Question

In how many ways can $8$ Indians, $4$ Americans and $4$ Englishmen can be seated in a row so that all the persons of same nationality sit together?

• A. $3!4!8!4!$
• B. $3!8!$
• C. $4{!}^2$
• D. $8!4!4!$

Answer 1

The correct option is A $3!4!8!4!$

Total indians $=8$

TotalAmericans $=4$

TotalEnglishmen $=4$

Total number of possiblities as three sets $=3!$

Total number of possiblities as individuals $=3!4!8!4!$