SOLUTION: In how many ways could a club of 18 members choose a president, vice president, and treasurer?

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Question 1140142: In how many ways could a club of 18 members choose a president, vice president, and treasurer?
Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Each group of 3 can have +3%2A2%2A1+=+6+ ways
to make up the 3 offices, so this is a permutation
problem, not a combination problem
P( 18,3 ) = +18%21+%2F+%28+18+-3+%29%21+
P( 18,3 ) = +18%21+%2F+15%21+
P( 18,3 ) = +18%2A17%2A16+
P( 18,3 ) = +4896+ different ways
get a 2nd opinion if needed

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

In  18*17*16 = 4896 ways.