gbecker360
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- Jan 25, 2018
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We were doing some permutations in class today, teacher left us with one for homework that had me stumped.
Our class was asked to find the best formula for modelling the following problem:
A photographer is taking a photo of a soccer team. There are 15 players in total: 2 coaches, 6 defenders, 6 forwards and 1 goalkeeper. The photographer has a specific arrangement for the players, with the coaches on either side of the defenders in the back row, and the goalie front and centre with 3 forwards on either side.
The question had a diagram similar to this:
C D D D D D D C
...F F F G F F F
A friend told me that because of the repeated letters, the formula would be: 15! / (2!6!6!)
I wasn't sure this was correct as the question deals with individual players, unlike letters in a word problem, the answer would just be: 2!6!6!
Who's right? Or are we both overlooking the obvious...
P.S. This is my first post, is there a way of entering equations like there is in word?
Our class was asked to find the best formula for modelling the following problem:
A photographer is taking a photo of a soccer team. There are 15 players in total: 2 coaches, 6 defenders, 6 forwards and 1 goalkeeper. The photographer has a specific arrangement for the players, with the coaches on either side of the defenders in the back row, and the goalie front and centre with 3 forwards on either side.
The question had a diagram similar to this:
C D D D D D D C
...F F F G F F F
A friend told me that because of the repeated letters, the formula would be: 15! / (2!6!6!)
I wasn't sure this was correct as the question deals with individual players, unlike letters in a word problem, the answer would just be: 2!6!6!
Who's right? Or are we both overlooking the obvious...
P.S. This is my first post, is there a way of entering equations like there is in word?
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