there are 200 seniors and 100 womens invited to a party, if one women, will shake hands with a senior for 2 times, and if everyone should handshake atleast one time, (seniors shake hands with other seniors and womens shake hands with outher seniors too) how many handshakes would be in that party??

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senior to senior; eh.... 200(199)/2

well, lets try that with the total for starters;
300(299)/2 is everyone shaking hands once

yes

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