The Ultimate Football Challenge

Discrete Mathematics Level 5

Lionel Messi leads his team of 11 players onto the football field. The game begins. Messi starts the ball. The players of the team including Messi pass the ball amongst themselves till Messi receives the ball at the 10th pass and sends the ball soaring past the defenders into the net.

How many ways could they have passed the ball, given that Messi starts the ball and receives it at the 10th pass?

Note : No one can pass the ball to themselves of course. A player can be passed the ball any number of times.

This problem is inspired by Ridiculous NBA


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