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Home » Niantic Just Surprised Fans: The Game-Changing Feature Coming to Pokémon GO! - Silent Sales Machine

Niantic Just Surprised Fans: The Game-Changing Feature Coming to Pokémon GO! - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 This is now equivalent to distributing 3 indistinct items (remaining non-A slots) into 4 distinct gaps (with no restriction), which has $ \binom{3 + 4 - 1}{3} = \binom{6}{3} = 20 $ ways.

📌 But since the non-A positions (the 5 positions not occupied by A) are fixed in sequence, and we are assigning specific labels (U, C, G) to them, we must instead use the method of placing A’s with spacing, then counting valid assignments.

📌 Alternative ( clearer) approach:

📌 The number of ways to choose 3 non-adjacent positions out of 8 is a known result. It is equivalent to choosing 3 positions such that no two are consecutive.

📌 This is given by:

📌 \binom{8 - 3 + 1}{3} = \binom{6}{3} = 20

📌 This formula counts the number of ways to place $k$ non-adjacent indistinct items in $n$ positions.

📌 So, there are 20 ways to choose positions for the 3 A’s such that no two are adjacent.

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