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The underlying assumption is that each person shakes the hand of each other person. If there are "n" people, each will shake the hands of "n-1" other people. To avoid counting double, the result has to be divided by 2. Therefor, the number of handshakes is equal to n(n-1)/2. Trying this out for several values of "n" should be faster than using the quadratic formula. (If you use the quadratic formula, you will probably get a positive and a negative solution - you can discard the negative solution.)

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14y ago
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Anonymous

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Anonymous

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3y ago
2H=N(N-1)   
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Anonymous

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3y ago
2H=N(N-1);   2 x 28=28x 27 => H = 378  Hand Shake

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Q: At a party 28 handshakes were exchanged How many people were present at the party?
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