Question

In how many ways can 7 Indians, 5 Pakistanis and 6 Dutch be seated in a row so that all persons of the same nationally sit together ?

• A. 3!
• B. 7!5!6!
• C. 3!7!5!6!
• D. 18!

Answer 1

The correct option is C 3!7!5!6!

We have

$\to 7Indians$
$\to 5Pakistanisand$
$\to 6Dutch$
7 Indians can sit in 7!ways
5 Pakistanis can sit in 5! ways
6 Dutch can sit in 6! ways
Also they can sit together in 3! different ways
$7!\times 5!\times 6!\times 3!$