Talk:Epic Rap Battles of History 72/@comment-37830233-20190313170509/@comment-37830233-20190317162747

Now we need to determine the house that the fan whose favourite season 4 battle is East vs West lives in. He cannot live in house 1 [Henson vs Lee] or house 5 [Zeus vs Thor], and fact 8 tells us that he cannot live in house 3. This leaves only houses 2 and 4.

Suppose the fan who lives in house 2 has East vs West as his favourite season 4 battle. Fact 12 tells us that his favourite season 5 battle is Ash vs Darwin. His favourite season 1 battle cannot be Lincoln vs Norris [house 3], nor can it be Einstein vs Hawking (from fact 3), Khan vs Bunny (from fact 9), or Seuss vs Shakespeare (from fact 13). And since we already know that his favourite season 3 battle is Newton vs Nye, fact 2 tells us that it cannot be Bieber vs Beethoven. So this cannot work.

This means that the fan in house 4 has East vs West as his favourite season 4 battle. Fact 12 tells us that his favourite season 5 battle is Ash vs Darwin. Now that the fan in house 2 is the only one left without a favourite season 4 battle, it must be Ghost vs Myth, and fact 3 tells us that his favourite season 1 battle is Einstein vs Hawking. The fan whose favourite season 1 battle is Seuss vs Shakespeare cannot live in house 2 [Einstein vs Hawking] or house 3 [Lincoln vs Norris]. Fact 1 tells us that he cannot live in house 1, and fact 13 tells us that he cannot live in house 4 [Ash vs Darwin]. So he must live in house 5, and fact 13 tells us that his favourite season 5 battle is Roosevelt vs Churchill. Now that the fan in house 4 is the only one left without a favourite season 1 battle, it must be Bieber vs Beethoven, and fact 2 tells us that his favourite season 3 battle is Blackbeard vs Capone. The fan whose favourite season 3 battle is Jordan vs Ali cannot live in house 2 [Newton vs Nye] or house 4 [Blackbeard vs Capone], and fact 6 tells us that he cannot live in house 1 [Bond vs Powers] or house 5 [Roosevelt vs Churchill], so he must live in house 3, and fact 6 tells us that his favourite season 5 battle is Tolkien vs Martin. Now that the fan in house 2 is the only one left without a favourite season 5 battle, it must be Alexander vs Ivan, and since the fan whose favourite season 3 battle is Goku vs Superman cannot live in house 3 [Jordan vs Ali], fact 10 tells us that he must live in house 1. Now that the fan in house 5 is the only one left without a favourite seaon 3 battle, it must be Artists vs TMNT.