Question

If a club consists of 10 members, how many different arrangements of president, vice-president, and secretary are possible?

Answer 1

There are 10 choices for the first position (president), 9 remaining choices for the second position (vice-president), and 8 remaining choices for the third position (secretary). Therefore, the total number of arrangements is:

10 x 9 x 8 = 720

There are 720 different arrangements of president, vice-president, and secretary possible in a club with 10 members.