swerve1688 swerve1688

20-12-2022
Mathematics

Answered

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

Answer :

sqdancefan sqdancefan

20-12-2022

Answer:

B. False

Step-by-step 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.)

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