SOLUTION: A teacher chooses 3 students from a group of 14 to explain their project. In how many ways can she choose 3 students? Answers are: a. 228 b. 364 c. 1082 or d. 2184.

Algebra ->  Permutations -> SOLUTION: A teacher chooses 3 students from a group of 14 to explain their project. In how many ways can she choose 3 students? Answers are: a. 228 b. 364 c. 1082 or d. 2184.      Log On


   



Question 773341: A teacher chooses 3 students from a group of 14 to explain their project. In how many ways can she choose 3 students? Answers are: a. 228 b. 364 c. 1082 or d. 2184.
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Since the order in which they are chosen is not important, this 
problem asks for the number of combinations (not permutations) 
of 14 things taken 3 at a time.

          14×13×12
C(14,3) = -------- = 364
           3×2×1

Edwin