SOLUTION: The Interscholastic baseball team has three positions to fill: pitcher, catcher, first base, and shortstop. You and three of your friends have been selected to fill the positions.

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: The Interscholastic baseball team has three positions to fill: pitcher, catcher, first base, and shortstop. You and three of your friends have been selected to fill the positions.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 169353: The Interscholastic baseball team has three positions to fill: pitcher, catcher, first base, and shortstop. You and three of your friends have been selected to fill the positions. How many different ways can you and your friends fill these positions?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
4!=4*3*2*1=24 DIFFERENT WAYS 4 PLAYERS CAN FILL FOUR POSITIONS.
LET THE PLAYERS BE A,B,C,&D
THE POSITIONS ARE P,C,F,S.
P-C-F-S
---------
A-B-C-D
B-C-D-A
C-D-A-B
D-A-B-C
-------
A-C-D-B
C-D-B-A
D-B-A-C
B-A-C-D
-------
A-D-B-C
D-B-C-A
B-C-A-D
C-A-D-B
-------
A-C-B-D
C-B-D-A
B-D-A-C
D-A-C-B
-------
A-B-D-C
B-D-C-A
D-C-A-B
C-A-B-D
-------
A-D-C-B
D-C-B-A
C-B-A-D
B-A-D-C
-------