Counting straights

How many 55-card poker hands are straights (five consecutive ranks, any suits - counting straight flushes, and both ace-high and ace-low)?

Show hints (2)+
  1. Count the runs of consecutive ranks (10 of them).
  2. Each card is free to be any of 4 suits ⇒ ×45\times 4^5.

Answer

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10240

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