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Home » Nick Kerr Shocked the World—You Won’t Believe What He Revealed Next! - Get link 4share

Nick Kerr Shocked the World—You Won’t Believe What He Revealed Next! - Get link 4share

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 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.

📌 Step 2: Assign labels to the remaining 5 positions.

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