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Home » "You Won’t Believe How Cute (and Mysterious) This Cartoon Christmas Tree Is! - Decision Point

"You Won’t Believe How Cute (and Mysterious) This Cartoon Christmas Tree Is! - Decision Point

📅 May 6, 2026 👤 scraface

May 06, 2026

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📌 In a deck of 52 playing cards, how many ways can you arrange 5 cards such that the sequence forms a royal flush (all cards of the same suit and rank order A-K of the same suit)? Numbers are considered indistinguishable for this puzzle—a royal flush in a specific suit counts as just one unique arrangement.

📌 But the phrasing arrange 5 cards suggests a misalignment—royal flush is 5 cards, all same suit, A-K. So assuming typo, intended: arrange 5 cards of the same suit in rank order A-K (royal flush) — but only 5 cards needed, A-K of a suit.

📌 Yet the instruction says arrange 5 cards forming a royal flush — but royal flush is not 5 cards? Wait: standard is 5 cards: A, K, Q, J, 10 — yes, 5 ranks. So:

📌 Fix: The question intends: How many ways to select and arrange the 5 cards A-K of a single suit from a deck, where only suit and order (A-K) matter, and cards of same rank and number are indistinct? But since all cards are distinct by suit and rank, even if indistinguishable applies only to interpretation, the sequence A, K, Q, J, 10 of spades is unique.

📌 But if numbers are indistinguishable in value (e.g., heart 10 same as diamond 10 if indistinct), but rank matters, then only fixed sequence counts.

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