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at a party everyone shakes hands with each person at the party.

Algebra
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at a party everyone shakes hands with each person at the party. althogether there are 45 handshakes. how many people aare at the party?

Sep 15th, 2014

nC2=45
Value of n gives the answer.

for example Example
4 people = 6 handshakes
This is because Person A handshakes B, C, and D. now everyone has handshaked Person A. So now its just three people. B shakes C and D and now everyone has shaked him. Now C shakes D and that's it. The answer is six.
You might notice that the number of handshakes decreases per people. For four, it starts of with three, than two, than one. So 4 people = 3 + 2 + 1 = 6.

Applying the same principle here


People Handshakes

2 people=1 hand shake

3 people=3 hand shake

4 people=6 hand shake

5 people=10 hand shake

6 people=15 hand shake

7 people=21 hand shake

8 people=28 hand shake

9 people=36 hand shake

10 people =45 is the right answer

For a proof

nCr=45

10C4=45 ANSWER prooved


Sep 15th, 2014

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