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7 / 30Permutation and CombinationEasyQuantitative Aptitude

How many ways can 2 prizes be given to 8 students if no student gets more than one prize?

  1. 56

  2. 28

  3. 64

  4. 16

Show answer & explanation

Correct answer

56

Explanation

This is a permutation of 8 students taken 2 at a time: 8P2=8×7=56^{8}P_2 = 8 \times 7 = 56.

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  3. 3.How many 3-digit numbers can be formed using the digits 1, 2, 3, 4, 5 without repetition?
  4. 4.In how many ways can a committee of 3 men and 2 women be formed from 6 men and 5 women?
  5. 5.How many different ways can the letters of the word 'APPLE' be arranged?
  6. 6.In how many ways can 6 people be seated in a row if 2 specific people must sit together?
  7. 7.How many ways can 2 prizes be given to 8 students if no student gets more than one prize?
  8. 8.From a group of 7 boys and 4 girls, in how many ways can a team of 5 be selected if it must include exactly 2 girls?
  9. 9.How many 4-letter words can be formed from the letters of 'MONDAY' without repetition?
  10. 10.In how many ways can 3 different rings be worn on 4 fingers of a hand (one ring per finger)?
  11. 11.How many 4-digit numbers greater than 5000 can be formed using the digits 1, 2, 3, 4, 5, and 6 without repetition?
  12. 12.In how many ways can 5 boys and 3 girls be seated in a row such that no two girls sit together?
  13. 13.A committee of 5 members is to be formed from 6 men and 4 women.
  14. 14.How many ways can the letters of the word 'MISSISSIPPI' be arranged such that all S's are together?
  15. 15.Find the number of ways to distribute 10 identical toys among 4 children such that each child gets at least 2 toys.
  16. 16.A box contains 5 red, 4 blue, and 3 green balls.
  17. 17.How many 6-digit numbers can be formed using the digits 0,1,2,3,4,5 without repetition such that the number is divisible by 5?
  18. 18.In how many ways can 8 different books be divided into 4 groups of 2 books each?
  19. 19.A 5-digit number is formed using the digits 1 to 9 without repetition.
  20. 20.Find the number of ways to arrange the letters of the word 'ARRANGEMENT' such that the two R's are not together and the two E's are not…
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  24. 24.Find the number of ways to distribute 15 identical balls into 5 distinct boxes such that each box gets at least 2 balls and at most 5 balls.
  25. 25.How many 5-digit numbers can be formed using digits 0 through 9 such that the number is divisible by 3 and no digit repeats?
  26. 26.In how many ways can the letters of the word 'MISSISSIPPI' be arranged such that all I's are not together?
  27. 27.A bag contains 4 red, 5 blue, and 6 green marbles.
  28. 28.How many ways are there to seat 6 people around a circular table if two specific people must not sit next to each other?
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