A probability problem by Akshat Sharda

Find the number of ways in which n n 1's and n n 2's can be arranged in row so that at any point in the row the number of 1's is more than or equal to the number of 2's.

Submit your answer for n = 10 n=10 .

You may use a calculator for the final step of your calculation.


The answer is 16796.

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1 solution

Siva Bathula
Jan 31, 2017

I found an interesting Wikipedia article around this problem, Bertrand's ballot theorem .

Dyck words of Catalan numbers.

Saya Suka - 4 years, 4 months ago

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