Java Edition:Infinity and Mending Book/Bow
Infinity and Mending enchantments used to not be mutually exclusive. In these versions, the bow could be created just like any other enchanted tool. They were first available in 15w42a when Mending was introduced and removed in 16w50a, making 1.11 the last version they were obtainable. They made the two enchantments conflict because the developers thought the ability to shoot infinite arrows and repair the bow was overpowered.
Obtaining Bow
Combining Bows in Anvil
During the period, the player could combine a bow with Mending and a bow with Infinity in an anvil. The resulting bow would contain both enchantments.
Combining Bow and Book in Anvil
During the period, the player could combine a bow with Mending with an Infinity enchanted book or a bow with Infinity with a Mending enchanted book.
Infinity and Mending Book
The player can also obtain an enchanted book with both Infinity and Mending and then combine that with an unenchanted bow to get an Infinity and Mending bow.
Obtaining Book
Combining Books
A book with Infinity and a book with Mending can be combined in an anvil. Either book can have multiple enchantments in addition to Infinity or Mending.
Chest
It is possible to find Infinity and Mending books in jungle temple and stronghold chests in these versions. This is the only way to get a 0 repair cost book of this type because Mending is a treasure enchantment and therefore can't be received from an enchanting table.
Order of Enchantment
There are technically two separate bows obtainable in these versions that are identical in behavior but have different NBT data. The player can obtain a bow with Mending first and Infinity after or Infinity first and Mending after.
Additionally, the other enchantments for a bow (Punch, Power, Flame, Unbreaking, or one random enchantment) can be combined in hundreds of different permutations. All of these bows will only be creatable in this time range.
Number of Possibilities
Normally, in 1.9 there are 6 available enchantments for a bow: Punch, Power, Flame, Unbreaking, Infinity, and Mending. To calculate the number of possible bows with different orderings of the enchantments factorial must be used. 6! = 720 different possible enchantment combinations when you have all the enchantments. But we can also calculate having some of the available enchantments for a grand total of 6!+5!+4!+3!+2! = 872 different discontinued bow with various enchantment arrangements. Later, when Curse of Vanishing and Curse of Binding are added to the game they can be applied to any of the 872 bows.
Number of Possibilities with Any Enchantment on any Item
Additionally, using any enchantment on any item you can append Infinity and Mending to a bow that has a discontinued enchantment such as Protection.
16w50a Oversight
In 16w50a, the Infinity + Mending bow was supposed to be unobtainable. However, due to an oversight the player is able to apply Mending to Infinity, but not the other way around, meaning the Infinity first variant of the bow was still available in this snapshot.
Gallery
Combining an Infinity bow and a Mending bow in an anvil
Combining an enchanted book with Infinity and Mending with a bow in an anvil
Combining an enchanted bow with the other enchanted book in an anvil
