SOLUTION: how many different 12-member juries can be made from 15 people

Algebra ->  Permutations -> SOLUTION: how many different 12-member juries can be made from 15 people       Log On


   

Question 698254: how many different 12-member juries can be made from 15 people
Answer by Positive_EV(69) About Me  (Show Source):
You can put this solution on YOUR website!
This problem can be solved using a combination (Use a combination instead of a permutation because the order the members are selected does not matter). The formula for a combination is

nCk+=+n%21%2F%28k%21%2A%28n-k%21%29%29, where n is the number of possible objects to select from and k is the number of objects to select. Here, n = 15, and k = 12.

15C12+=+15%21%2F%2812%21%2A%2815-12%21%29%29
15C12+=+15%21%2F%2812%21%2A%283%21%29%29
15C12+=+%2815%2A14%2A13%29%2F%283%2A2%2A1%29+=+455

So, there are 455 possible juries that can be selected.