When ten persons shake hands with one another | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) To find the number of handshakes,we need to choose $2$ persons out of $10$ to perform a handshake.This is a combination problem because the order

Vedclass · Accepted Answer

$45$

Vedclass · Answer

(D) To find the number of handshakes,we need to choose $2$ persons out of $10$ to perform a handshake.This is a combination problem because the order of the two people shaking hands does not matter.The formula for combinations is given by $^nC_r = \frac{n!}{r!(n-r)!}$.Here,$n = 10$ and $r = 2$.Number of ways $= ^{10}C_2 = \frac{10 	imes 9}{2 	imes 1} = 45$.Therefore,there are $45$ possible ways for ten persons to shake hands with one another.

When ten persons shake hands with one another,in how many ways is it possible?

Similar Questions

In how many ways can the letters of the word '$LEADER$' be arranged?

If $^nC_{12} = ^nC_6$,then $^nC_2 = $

The number of different words that can be formed from the letters of the word $SUCCESS$ in which the two $C$ are together but no two $S$ are together are:

If all the words,with or without meaning,are written using the letters of the word $QUEEN$ and are arranged as in an English dictionary,then the position of the word $QUEEN$ is (in $^{th}$)

There are $6$ men and $8$ women in a club. $A$ committee of $5$ people has to be formed. What will be the number of ways to select $5$ people if $2$ men and $3$ women are selected?

Vedclass Test Series

Exam Paper Generator

Online Exam Module