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If there are n people who shake hands with each other exactly once, it can be observed that there are n x (n-1) handshakes.
Since each handshake is counted twice here,we divide this by 2.
Therefore, total number of handshakes is n(n-1)/2.
In the given problem,
Given: Total handshakes =66
i.e n(n-1)/2=66
n2-n =132
n2-n-132=0
(n-12)(n+11)=0
n =12 or n= -11
As handshakes cannot be negative we discard 11 .
Therefore answer is , 12 people.
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If there 28 handshakes how many people are at the party?
29 People including You.
How many people are at a party with 741 handshakes if everyone shakes once?
371
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 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
If there are 8 people at a party and every person shakes hands with everyone else at the party how many handshakes will there be?
There will be 28 handshakes. If you ask each person how many handshakes they had they will tell you 7 making 7 x 8 = 56 handshakes in all. But every hand involves two people, so every handshake has been counted twice, thus there are 56 / 2 = 28 handshakes in all.
If ten people met at a party and they all exchanged handshakes how many handshakes were exchanged?
107 unique handshakes will be exchanged
If there 28 handshakes how many people are at the party?
29 People including You.
there are 3 people at a party if each person mis shake hands with every person at the party exactly once how many handshakes will there be?
So, there will be 3 handshakes among the 3 people at the party.
How many people are at a party with 741 handshakes if everyone shakes once?
371
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 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
If there are 8 people at a party and every person shakes hands with everyone else at the party how many handshakes will there be?
There will be 28 handshakes. If you ask each person how many handshakes they had they will tell you 7 making 7 x 8 = 56 handshakes in all. But every hand involves two people, so every handshake has been counted twice, thus there are 56 / 2 = 28 handshakes in all.
If at a party there are a total of 741 handshakes and each person shakes hands with everyone else at the party exactly once how many people are at the party?
38
How many handshakes if 6 people?
If six people meet there are fifteen handshakes.
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 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?
15
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.
