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Mathematics 20 Online
OpenStudy (anonymous):

in how many different ways can 6 volleyball plays be arranged on a court from a team of 9 players?

OpenStudy (experimentx):

9!/(6!3!)

OpenStudy (experimentx):

or 9!/3! ... i guess it's 9P3 rather

OpenStudy (hoblos):

C is for combination .... here we need arrangement so we us P 9P3 = 9!/3!

OpenStudy (experimentx):

so player's were being arranged in certain positions in the court.

OpenStudy (anonymous):

I think here arrangement matters. So yes 9P3.

OpenStudy (ash2326):

We'll select 6 players from 9 players in \(\large ^9C_6 \)ways they can be arranged in \(\large ^6P_6\ or 6! \)ways so \[ \large ^9C_6 \times 6!\]

OpenStudy (ash2326):

this is \[\huge ^9P_6\ or\ ^9P_3\]

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