Discussion
Why does taking the output between both collectors double the gain?
Answer: C
Each collector swings by the same amount in opposite senses, so the difference between them is twice either one's excursion. The tail current is constant by design, the input division is a separate matter, and the loads are not in series. A double-ended output also rejects the common-mode movement, since that appears equally at both, so the arrangement buys twice the gain and better rejection at once.
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