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On integers, (a*b=a+b+1). Is this operation associative?पूर्णांकों पर (a*b=a+b+1) दिया है। क्या यह संक्रिया सहचारी है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Yesहाँ
Step 1: Find ((a*b)*c), which is ((a+b+1)+c+1=a+b+c+2). Step 2: Find (a*(b*c)=a+(b+c+1)+1=a+b+c+2). Step 3: Since both are equal, the operation is associative.चरण 1: ((a*b)*c) निकालें। यह ((a+b+1)+c+1=a+b+c+2) है। चरण 2: (a*(b*c)=a+(b+c+1)+1=a+b+c+2) है। चरण 3: दोनों बराबर मिलें तो संक्रिया सहचारी होती है।
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