Mathematics · Set Theory & Binary Operations
Which of the following statements are correct regarding binary operations and algebraic structures? 1. A binary operation on a non-empty set S is a function from S × S to S. 2. Division is a valid binary operation on the set of integers (ℤ). 3. Addition on the set of integers (ℤ) and multiplication on the set of rational numbers (⃚) are valid binary operations. 4. A binary operation * is considered commutative if x * (y * z) = (x * y) * z for all elements in the set. Choose the correct answer from the options given below:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 11, 3 and 4 Only
- 22, 3 and 4 Only
- 31 and 3 Only✓
- 41, 2 and 4 Only
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1 and 3 Only
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