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  4. At a business meeting, every person shakes hand with each others once. If there were 91 handshakes in total, the number of people at the meeting is

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Q. At a business meeting, every person shakes hand with each others once. If there were 91 handshakes in total, the number of people at the meeting is

Permutations and Combinations

Solution:

${ }^n C_2=91 \Rightarrow \frac{n(n-1)}{2}=91 \Rightarrow n=14$