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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.

A. True
B. False

User Simmo
by
6.1k points

1 Answer

2 votes

Answer:

B. False

Explanation:

You want to know if it is true that when each of seven persons in a group shakes hands with each of the other six persons, a total of forty-two handshakes occurs.

Handshakes

The count of 42 handshakes includes every one of 7 shaking hands with each of the remaining 6, without regard to whether they met before.

The count will include A shaking hands with B, and B shaking hands with A. That handshake will be counted twice, so the number 42 overstates the actual number of handshakes by a factor of 2.

It is false that there will be 42 handshakes. (There will be only 21.)

User Darma
by
7.2k points
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