MathDB
Find permutations

Source: INMO 1992 Problem 4

October 4, 2005
permutationscountingcombinatorics

Problem Statement

Find the number of permutations (p1,p2,p3,p4,p5,p6)( p_1, p_2, p_3 , p_4 , p_5 , p_6) of 1,2,3,4,5,61, 2 ,3,4,5,6 such that for any k,1k5k, 1 \leq k \leq 5, (p1,,pk)(p_1, \ldots, p_k) does not form a permutation of 1,2,,k1 , 2, \ldots, k.