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Question
At the end of a banquet 10 people shake hands with each other . How many handshakes will be in total?
100
20
45
90
ANSWER : 3
Descrption
<p class = "q - text qu - display - - block" style = "margin: 0px 0px 1em; padding: 0px; color: #282829; font - family: - apple - system, system - ui, BlinkMacSystemFont, 'Segoe UI', Roboto, Oxygen - Sans, Ubuntu, Cantarell, 'Helvetica Neue', sans - serif; font - size: 15px; background - color: #ffffff; box - sizing: border - box; overflow - wrap: anywhere; word - break: break - word; direction: ltr;"><span style = "background: none;">Everybody does 9 handshakes - but then they are counted twice, so 10 * 9 /2 = 45.</span></p> <p class = "q - text qu - display - - block" style = "margin: 0px 0px 1em; padding: 0px; color: #282829; font - family: - apple - system, system - ui, BlinkMacSystemFont, 'Segoe UI', Roboto, Oxygen - Sans, Ubuntu, Cantarell, 'Helvetica Neue', sans - serif; font - size: 15px; background - color: #ffffff; box - sizing: border - box; overflow - wrap: anywhere; word - break: break - word; direction: ltr;"><span style = "background: none;">Alternative calculation:</span></p> <p class = "q - text qu - display - - block" style = "margin: 0px 0px 1em; padding: 0px; color: #282829; font - family: - apple - system, system - ui, BlinkMacSystemFont, 'Segoe UI', Roboto, Oxygen - Sans, Ubuntu, Cantarell, 'Helvetica Neue', sans - serif; font - size: 15px; background - color: #ffffff; box - sizing: border - box; overflow - wrap: anywhere; word - break: break - word; direction: ltr;"><span style = "background: none;">Person no 1 does 9 handshakes</span></p> <p class = "q - text qu - display - - block" style = "margin: 0px 0px 1em; padding: 0px; color: #282829; font - family: - apple - system, system - ui, BlinkMacSystemFont, 'Segoe UI', Roboto, Oxygen - Sans, Ubuntu, Cantarell, 'Helvetica Neue', sans - serif; font - size: 15px; background - color: #ffffff; box - sizing: border - box; overflow - wrap: anywhere; word - break: break - word; direction: ltr;"><span style = "background: none;">Person no 2 does 8 - he already has shaken hands with no1</span></p> <p class = "q - text qu - display - - block" style = "margin: 0px 0px 1em; padding: 0px; color: #282829; font - family: - apple - system, system - ui, BlinkMacSystemFont, 'Segoe UI', Roboto, Oxygen - Sans, Ubuntu, Cantarell, 'Helvetica Neue', sans - serif; font - size: 15px; background - color: #ffffff; box - sizing: border - box; overflow - wrap: anywhere; word - break: break - word; direction: ltr;"><span style = "background: none;">And so on …</span></p> <p class = "q - text qu - display - - block" style = "margin: 0px 0px 1em; padding: 0px; color: #282829; font - family: - apple - system, system - ui, BlinkMacSystemFont, 'Segoe UI', Roboto, Oxygen - Sans, Ubuntu, Cantarell, 'Helvetica Neue', sans - serif; font - size: 15px; background - color: #ffffff; box - sizing: border - box; overflow - wrap: anywhere; word - break: break - word; direction: ltr;"><span style = "background: none;">person no 9 does 1 handshake with person no 10</span></p> <p class = "q - text qu - display - - block" style = "margin: 0px 0px 1em; padding: 0px; color: #282829; font - family: - apple - system, system - ui, BlinkMacSystemFont, 'Segoe UI', Roboto, Oxygen - Sans, Ubuntu, Cantarell, 'Helvetica Neue', sans - serif; font - size: 15px; background - color: #ffffff; box - sizing: border - box; overflow - wrap: anywhere; word - break: break - word; direction: ltr;"><span style = "background: none;">Btw person no10 has already shaken everybody’s hand, ok</span></p> <p class = "q - text qu - display - - block" style = "margin: 0px 0px 1em; padding: 0px; color: #282829; font - family: - apple - system, system - ui, BlinkMacSystemFont, 'Segoe UI', Roboto, Oxygen - Sans, Ubuntu, Cantarell, 'Helvetica Neue', sans - serif; font - size: 15px; background - color: #ffffff; box - sizing: border - box; overflow - wrap: anywhere; word - break: break - word; direction: ltr;"><span style = "background: none;">So we get 9 + 8 + … + 1</span></p> <p class = "q - text qu - display - - block" style = "margin: 0px 0px 1em; padding: 0px; color: #282829; font - family: - apple - system, system - ui, BlinkMacSystemFont, 'Segoe UI', Roboto, Oxygen - Sans, Ubuntu, Cantarell, 'Helvetica Neue', sans - serif; font - size: 15px; background - color: #ffffff; box - sizing: border - box; overflow - wrap: anywhere; word - break: break - word; direction: ltr;"><span style = "background: none;">The seven years old Gauß might tell you that this is 10 * 9 / 2 = 45</span></p>
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