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On (A={1,2,3,4,5}), (R) has classes ({1,2},{3},{4,5}). How many pairs are in the complement of (R)?समुच्चय (A={1,2,3,4,5}) पर (R) के वर्ग ({1,2},{3},{4,5}) हैं। (R) का पूरक संबंध कितने युग्मों का होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (16)(16)
Step 1: (A\times A) has (5^2=25) ordered pairs. Step 2: (R) contains (2^2+1^2+2^2=9) pairs. Step 3: The complement has (25-9=16) pairs.चरण 1: (A\times A) में (5^2=25) युग्म हैं। चरण 2: (R) में (2^2+1^2+2^2=9) युग्म हैं। चरण 3: पूरक में (25-9=16) युग्म होंगे।
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