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You will find, on average, 3 diamond ore per 16x16 'chunk' of terrain. The number of chunks in a world can be different depending on the game platform, and only a small number of chunks are generated at a time. On the PC Java edition, a map is 60,000,000x60,000,000 blocks, so 3,750,000x3,750,000 chunks. Multiplied by 3, there are roughly 42,187,500,000,000 diamonds in a minecraft world. That doesn't include any diamonds which may generate in chests.

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Q: How many diamonds are in a Minecraft world?
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