Air Hockey Deadlock | PuzzledQuant

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⚡ Build the skills to land top-paying quant jobs. Offer ends in 25d 09h 50m 09s25 days 9 hours 50 minutes 9 seconds.

Farah and Lena play an air hockey match under these rules:

The score starts at 0-0 and each goal raises the scorer's total by one.
The first player to reach 6 goals wins the match, unless the score has been 5-5 at some point. Once the score has been 5-5, a player needs a lead of two goals to win.

A match is recorded as the goal-by-goal sequence of who scored each goal. How many different sequences lead to a score of 6-6?

Farah and Lena play an air hockey match under these rules:

The score starts at 0-0 and each goal raises the scorer's total by one.
The first player to reach 6 goals wins the match, unless the score has been 5-5 at some point. Once the score has been 5-5, a player needs a lead of two goals to win.

A match is recorded as the goal-by-goal sequence of who scored each goal. How many different sequences lead to a score of 6-6?