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In mathematics, a word is an ordered combination of letters that may or may not make sense in french. How many different words can be

In mathematics, a word is an ordered combination of letters that may or may not make sense in french. How many different words can be formed from the 20 consonants of the alphabet french A B C D F G H J K L M N P Q R S T V X Z composed of 15 distinct letters that begin with 'STVXZ' or end with 'ABCD' ? Please justify your solutions with explanations and the names of the combinatorial principles or formulas used.

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