Hi. Both of them are correct with completely different meaning. a.
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hrsaneib. I like either tea or coffee= I like both of them and it makes no difference to me.Sorry, I disagree. "I like either tea or coffee" makes no sense to me. To convey the meaning you give I'd say "I like both tea and coffee".
Both the sentence are correct having completely different meanings..
a is u like both
b is u like none