if a club has 18 memebers how many different arragments of president, vice president, and secreary are possible

Question

amistre64 · Answer

18!
-----   right?
15! 3!

nowhereman · Answer

Start by selecting a president, then a vice president from the remaining persons and the secretary at last. Observe that for any choice of a president there are the same number of choices for a vice president etc.

anonymous · Answer

no it was suppose to be a number right answer was 4896

nowhereman · Answer

amistre64 your answer takes the formula for selecting 3 out of 18 without taking different orders into account. But here it is important who of the three is president, vice president and secretary and in your model that can only be determined by the order.

amistre64 · Answer

....still get those confused :)

18!
--- = 4896 tho :)
15!

amistre64 · Answer

18 possibles for the first one; 17 possibles for the 2nd, and 16 possibles for the 3rd..= 4896

nowhereman · Answer

indeed :-)