Math, asked by suryabanerjee077, 1 year ago

if 15 person handshake with eatchouther then how many person handshake ?

Answers

Answered by madmax29

its simple ur answer is 15*14 =210

suryabanerjee077: option 105,120,135 or 165

bharatdetha: 105 is correct ans.

suryabanerjee077: give me a process?

bharatdetha: choose 2 person out of 15 and they will handshake and to select 2 person out of 15 = 15c2 = 105

suryabanerjee077: what means of of 15c2?

bharatdetha: combination 15c2 which is (15!)/(2! * 13!)

suryabanerjee077: Ok thank you

Answered by suhrutha21

formula for number of handshakes in a group of n people

$= \frac{n(n - 1)}{2} \\ here \: n = 15 \\ = \frac{15 \times 14}{2} \\ = \frac{210}{2} \\ = 105$

therefore if 15 people handshake among themselves then 105 handshakes are possible

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