Question

03
STANDARD QUANTITATIVE APTITUDE
21 people meet and shake hands. The maximum number of handshakes possible if there is to be no
cycle of handshakes is? (A cycle of handshakes is a sequence of people a1, a2.... ak such that the

Ned​

Answer 1

Answer:

Step-by-step explanation:

all you need to do is work out what the maximum number of handshakes is u do this by working out what the maximun number of handshakes is.

hope this helps

Answer 2

Answer:

210

Step-by-step explanation:

Given : Number of people= 21

To Find : The maximum number of handshakes possible if there is to be no  cycle of handshakes is?

Solution:

No. of people = 21

People involved in 1 handshake = 2

Now we will us combination to find the The maximum number of handshakes possible

Formula : $^nC_r=\frac{n!}{r!(n-r)!}$

n = 21

r = 2

Substitute the values

$^{21}C_2=\frac{21!}{2!(21-2)!}$

$^{21}C_2=210$

Hence The maximum number of handshakes possible if there is to be no  cycle of handshakes is 210