Find which of the binary operations are commutative and which are… - Vidyadip

Question

Find which of the binary operations are commutative and which are associative.
State whether the following statements are true or false. Justify
If * is a commutative binary operation on N, then a * (b * c) = (c * b) * a

✓

Answer

* being a binary operation on N.
$\therefore$ c * b = b * c
$\therefore$ (c * b) * a = (b * c) * a = a * (b * c)
Thus, a * (b * b) = (c * b) * a, therefore, the given statement is true.

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