Question

Q. Which of the following is false?

A Addition is commutative in \(N\).
B Multiplication is associative in \(\mathrm{N}\).
C. If \(a * b=a^{b}\) for all \(a, b \in N\) then \(*\) is commutative in \(\mathrm{N}\).
D Addition is associative in \(\mathrm{N}\).

Answer 1

Solution:
Since, for the set of natural numbers with respect to addition, it is commutative and associative.
Also, for the set of natural numbers with respect to multiplication, it is associative.
Hence, option \((c)\) is false.

Answer 2

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Answer 3

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