Find the number of ways that the numbers 1, 2, ..., 12 can be arranged in a sequence (a1,a2,...,a12)such that a1 >a2 >a3 >a4 >a5 >a6 and a6

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the number of ways that the numbers 1, 2, ..., 12 can be arranged in a sequence (a1,a2,...,a12)such that a1 >a2 >a3 >a4 >a5 >a6 and a6 <a7 <a8 <a9 <a10 < a11 < a12. An example of such a permutation is (6, 5, 4, 3, 2, 1, 7, 8, 9, 10, 11, 12).

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