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For each of the following determine the number of arrangements of the given letters given the specific restrictions a) ALGORITHMS with no restrictions. b) DATASTRUCTURES

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For each of the following determine the number of arrangements of the given letters given the specific restrictions a) "ALGORITHMS" with no restrictions. b) "DATASTRUCTURES" with no restrictions. c) ALGORITHMS" where all the vowels are adjacent. d) DATASTRUCTURES" where all the vowels are adjacent. 05

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