anonymous
  • anonymous
Everyone at a party shook hands. There were 210 handshakes in all. How people attended the party?
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Have you tried anything so far?
anonymous
  • anonymous
Oh, nothing? :( OK, let's start with looking at some small cases and try and find a general pattern. If two people go, the first person shakes hands with the second, and that is it. 3 people: 1-> 2, 3 2-> 3 And we are done.
anonymous
  • anonymous
You could try looking at slightly larger groups, but you may notice a pattern soon?

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dumbcow
  • dumbcow
is what iNewton said make sense? the pattern should lead you to combinations there are 210 possible handshakes among n people handshake takes 2 people so there are 210 pairs among n people nC2 = 210 combinations equation n!/(n-2)!*2! = 210 solve for n

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