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SMO 2010 Open Round 1 Question 24

SMO · SMO 2010 Open Round 1

Question 24

Find the number of permutations $a_1a_2a_3a_4a_5a_6$ of the integers $1$ to $6$ such that, for every $i=1,2,\ldots,5$, $a_{i+1}$ does not exceed $a_i$ by $1$.