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permutation

Dimulai oleh jacks, Mei 30, 2012, 04:01:21 PM

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jacks

Let a_{1},a_{2},a_{3}......,a_{10} be a permutation of the set \left\{1,2,3......,10 \right\} such that the sequence a_{i}

decreases first and then increases like 8,6,4,1,2,3,5,7,9,10. If N is the number of such permutations,then

the sum of digits of N is

Mtk Kerajaan Mataram

The such permutations comprise of two parts, the decreasing sequence part and the increasing one. What if one of these contains only one term? For example 10,1,2,3,4,5,6,7,8,9, can it be involved?