M K.

asked • 04/08/14

Permutations and Combinations

How do you solve this? Please include all steps. Thanks!
on the tv show american idol, a young rising star is eliminated each week. the first week, each of the 12 contestants sings a song. how many possible ways could the contestants be ordered 1-12? how many possible ways could six men and six women be ordered to alternate female and male contestants?
Also, what word clues can you use to figure out if the problem is using permutations, combinations or the fundamental counting principle? Thanks!

2 Answers By Expert Tutors


David R. answered • 04/09/14

4.9 (17)

Math/Physics/Computer Science Tutor

Kay G. answered • 04/09/14

4.9 (34)

~20 Years Accounting Tutoring Experience

Parviz F.

If order by which the men and women appear , then it becomes permutation. 


Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.


Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.