| 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 of 25C4. |
| a. | | 10000 |
| b. | | 12650 |
| c. | | 12000 |
| d. | | 14000 |
| e. | | 400
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| 3. | 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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| 4. | 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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| 5. | 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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| 6. | 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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| 7. | 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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| 8. | 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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| 9. | 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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| 10. | 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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| 11. | 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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| 12. | 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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