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Question: 2017 Winter Final - 17

Author: Michiel Smid
Consider a uniformly random permutation of the set $\{1,2,\dots,50\}$. Define the event
  • A = "in the permutation, both 8 and 4 are to the left of both 1 and 2".
What is $\Pr(A)$?
(a)
2/3
(b)
1/3
(c)
1/5
(d)
1/6