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A+ B equals C times G squared divided by four gives you the dividend of 9×8
You calculate the number of ways that 2 people can be chosen from 10.
The formula:
n! / r! * (n-r)! =
10! / 2! * 8! =
10 * 9 * 8! / 2 * 8! =
10 * 9 / 2 =
45 handshakes
Source:
http://www.1728.org/combinat.htm
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