Math miscellaneousEasy

Question

Let A = and B = , a , b ∈ N. Then

Options

A.there cannot exist any B such that AB = BA
B.there exist more than one but finite number of B′s such that AB = BA
C.there exists exactly one B such that AB = BA
D.there exist infinitely many B′s such that AB = BA

Solution

A =     B =
AB =
BA =
AB = BA only when a = b

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