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Determine the number of arrangements of ...

Determine the number of arrangements of letters of the word ALGORITHM if. (a) vowels are always together. (b) no vowels are together. (c) consonants are at even positions. (d) O is the first and T is the last letter.

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The correct Answer is:
a) 30240, b) 151200, c) 43200, d) 5040
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