Aclub with 30 members is to select five officers (president, vice president, secretary, treasurer, and historian). in how many ways can this be done?

A club has 30 members and they need to elect 5 officers, the President, V-Pres., the secretary, the treasurer and the historian.
Find how can this be done?

Now, let’s try to solve by finding the possible ways to make this election.
30 People is to 5 = 30P5
=> 30! / (30 - 5)!
=> 30! / 25
=> 30 x 29 x 28 x 27 x 26
=> 17 100 720

Thus, the answer is 17 100 720

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