| 1. | Evaluate the following: 82!/80! |
| a. | | 6642 |
| b. | | 6200 |
| c. | | 1411 |
| d. | | 1032 |
| e. | | 1225
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| 2. | Find the value of 30C30. |
| a. | | 30 |
| b. | | 90 |
| c. | | 1442 |
| d. | | 900 |
| e. | | 1
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| 3. | Find the value of 70P2. |
| a. | | 1 |
| b. | | 10 |
| c. | | 4830 |
| d. | | 4400 |
| e. | | 140
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| 4. | 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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| 5. | 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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| 6. | 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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| 7. | 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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| 8. | 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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| 9. | 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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| 10. | 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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| 11. | 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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| 12. | 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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| 13. | 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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