In how many ways can 8 Pakistanis and, 4 American and 4 Englishmen can be seated in a row so that all person of the same nationality sit together ?

In how many ways can 8 Pakistanis and, 4 American and 4 Englishmen can be seated in a row so that all person of the same nationality sit together ?

کتنے طریقوں سے 8 پاکستانیوں اور 4 امریکی اور 4 انگریزوں کو ایک قطار میں بٹھایا جا سکتا ہے تاکہ ایک ہی قومیت کے تمام افراد ایک ساتھ بیٹھ سکیں؟
Explanation

Taking all person of same nationality as one person, then we will have only three people.

These three person can be arranged themselves in 3! Ways.

8 Indians can be arranged themselves in 8! Way.

4 American can be arranged themselves in 4! Ways.

4 Englishman can be arranged themselves in 4! Ways.

Hence, required number of ways = 3! 8! 4! 4! Ways.