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Question: 2016 Fall Final - 18

Author: Michiel Smid
Consider a uniformly random permutation of the set $\{1,2,\dots,77\}$. Define the event
  • A = "in the permutation, both 8 and 4 are to the left of 3".
What is $\Pr(A)$?
(a)
1/2
(b)
None of the above.
(c)
1/4
(d)
1/3