How many words can be formed using letter of PEPSUDENT using each letter at most once?

i) If each letter must be used,

ii) If some or all the letters may be omitted

i) If each letter must be used, the word will have all 8 letters. The number of ways to arrange 8 distinct letters is 8! (8 factorial), so 8! possible words can _____ __________ ____ ________ __________ ________ __________ ________ _________.
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