MATHS

2008-04-27 1:36 am
The 8 people at a party shook hands exactly once with each of the others
before the ninth person arrived.The ninth person then shook hands with some of these 8 people.A total of 32 handshakes took place.With how many people
did the ninth person shake hands?
(A)3 (B)4 (C)5 (D)6 (e)7

回答 (1)

2008-04-27 1:55 am
✔ 最佳答案
Ans: (B) 4

for the initial 8 people, all of them shook hand with any others, therefore the number of shocking is 7+6+5+4+3+2+1 = 28

Since first people need to shook hand with other 7 people, the second one need to shock with other 6 people while he had already shock with the first people, etc.

number of shocking by the ninth people is 32-28 = 4


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