(a) Find the number of arrangements of the set ({1,2, ldots, n}) in which the numbers 1,2...
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(a) Find the number of arrangements of the set \(\{1,2, \ldots, n\}\) in which the numbers 1,2 appear as neighbours.
(b) Let \(n \geq 5\). Find the number of arrangements of the set \(\{1,2, \ldots, n\}\) in which the numbers \(1,2,3\) appear as neighbours in order, and so do the numbers 4,5 .
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