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Permutations and Combinations - Data Intensity 1 Multiple Questions and Answers.
| 21. | In how many different ways can the letters of the word ‘MATHEMATICS’ be arranged so that the vowels always come together? | ||
| A. | 10080 | ||
| B. | 4989600 | ||
| C. | 120960 | ||
| D. | None of these | ||
| 22. | How many 4-letter words with or without meaning, can be formed out of the letters of the word, ‘LOGARITHMS’, if repetition of letters is not allowed? | ||
| A. | 40 | ||
| B. | 400 | ||
| C. | 5040 | ||
| D. | 2520 | ||
| 23. | In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women? | ||
| A. | 63 | ||
| B. | 90 | ||
| C. | 126 | ||
| D. | 45 | ||
| 24. | In how many different ways can four books A, B, C and D be arranged one above another in a vertical order such that the books A and B are never in continuous position? | ||
| A. | 9 | ||
| B. | 12 | ||
| C. | 14 | ||
| D. | 18 | ||
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