If 3 sisters and 8 other girls are together p | vedclass

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

Question

(D) Total number of girls $= 3 + 8 = 11$. Number of ways to arrange $11$ girls around a circle is $(11 - 1)! = 10!$. To find the number of ways where

Vedclass · Accepted Answer

$8 ! 	imes 84$

Vedclass · Answer

(D) Total number of girls $= 3 + 8 = 11$. Number of ways to arrange $11$ girls around a circle is $(11 - 1)! = 10!$. To find the number of ways where the $3$ sisters are $NOT$ seated together,we use the complement method: Total arrangements $-$ Arrangements where $3$ sisters are together. Treating the $3$ sisters as a single unit,we have $8 + 1 = 9$ units to arrange in a circle,which can be done in $(9 - 1)! = 8!$ ways. The $3$ sisters can be arranged among themselves in $3!$ ways. So,arrangements where $3$ sisters are together $= 8! 	imes 3!$. Required number of ways $= 10! - (8! 	imes 3!) = 10! - (8! 	imes 6)$. $= 8! 	imes (10 	imes 9 - 6) = 8! 	imes (90 - 6) = 8! 	imes 84$.

If $3$ sisters and $8$ other girls are together playing a game,then the number of ways in which all the girls are seated around a circle such that the three sisters are not seated together,is

Similar Questions

The number of ways in which $5$ boys and $4$ girls can sit around a circular table such that no two girls sit together is:

The number of ways in which $5$ male and $2$ female members of a committee can be seated around a round table so that the two female members are not seated together is:

In how many ways can $7$ women and $7$ men be seated around a circular table such that each woman is seated next to a man?

If seven women and seven men are to be seated around a circular table such that there is a man on either side of every woman,then the number of seating arrangements is

$8$ teachers and $4$ students are sitting around a circular table at random. Then,the probability that no two students sit together is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module