ProbabilityHard

Question

There is a three volume dictionary among 40 books arranged on a shelf in random order. The probability of these volumes standing in increasing order from left to right (the volumes are not necessarily kept side by side) is:

Options

A.1/3
B.1/6
C.1/9
D.none

Solution

n(S) = 40!
n(E) = 40!/3!
P =
Aliter     n(S) = 40!
n(E) = 40C3 . 1 . 37!

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