SOLUTION: Charmayne is organizing a track meet. There are 4 runners in her class. Each runner must compete one-on-one against each of the other runners in her class. How many races must

Algebra ->  Permutations -> SOLUTION: Charmayne is organizing a track meet. There are 4 runners in her class. Each runner must compete one-on-one against each of the other runners in her class. How many races must      Log On


   



Question 143281: Charmayne is organizing a track meet. There are 4 runners in her class. Each runner must compete one-on-one against each of the other runners in her class.
How many races must Charmayne schedule? This would be 4*3*2*1=24 (Is this correct?)
Must Charmayne schedule permutations or combinations? Permutations (Is this correct?)
Thanks

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Charmayne is organizing a track meet. There are 4 runners in her class. Each runner must compete one-on-one against each of the other runners in her class.
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Pairing:
12,13,14
23,24
34
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How many races? : 6
Permutations or combinations: combination 4C2 = 6
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Cheers,
Stan H.