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Since order doesn't matter and repetition is not allowed for this situation, we use combination. For instance, if person 1 gave a handshake with person 2, then there is no need for person 2 to do that with person 1. This is considered to be already a handshake.
You get 11 choose 2 = 55 handshakes.
What else can I help you with?
At the end of a banquet 5 people shake hands with each other How many handshakes will there be in total?
Each person shakes hands with every other person at the end of the banquet. When person 1 shakes hands with person 2 that constitutes one handshake even though 2 people are involved. So the answer is 10 total handshakes because the 1st person will have 4 total handshakes(because he can't shake hands with himself, he has 4 and not 5 total handshakes), and then the 2nd person will have 3 total handshakes (you wouldn't say 4 handshakes because you've already included the handshake between person 1 & person 2 when calculating the first person's number of shakes) and so on for the remaining 3 people. On paper the math would look like this: 4+3+2+1=10 Alternatively: Each person shakes hands with 4 others so the answer looks like 5x4 = 20; However, in Fred shaking with 4 others, he shakes with Charlie, similarly, in Charlie shaking with 4 others he shakes with Fred. Thus the Fred-Charlie handshake has been counted twice (once by Fred, once by Charlie), as have all the handshakes, thus the answer is: 5x4 / 2 = 10.
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.
Six people met and shook hands with one another How many Handshakes were there?
6*5/2 = 15
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.
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 if 6 people?
If six people meet there are fifteen handshakes.
If ten people are at a party and they all exchange handshakes how many hand shakes were exchanged?
If that happens you have to times ninexten and the answer would be 90 handshakes
How many handshakes would there be if 100 people shook hands?
200? D:
If ten people met at a party and they all exchanged handshakes how many handshakes were exchanged?
107 unique handshakes will be exchanged
How many handshakes are there if 100 people all shake hands?
4950 handshakes, that is the definite answer
If there had been 10 people at the meeting how many handshakes would there have been?
There would have been 45 handshakes among 10 people at a meeting. This can be calculated using the formula n(n-1)/2, where n represents the number of people.
How many handshakes would there be if four people shook hands with one another once?
6
How many handshakes At a business meeting of five people every person shakes hands with every other person one time. How many total handshakes occur?
In a meeting with five people, each person shakes hands with every other person exactly once. The total number of handshakes can be calculated using the formula for combinations: ( \binom{n}{2} = \frac{n(n-1)}{2} ), where ( n ) is the number of people. For five people, this gives ( \binom{5}{2} = \frac{5 \times 4}{2} = 10 ). Therefore, there are a total of 10 handshakes.
If there were 28 handshakes how many people?
8
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.
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 between 192 people?
381
