtid-5-stid-8-sqid-2966-qpid-1665