(f) Twenty-five students attend a class reunion and shake hands with each other. 2 If no student shakes hands with the same person twice, explain why

[Hiva]

(f) Twenty-five students attend a class reunion and shake hands with each other. 2 If no student shakes hands with the same person twice, explain why two
students will have shaken the same number of hands.

 

[Deleted member 4993]

(f) Twenty-five students attend a class reunion and shake hands with each other. 2 If no student shakes hands with the same person twice, explain why two students will have shaken the same number of hands.

Please review your problem statement and correct it as needed. I cannot understand the problem. Please post the exact problem as it was given to you.
Please show us what you have tried and exactly where you are stuck.

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Please share your work/thoughts about this assignment.

 

[Dr.Peterson]

Have you learned about the pigeonhole principle?

Even if not, consider how many different numbers of hands any one person might have shaken.

There may also be a little interpretation issue we may have to discuss, depending on the work you show.

 

[pka]

(f) Twenty-five students attend a class reunion and shake hands with each other. 2 If no student shakes hands with the same person twice, explain why two students will have shaken the same number of hands.

It is important to realize that one does NOT shake hands with ones self. So what is the maximum number of handshakes anyone in the group may have?
If no one has the maximum number does that mean that someone has no(zero) handshakes? WHY?
Can you apply the pigeonhole principle?