| Coverage : The GMAT Practice Test - Math - Permutation has been designed to test the important concepts related to permutation and combination. The test covers important topics like evaluating factorial of a number, calculating the number of words formed by using certain letters, finding the number of ways people can be seated in a circle, grouping and rearranging consonents and vowels etc. |
| 1. | Evaluate the following: 45!/42! |
| a. | | 1200 |
| b. | | 1500 |
| c. | | 85140 |
| d. | | 300 |
| e. | | 200
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| 2. | Evaluate the following: 80!/78! |
| a. | | 6320 |
| b. | | 2000 |
| c. | | 5140 |
| d. | | 3200 |
| e. | | 2500
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| 3. | Evaluate the following: 76!/75! |
| a. | | 220 |
| b. | | 76 |
| c. | | 404 |
| d. | | 622 |
| e. | | 25
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| 4. | Evaluate the following: 82!/80! |
| a. | | 6642 |
| b. | | 6200 |
| c. | | 1411 |
| d. | | 1032 |
| e. | | 1225
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| 5. | Find the value of of 25C4. |
| a. | | 10000 |
| b. | | 12650 |
| c. | | 12000 |
| d. | | 14000 |
| e. | | 400
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| 6. | Find the value of 30C30. |
| a. | | 30 |
| b. | | 90 |
| c. | | 1442 |
| d. | | 900 |
| e. | | 1
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| 7. | Find the value of 70P2. |
| a. | | 1 |
| b. | | 10 |
| c. | | 4830 |
| d. | | 4400 |
| e. | | 140
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| 8. | Find the value of of 8P8. |
| a. | | 12000 |
| b. | | 14000 |
| c. | | 41000 |
| d. | | 40320 |
| e. | | 44000
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| 9. | How many words can be formed by using all letters of the word, 'DELHI'? |
| a. | | 120 |
| b. | | 140 |
| c. | | 145 |
| d. | | 125 |
| e. | | 160
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| 10. | How many words can be formed by using all letters of the word, 'BOMBAY'? |
| a. | | 360 |
| b. | | 400 |
| c. | | 450 |
| d. | | 125 |
| e. | | 720
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| 11. | In how many different ways can the letters of the word, 'ELECTRICITY' be arranged? |
| a. | | 20000 |
| b. | | 10000 |
| c. | | 500 |
| d. | | 2494800 |
| e. | | 120
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| 12. | In how many different ways can the letters of the word, 'PETER' be arranged? |
| a. | | 20 |
| b. | | 10 |
| c. | | 50 |
| d. | | 40 |
| e. | | 60
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| 13. | In how many different ways can the letters of the word, 'WORLD' be arranged? |
| a. | | 80 |
| b. | | 50 |
| c. | | 120 |
| d. | | 100 |
| e. | | 160
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| 14. | In how many different ways can the letters of the word, 'CRICKET' be arranged? |
| a. | | 5040 |
| b. | | 5020 |
| c. | | 1200 |
| d. | | 2520 |
| e. | | 500
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| 15. | In how many different ways can the letters of the word, 'MACHINE' be arranged? |
| a. | | 8000 |
| b. | | 5040 |
| c. | | 5760 |
| d. | | 1000 |
| e. | | 1600
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| 16. | How many different words can be formed by using all the letters of the word,'FUNCTION'? |
| a. | | 1080 |
| b. | | 5020 |
| c. | | 7120 |
| d. | | 5400 |
| e. | | 20160
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| 17. | In how many different ways can the letters of the word, 'VISUAL' be arranged so that, the vowels may occupy only the odd position? |
| a. | | 36 |
| b. | | 26 |
| c. | | 86 |
| d. | | 24 |
| e. | | 61
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| 18. | In how many different ways can the letters of the word, 'EXPLAIN' be arranged so that, the vowels may occupy only the odd position? |
| a. | | 120 |
| b. | | 250 |
| c. | | 200 |
| d. | | 500 |
| e. | | 576
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| 19. | In how many different ways can the letters of the word, 'DETAIL' be arranged so that, the vowels may occupy only the odd position? |
| a. | | 20 |
| b. | | 36 |
| c. | | 25 |
| d. | | 52 |
| e. | | 16
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| 20. | In how many different ways can the letters of the word, 'ENGLAND' be arranged so that, the vowels always come together? |
| a. | | 220 |
| b. | | 6100 |
| c. | | 5250 |
| d. | | 720 |
| e. | | 4160
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| 21. | In how many different ways can the letters of the word, 'PARIS' be arranged so that the vowels always come together? |
| a. | | 48 |
| b. | | 10 |
| c. | | 25 |
| d. | | 20 |
| e. | | 16
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| 22. | In how many different ways can the letters of the word, 'RATIO' be arranged so that, the vowels always come together? |
| a. | | 20 |
| b. | | 00 |
| c. | | 36 |
| d. | | 60 |
| e. | | 62
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| 23. | In how many different ways can the letters of the word, 'COMPUTER' be arranged so that, the vowels always come together? |
| a. | | 2020 |
| b. | | 4320 |
| c. | | 1200 |
| d. | | 1060 |
| e. | | 6210
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| 24. | In how many different ways can the letters of the word, 'FOLDER' be arranged so that, the vowels always come together? |
| a. | | 240 |
| b. | | 100 |
| c. | | 120 |
| d. | | 160 |
| e. | | 162
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| 25. | In how many different ways can the letters of the word, 'SOFTWARE' be arranged so that, the vowels always come together? |
| a. | | 1020 |
| b. | | 4000 |
| c. | | 1172 |
| d. | | 4320 |
| e. | | 3262
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| 26. | In how many different ways can the letters of the word, 'MOUSE' be arranged so that, the vowels always come together? |
