answersLogoWhite

0


Best Answer

66

User Avatar

Wiki User

12y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: If 12 people meet and all shake hands with each other how many handshakes will occur?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Other Math

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

190


There are five people in a room Each person shakes the hand of every other person exactly once How many handshakes are exchanged?

Everyone shakes hands with 4 other people. Since there are 5 people in the room this would suggest there are 5*4 = 20 handshakes. However, you would then be double counting handshakes: A shaking hands with B and B shaking hands with A is, in reality, only one handshake. Thus there are 5*4/2 = 10 handshakes in all.


Seven people come to a party and shakes hands with each other if each person shakes the hand of every other person how many hand shakes occur?

If there are seven people, then the number of handshakes is 7*6/2 = 21


There are 3 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?

With 3 people, there are only 3 handshakes: AB, AC, and BC. Where it gets interesting is at a party with, say, 10 people ... 45 handshakes. Or in the US Senate when all 100 Senators are present ... 4,950 handshakes.


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.

Related questions

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

190


There are five people in a room Each person shakes the hand of every other person exactly once How many handshakes are exchanged?

Everyone shakes hands with 4 other people. Since there are 5 people in the room this would suggest there are 5*4 = 20 handshakes. However, you would then be double counting handshakes: A shaking hands with B and B shaking hands with A is, in reality, only one handshake. Thus there are 5*4/2 = 10 handshakes in all.


Seven people come to a party and shakes hands with each other if each person shakes the hand of every other person how many hand shakes occur?

If there are seven people, then the number of handshakes is 7*6/2 = 21


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.


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.


How many handshakes if 4 people shakes hands with every other person in the room?

Type your answer here... 6


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

50*49/2 = 1225


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.


There are 3 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?

With 3 people, there are only 3 handshakes: AB, AC, and BC. Where it gets interesting is at a party with, say, 10 people ... 45 handshakes. Or in the US Senate when all 100 Senators are present ... 4,950 handshakes.


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.


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.


How many handshakes if 6 people shakes hands with every other person in the room?

If there are 6 people in a room, and each person shakes hands with every otherperson in the room, then there will be 15 separate and distinct handshakesbetween different pairs of people.