Are the following two statements identical? (A) If M is selected, N has to be selected (B) N is selected only when M is selected?

Question

Answer 1

Nope, they aren't identical.

(A) Either M&N are selected together or N goes alone.
(B) There's a possibility of N being selected, given M is already selected. Thus, N cannot be selected alone, but M alone can be selected.

Answer 2

Nope, they aren't identical.

(A) Either M&N are selected together or N goes alone.
(B) There's a possibility of N being selected, given M is already selected. Thus, N cannot be selected alone, but M alone can be selected.

Answer 3

a) (M^N)V(~N^~M)V(~M^N)
b)(M^N)V(~N^~M)

Answer 4

a) (M^N)V(~N^~M)V(~M^N)
b)(M^N)V(~N^~M)

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Are the following two statements identical? (A) If M is selected, N has to be selected (B) N is selected only when M is selected?