EXAM P QUESTIONS OF THE WEEK
S. Broverman, 2005
Question 3 - Week of August 8
Six digits from
2 , 3 , 4 , 5 , 6 , 7 , 8
are chosen and arranged in a row without replacement to
create a 6-digit number. Find the probabilities of the following events.
(a) The resulting number is divisible by 2.
(b) The digits 2 and 3 appear consecutively in order (i.e., 23 appears in the number).
(c) The digits 2 and 3 appear in order but not consecutively (i.e. 2 before 3, but at least one other
number between them).
The solution can be found below.

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