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Order in triangular array (Posted on 2019-08-27) |
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A set of n(n + 1)/2 (distinct) numbers is arranged at random in a triangular array:
*
* *
* * *
.
.
* * ... * *
Let Mk denote the largest number in the kth row from the top. Find the probability that Mn > Mn-1 > ... > M1.
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