Aptitude
November 30, 2023GATE 2011
November 30, 2023Question 6519 – NIELIT Scientist -B CS (22-07-17)
What is the maximum number of the handshakes that can happen in the room with 5 people in it?
Correct Answer: B
Question 1 Explanation:
Let’s suppose there is ‘n’ number of persons are there and each one suppose to do an handshake with ‘n-1 persons.
So, Total number of handshakes is = n(n-1) (with repetition)
But we need without repetition means distant handshakes (A→ B, B → A) so we divided by ‘2’
= n(n-1) / 2
= 5(5-1) / 2
= 10
So, Total number of handshakes is = n(n-1) (with repetition)
But we need without repetition means distant handshakes (A→ B, B → A) so we divided by ‘2’
= n(n-1) / 2
= 5(5-1) / 2
= 10
15
10
6
5