speedymack1965 speedymack1965
  • 17-03-2016
  • Mathematics
contestada

a club has 10 members.

If the club is sending 3 members to a convention, how many different groups of 3 members are possible?

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waterspritdragon
waterspritdragon waterspritdragon
  • 17-03-2016
Okay so you have 10 members. So you would go 10 divided by 3 that is equal to 9 with one left over. 
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zerofrancisco zerofrancisco
  • 17-03-2016
that is the combination of 10 over 3, which is calculated as the quotient of factorials:
n!/k!(n-k)!
where n = 10 and k = 3:
= 10!/3!(10 - 3)!
= 10!/3!*7!
= (10*9*8)/(3*2*1)
= 720/6
= 120
therefore there a re 120 possible different groups
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