Find the number of ways in which 20 \(\alpha\) and 20 \(\beta\) can be arranged in a row such that upto any point in the row, number of \(\alpha\) is more than or equal to number of \(\beta\).
Note: You may use calculator, if required.
I posted this question one or two weeks ago (as a problem)! But got no response! So I thought of deleting it and reposting it here as a note. So that some real 'geniuses' can help me solve it out.