How many ways can we have:

i) A chair, vice chair, and treasury from our 8 faculty?

ii) A chair, vice chair, and treasury if John is already chosen to be the vice chair?
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1 Answer

i) Choice of 8 for chair; choice of remaining 7 for vice-chair; choice of 6 for treasurer. 8×7×6=336 ways.

ii) John has already been picked, so that leaves 7 possibles for chair and 6 for treasurer: 7×6=42.

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