SOLUTION: How many ways can we select a president, vice-president and secretary from a group of eight people? I used 8C3 and came up with 56. Is this correct?

Algebra ->  Permutations -> SOLUTION: How many ways can we select a president, vice-president and secretary from a group of eight people? I used 8C3 and came up with 56. Is this correct?      Log On


   

Question 366931: How many ways can we select a president, vice-president and secretary from a group of eight people?
I used 8C3 and came up with 56. Is this correct?
Found 2 solutions by jim_thompson5910, sudhanshu_kmr:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You are correct if ordered didn't matter, but order actually does matter (since the positions are different)


So you should use 8 P 3 instead.

Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!
8C3 is wrong here since it matter of arrangement not of only selection.

This problem can be viewed as : How many ways can 8 people sit on 3 chairs?


obviously, no. of ways = 8P3= 336