Need math help with a word problem Involving permulations

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A club has 5 members.From these members, the positions of president, vice president, and treasurer have to be filed. In how many different ways can these 3 positions be filed

Nov 25th, 2015

Thank you for the opportunity to help you with your question!

number of peoples=5

number of positions=3

so the differnt ways 3 peoples can choose=5C3

and the different ways they can change between the positions=3

so the total ways to choose=5C3*3

=5!*3/(5-3)!3!

=5*4*3!*3/2!3!

=60/2

=30

so the answer is 30

Please let me know if you need any clarification. I'm always happy to answer your questions.
Nov 25th, 2015

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