| 1. | Evaluate the following: 76!/75! |
| a. | | 220 |
| b. | | 76 |
| c. | | 404 |
| d. | | 622 |
| e. | | 25
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| 2. | 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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| 3. | 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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| 4. | 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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| 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. | 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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| 7. | 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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| 8. | 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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| 9. | 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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| 10. | 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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| 11. | 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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| 12. | 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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