Q2.Marks: +2.0UGC NET Paper 2: Computer Science 11 March 2023
Suppose you are married and you and your partner attend a party with three other married couples. Several handshakes took place. No one shook hands with himself (or herself) or with their partner, and no one shook hands with the same person more than once. After all hand shaking was completed, suppose you asked each person, including your partner, how many hands they had shaken. Each person gave a different answer. How many hands did your spouse shake?
1.1
2.2
3.3✓ Correct
4.4
Solution
The correct answer is option 3) 3
Key Points
You and your partner attended a party with three other married couples. This means there are a total of 2 (you and your partner) + 3 couples = 8 people at the party.
During the party, several handshakes took place. The following conditions were given:
No one shook hands with themselves.
No one shook hands with their partner.
No one shook hands with the same person more than once.
Since each handshake involves two people, the total number of handshakes in the group of 8 people would be (8 * 3) / 2 = 12. This is because each person shakes hands with three other people.
Now, let's consider your partner's handshakes. Since your partner can't shake hands with you, and there are only three other unique people for your partner to shake hands with, the answer is 3. Your spouse shook hands with three people at the party.