At a party , everyone shook hands with everybody else. There were 66 handshakes . How many people were there in the party ?
Created: 6 years ago |
Updated: 3 years ago
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Let the number of people be x
For a handshake we need 2 people so selecting 2 person form x can be done in xC2 ways.
Therefore xC2 = 66
x!/(x - 2)!2! = 66
x(x - 1)/2 = 66
x(x - 1) = 132
Solving this we get x = 12
For a handshake we need 2 people so selecting 2 person form x can be done in xC2 ways.
Therefore xC2 = 66
x!/(x - 2)!2! = 66
x(x - 1)/2 = 66
x(x - 1) = 132
Solving this we get x = 12
Md Azizur Rahman
Founder of Satt
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