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the first shakes 8 people's hands (remember, not his own), the second 7 (he doesn't shake the first one's hand), then the third shakes six, the fourth shakes 5, the fifth shakes 4, the sixth shakes 3, the seventh shakes 2, and the 8th shakes the 9ths hand so 8+7+6+5+4+3+2+1 = 36

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Q: How many handshakes will be there be in total if 9 people shake hands with each other?
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Related questions

How many handshakes are there if 100 people all shake hands?

4950 handshakes, that is the definite answer


How many handshakes if 20 people shake hands with every other person in the room?

190


How many handshakes are there if 4 people shake hands?

12


How many handshakes if 25 people shake hands with every other person in room?

Each person will shake hands with every other person, except himself. If there are 25 people, each person will shake hands with 25-1 people, or 24. The number of times each person will shake hands with another, will be 25x24. The number of handshakes will be half of that, as each handshake is between two persons. The formula, in other words, is x(x-1)/2, where x is the number of people. With 25 people, it will be 25x24/2 = 300 handshakes.


If 12 people meet and all shake hands with each other how many handshakes will occur?

66


How many handshakes are there if 200 people all shake hands?

4950


If at a party there are twelve people present Everyone has to shake hands exactly once with every other person How many handshakes are necessary?

Sixty-six unique, distinct handshakes.


There are 10 people they all shake hands how many hand shakes are there?

45 handshakes


How many people would you need to guarantee that there were at least 1000 handshakes?

You could never guarantee 1000 handshakes because the people may choose not to shake hands! If each person did shake hands with everyone else, then 46 people would suffice.


There are 6 people at a party If each person must shake hands with every other person at the party exactly once, how many handshakes will there be?

The first person must shake hands with 5 other people. The next must shake hands with 4 other people, since you exclude the first person. Keep going and you'll find that there will be 5+4+3+2+1=15 handshakes. Numbers like this are called triangular numbers.


How many handshakes will be made if 20 people shake hands?

20*19/2 = 190


How many handshakes will there be altogether at the end of a business conference if the ten people present all shake hands with each other once?

There will be 45 handshakes (assuming that each person doesn't repeat who they shake hands with). Use the following formula for this one (n*(n-1))/2 where n is number of people...so if 10 people its (10 x 9) / 2 = 45 handshakes, if 7 people its (7 x 6) / 2 = 21 handshakes etc.