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There are (2+2+1)! 2!2!1! 30 anagrams of kayak. How many of them are deranged? %3D

There are (2+2+1)! 2!2!1! 30 anagrams of kayak. How many of them are deranged? %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. Recall that a derangement is a permutation where no element ends up in its original position. In this problem we consider a different, related concept: deranged anagrams. We say that an anagram is deranged if no letter ends up in its original position and no letter ends up in the original position of an identical letter. For example, ffeeco is a deranged anagram of coffee, but eefcof is not. There are 212!1! = 30 anagrams of kayak. How many of them are deranged?
Transcribed Image Text:2. Recall that a derangement is a permutation where no element ends up in its original position. In this problem we consider a different, related concept: deranged anagrams. We say that an anagram is deranged if no letter ends up in its original position and no letter ends up in the original position of an identical letter. For example, ffeeco is a deranged anagram of coffee, but eefcof is not. There are 212!1! = 30 anagrams of kayak. How many of them are deranged?
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