Talk:Epic Rap Battles of History 72/@comment-37830233-20190313170509/@comment-37830233-20190315180900

It is much harder to prove that the fan who lives in house 5 has Artists vs TMNT as his favourite season 3 battle. To do this, we need to determine the house that the fan whose favourite season 2 battle is Brown vs Who lives in. We have already determined that it isn't house 1 [Gandhi vs King] or house 2 [Rasputin vs Stalin], and from facts 5 and 8, we know that it isn't house 3, leaving only houses 4 and 5.

Suppose the fan who lives in house 4 has Brown vs Who as his favourite season 2 battle. From fact 5, his favourite season 4 battle is Zeus vs Thor, and from fact 4, the fan who lives in house 3 has Batman vs Sherlock as his favourite season 2 battle. Now that the fan in house 5 is the only one left without a favourite season 2 battle, it must be Jobs vs Gates, and fact 1 tells us that his favourite season 1 battle is Lincoln vs Norris.

From fact 9, the fan whose favourite season 1 battle is Einstein vs Hawking cannot live in house 1, and it cannot be house 5 either [Lincoln vs Norris]. From facts 3 and 8, it cannot be house 3 or house 4 [Zeus vs Thor], so it must be house 2, and fact 3 tells us that his favourite season 4 battle is Ghost vs Myth. Now that the fan in house 5 is the only one left without a favourite season 4 battle, it must be East vs West, and fact 12 tells us that his favourite season 5 battle is Ash vs Darwin.

The fan whose favourite season 3 battle is Jordan vs Ali cannot live in house 2 [Newton vs Nye], and fact 6 tells us that he cannot live in house 1 [Bond vs Powers] or house 5 [Ash vs Darwin] either. So he must live in house 3 or 4. We already know that his favourite season 1 battle cannot be Einstein vs Hawking [house 2] or Lincoln vs Norris [house 5]. But fact 2 tells us that it cannot be Bieber vs Beethoven, facts 6 and 13 tell us that it cannot be Seuss vs Shakespeare, and fact 9 tells us that is cannot be Khan vs Bunny. So this cannot work.

Therefore the fan who lives in house 5 has Brown vs Who as his favourite season 2 battle. From fact 5, his favourite season 4 battle is Zeus vs Thor, and from fact 4, the fan who lives in house 4 has Batman vs Sherlock as his favourite season 2 battle. Now that the fan in house 3 is the only one left without a favourite season 2 battle, it must be Jobs vs Gates, and fact 1 tells us that his favourite season 1 battle is Lincoln vs Norris.