Question

Twelve high school students on student council are now eligible to run for the unique positions of president, vice president, and secretary. How many unique permutations of these 12 students filling the 3 positions are possible?

Answer 1

counting principle
12 choices for pres
11 for vice pres (since pres has been chosen)
10 for secretary (since first two slots are taken)

counting principle says it is \(12\times 11\times 10\)

Answer 2

1320?

Answer 3

yes