Question

Shaking Hands in a Group Chris and his son were among four father-and-son pairs who gathered to...

Shaking Hands in a Group Chris and his son were among four father-and-son pairs who gathered to trade baseball cards. As each person arrived, he shook hands with anyone he had not known previously. Each person ended up making a different number of new acquaintances (0 – 6), except Chris and his son, who each met the same number of people. How many hands did Chris shake?

Given that:

Consider the number of people with whom chris shakes his hand be N

Now, Chris Heister and his son were among four father-and-son pairs.

Each person shook hands with the person he has not known previously.

Next, each one of them shook hands with a different number of people except Chris and his son

The number of people Chris shook hands with can be determined as follows.

Since eye, one of them shook hands with  a different number of people except Chris son who shook hand with the same number of people, thus chris and his son shook hands with odd number of people.

Thus, Chris and his son shook hand with three people.

Hence, the number of people chris shook his hand with is equal to 3

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