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Our club has 10 members, and we need to appoint a president, a vice-president, and a secretary. How many ways can we do this if each member can hold at most one office?

 May 28, 2021
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There are 10 options for the President. 
 

For the Vice President, there are 9 options (anyone but the President)

 

For the Secretary, there are 8 options (anyone but the President and Vice President).

 

This gives us: 10 * 9 * 8 = 720.

 May 28, 2021

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