SOLUTION: Six applications apply for two jobs. How many different outcomes are possible? Is this question Permutation or Combination?

Algebra ->  Permutations -> SOLUTION: Six applications apply for two jobs. How many different outcomes are possible? Is this question Permutation or Combination?      Log On


   



Question 402856: Six applications apply for two jobs. How many different outcomes are possible? Is this question Permutation or Combination?
Found 2 solutions by jim_thompson5910, rapaljer:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If the order matters, then you'll use a permutation. Examples of this would be if the two jobs are different (say president and vice president)

If the order does NOT matter, then you'll use a combination. So if the two positions are the same (eg you're hiring 2 accountants), then the order does NOT matter.

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
It could actually be either way. If the jobs are two DISTINCT and SEPARATE jobs, then it is a permutation. The order matters!!

If these are two jobs, like two vacancies in an office pool, doing essentially the same task, then this is a combination. The order does NOT matter!!

P(6,2) = 6*5 = 30
C(6,2) = %286%2A5%29%2F%282%2A1%29+ = 15

The problem is not completely clear to me. You decide!!

Dr. Rapalje