| a. | | 36 |
| b. | | 12 |
| c. | | 46 |
| d. | | 48 |
| e. | | 20
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| 27. | In how many different ways can the letters of the word, 'NUMBER' be arranged so that, the vowels always come together? |
| a. | | 180 |
| b. | | 420 |
| c. | | 500 |
| d. | | 240 |
| e. | | 200
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| 28. | What would be the count of all the possible five letter words? |
| a. | | 25 |
| b. | | 5+5 |
| c. | | 20 |
| d. | | 5*5 |
| e. | | 26^5
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| 29. | What would be the count of all the possible eight letter words? |
| a. | | 8+8 |
| b. | | 8*8 |
| c. | | 26^8 |
| d. | | 8 |
| e. | | 28
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| 30. | I have 4 two dollar coins, 4 one dollar coins and 2 fifty cent coins. How many different sums can I pay with these coins? |
| a. | | 25 |
| b. | | 20 |
| c. | | 6 |
| d. | | 5 |
| e. | | 10
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| 31. | You have 6 two dollar coins, 6 one dollar coins and 3 fifty cent coins. How many different sums can you pay with these coins? |
| a. | | 15 |
| b. | | 50 |
| c. | | 60 |
| d. | | 38 |
| e. | | 100
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| 32. | In how many different ways can the letters of the word, 'QUESTION' be arranged so that, the vowels always come together? |
| a. | | 2880 |
| b. | | 8420 |
| c. | | 6500 |
| d. | | 1240 |
| e. | | 1200
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| 33. | In how many different ways can the letters of the word, 'PROBLEM' be arranged so that, the vowels always come together? |
| a. | | 2180 |
| b. | | 3420 |
| c. | | 1500 |
| d. | | 1440 |
| e. | | 3200
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| 34. | In how many different ways can the letters of the word, 'MASTER' be arranged in such a way, that the vowels may occupy only the odd positions? |
| a. | | 280 |
| b. | | 420 |
| c. | | 144 |
| d. | | 440 |
| e. | | 200
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| 35. | In how many ways, can a group of 5 boys and 6 girls be made out of a total of 8 boys and 10 girls? |
| a. | | 10000 |
| b. | | 11760 |
| c. | | 23000 |
| d. | | 56000 |
| e. | | 45000
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| 36. | In how many ways, can a group of 2 boys and 4 girls be made out of a total of 5 boys and 7 girls? |
| a. | | 350 |
| b. | | 160 |
| c. | | 120 |
| d. | | 233 |
| e. | | 461
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| 37. | In how many ways, can a group of 2 boys and 3 girls be made out of a total of 6 boys and 4 girls? |
| a. | | 6000 |
| b. | | 600 |
| c. | | 60 |
| d. | | 6 |
| e. | | 1
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| 38. | In how many ways, can a group of 6 boys and 3 girls be made out of a total of 8 boys and 5 girls? |
| a. | | 200 |
| b. | | 400 |
| c. | | 460 |
| d. | | 280 |
| e. | | 110
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| 39. | In how many ways, can a group of 2 boys and 2 girls be made out of a total of 4 boys and 4 girls? |
| a. | | 18 |
| b. | | 36 |
| c. | | 12 |
| d. | | 60 |
| e. | | 10
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| 40. | In how many ways, can a group of 2 boys and 3 girls be made out of a total of 7 boys and 9 girls? |
| a. | | 1668 |
| b. | | 1852 |
| c. | | 1200 |
| d. | | 1764 |
| e. | | 1463
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| 41. | Out of 9 consonants and 7 vowels, how many words of 3 consonants and 3 vowels can be formed? |
| a. | | 1229110 |
| b. | | 2116800 |
| c. | | 1106900 |
| d. | | 1233600 |
| e. | | 122500
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| 42. | Out of 6 consonants and 4 vowels, how many words of 4 consonants and 2 vowels can be formed? |
| a. | | 25896 |
| b. | | 65242 |
| c. | | 10200 |
| d. | | 45200 |
| e. | | 64800
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| 43. | Out of 8 consonants and 4 vowels, how many words of 5 consonants and 2 vowels can be formed? |
| a. | | 236900 |
| b. | | 8956200 |
| c. | | 1693440 |
| d. | | 7865320 |
| e. | | 4525650
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| 44. | Out of 4 consonants and 3 vowels, how many words of 2 consonants and 1 vowels can be formed? |
| a. | | 24 |
| b. | | 10 |
| c. | | 110 |
| d. | | 108 |
| e. | | 112
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| 45. | Out of 5 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed? |
| a. | | 1200 |
| b. | | 7200 |
| c. | | 8400 |
| d. | | 8200 |
| e. | | 4500
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| 46. | A pencil box contains 2 red, 4 white and 5 black balls. In how many ways can 4 balls be drawn from the box, if at least one white ball is to be included in the draw? |
| a. | | 625 |
| b. | | 492 |
| c. | | 200 |
| d. | | 295 |
| e. | | 120
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| 47. | A pencil box contains 2 red, 3 white and 3 black balls. In how many ways can 2 balls be drawn from the box, if at least one white ball is to be included in the draw? |
| a. | | 18 |
| b. | | 15 |
| c. | | 16 |
| d. | | 34 |
| e. | | 20
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| 48. | A pencil box contains 3 red, 2 white and 3 black balls. In how many ways can 2 balls be drawn from the box, if at least one white ball is to be included in the draw? |
| a. | | 15 |
| b. | | 12 |
| c. | | 13 |
| d. | | 10 |
| e. | | 20
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| 49. | A pencil box contains 3 red, 4 white and 3 black balls. In how many ways can 3 balls be drawn from the box, if at least one red ball is to be included in the draw? |
| a. | | 80 |
| b. | | 50 |
| c. | | 55 |
| d. | | 85 |
| e. | | 65
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