in Quantitative Aptitude edited by
722 views
0 votes
0 votes

What is the maximum number of the handshakes that can happen in the room with $5$ people in it?

  1. $15$
  2. $10$
  3. $6$
  4. $5$
in Quantitative Aptitude edited by
12.0k points
722 views

1 Answer

1 vote
1 vote
There are $5$ people in the room

No. of people involved in one handshake $= 2$

So, we will use combination over here to find the no. of possible handshakes $^nC_r = \frac{n!}{(n-r)!r!}.$

Here$,n = 5,r = 2$

Now, $^5C_2 = \frac{5!}{3!2!} = \frac{5.4.3!}{3!.2.1} = 10$

Hence the maximum number of distinct handshakes that can happen in the room with $5$ people in it is $10.$

So, the correct answer is $(B).$
12.0k points
Answer:

Related questions

Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true