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# A programming club has 6 members consisting of 4 female and 2 male students. In how many ways the club leadership consisting of a president, a vice

A programming club has 6 members consisting of 4 female and 2 male students.

In how many ways the club leadership consisting of a president, a vice president and a treasurer can be selected?

my result: I got that it can be selected in 4096 ways, since for each member you have 4 possibilities, President, Vice president, Treasurer, and none of the other.

Question: Is that correct? And if it is, is the explanation that I gave justification enough?