Which of the following binary operations are associative? 1) Subtraction on the

Question

Which of the following binary operations are associative?

1) Subtraction on the set Z: No

2) The operation max (a,b) on the set Z. (Recall that max(a,b) is the maximum of a and b. For example max (2,-3) = 2.):

3) The operation a * b = 1 on the set Z

4) The operation a * b = a on the set Z

5) The operation a * b = b on the set Z

6) The operation a * b = a + b + 1 on the set Z

7) The operation a * b = 2ab on the set Z

8) The operation a * b = ab + 1 on the set Z

9) The operation a * b = 2a + b on the set Z

10) Exponentiation on the set N

Explanation / Answer

Check my answer and plzzzzzz rate .

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Thank you

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