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What is the correct answer?

4

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

A. 3! 4! 8! 4!

B. 4! 4!

C. 8! 4! 4!

D. 3! 8!

Correct Answer :

A. 3! 4! 8! 4!


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.

Related Questions

What is the correct answer?

4

A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?

A. 210

B. 1260

C. 10C6x6!

D. 10C6x6

What is the correct answer?

4

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

A. 3! 4! 8! 4!

B. 4! 4!

C. 8! 4! 4!

D. 3! 8!

What is the correct answer?

4

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

A. 756

B. 702

C. 720

D. 726

What is the correct answer?

4

How many Permutations of the letters of the word PIZZA are there?

A. 60

B. 120

C. 240

D. 480

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4

In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?

A. 159

B. 212

C. 201

D. 209

What is the correct answer?

4

In how many ways can 10 examination papers be arranged so that the best and the worst papers never come together?

A. 8*8!

B. 8*9!

C. 7*9!

D. 9*8!

What is the correct answer?

4

Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

A. 24000

B. 21300

C. 25200

D. 210