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6*5/2 = 15

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Q: Six people met and shook hands with one another How many Handshakes were there?
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At a certain part 36 handshakes were exchanged everyone shook hands exactly once how many people attended the party?

Each handshake involves two people. If everyone shook only once then there were 36 x 2 ie 72 guests.


There are 7 people at a party Each person must shake hands with all the other people at the party once How many handshakes does it take to do this?

14 is incorrect Correct answer is 21* 7 persons in total, which means the first one will shake hands with 6 persons, the next in line will shake hands with 5 (given that he already shook hands with the first person). Calculation is: 6+5+4+3+2+1=21 *Applies to question if handshakes take place between new partners only, however in either case 14 can never be the answer.


How many handshakes will there be in total if 10 people shake hands with each other?

"Each other" leaves this very open-ended; that depends on if A shakes with B or A shakes with B & C, OR if A shakes with all the other nine, etc. I would say the answer would have to be one of two: 10 or 100. If each person chooses only one to shake with, it would be ten. IF each person shakes with everyone there, all ten, it would be 100. Since this question is pretty vague, Some people may come to the conclusion that the answer is Either 90 assuming everybody stayed to shake hands with each other meaning the first person shook hands with 9 people and the 2nd person did the same etc etc bringing it to the conclusion that you got 90 handshakes. Another answer towards for people would be 45 being that the first person gave a hand shake to 9 people and then left and then the 2nd person gave a handshake to 8 people n then left etc and etc making it 9+8+7+6+5+4+3+2+1=45. A very simple formula can be applied here. no. of handshakes= (n(n-1))/2 where n is the no.of people present Another conclusion i think the answer is, is the simplest conclusion you can come up with; at the end of the banquet 10 people shake hands with each other so how many handshakes were passed on? 5 hand shakes were given cause that way 10 people did give a hand shakes and since it takes 2 to give out a handshake 5 hand shakes were given. The phrase "Each other" is inclusive, meaning that every person shakes the hand of every other person at the end of the banquet. And since the handshakes that occur when person 1 shakes person 2's hand and vice versa, are the same handshake, those handshakes only count as one entire handshake. This holds true with every other handshake between every other person at the banquet. With this is mind, there will be 45 handshakes since person 1 will shake 9 other people' hands, then person 2 will shake 8 other people's hands, and so on. It would look like this on paper: 9+8+7+6+5+4+3+2+1=45. Each of the 10 people shakes hands with 9 others. If you multiply that, you are counting each handshake double. Therefore, the calculation is 10 x 9 / 2.


Related questions

How many handshakes would there be if four people shook hands with one another once?

6


How many handshakes would there be if 100 people shook hands?

200? D:


How many hand shakes would there be if 26 people shook hands?

there would be 26 handshakes if they were all done at once


How many handshakes within 50 people if each 1 shook hands with the other?

50*49/2 = 1225


If each of seven persons in a group shakes hands with each of the other six persons then a total of forty-two handshakes occurs?

The answer is 21 handshakes because the first person shakes hands with the other 6 people. The second person shakes hands with 5 people because they already shook hands with the first person. The third person shakes hands with 4 people because they already shook hands with the first and second person. The fourth person shakes hands with 3 people because they already shook hands with the first, second, and third. The fifth person shakes hands with 2 people because they already shook hands with the first, second, third, and fourth person. The sixth person shakes hands with the seventh person because the rest have already shaken hands with them. The seventh person doesn't have anyone else to shake hands with. Therefore the answer is 21 handshakes.


After a Student Council meeting all 14 members shook hands with every member How many handshakes were made?

91


At a certain part 36 handshakes were exchanged everyone shook hands exactly once how many people attended the party?

Each handshake involves two people. If everyone shook only once then there were 36 x 2 ie 72 guests.


How many people were at a party if There were 105 handshakes at a party and if each person at the party shook hands with exactly once with every other person.?

15 (15 * 15 - 15)/2 = 105


If each OF seven persons in a group shakes hands with each of the other six persons then a total of forty two handshakes occurs?

The correct answer is 21. The first person shakes hands with the other 6 people. The second person shakes hands with 5 people because they already shook hands with the first person. The third person shakes hands with 4 people because they already shook hands with the first and second person. The fourth person shakes hands with 3 people because they already shook hands with the first, second, and third. The fifth person shakes hands with 2 people because they already shook hands with the first, second, third, and fourth person. The sixth person shakes hands with the seventh person because the rest have already shaken hands with them. The seventh person doesn't have anyone else to shake hands with. So the total would be 21...


At certain party there wereb 45 handshakes Everyone shook hands with everyone else exactly once how many people attended the party?

There were ten people at the party. This is a triangular sequence starting with two people: 1, 3, 6, 10, 15, 21, 28, 36, 45, etc. There's an equation for this. With n people at the party, the number of handshakes is n(n-1)/2.


Which is correct--- they shook hands or they shaked hands?

"They shook hands" is correct.


How many handshakes would take place if 1000 people shook each other's hand exactly once?

1000*999/2 = 499500