SOLUTION: 10 A club consist of ten members. How many different ways can a group of three people be selected to go on an European trip ?

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Question 178827: 10 A club consist of ten members. How many different ways can a group of three people be selected to go on an European trip ?
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
A club consist of ten members. How many different ways can a group of three people be selected to go on an European trip ?
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The 1st selection is 1 of 10, then 1 of 9, then 1 of 8.
10*9*8 = 720.
But, selecting persons ABC is the same as CAB and CBA, etc.
So the 720 has to be divided by 3*2*1 = 6.
720/6 = 120 different possible groups. (Be careful, someone will try to cheat)

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