how many ways, can this be done?

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how many ways, can this be done?

Consider a random walk where steps are decided based on coin tosses. A head is a positive step and a tail is a negative step. After 16 steps, the random walker finds himself at the same position as where he started.In how many ways, can this be done?

Number of combinations= N!/NH!NT!

Number of combinations=16!/(8!*8!)

Number of combinations=12870

 

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