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Permutation and Combination
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Permutation and Combination
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25 Questions

1. Two girls and 4 boys are to be seated in a row in such a way that the girls do not sit together. In how many different ways can it be done?
2. In how many ways the letters of the word SACRED can be arranged so that vowels come together?
3. In how many different ways canthe numbers -˜256974-™ be arranged - using each digit only once in each arrangement - such that the digits 6 and 5 are at the extreme ends in each arrangement?
4. In how many different ways can the letters of the word -˜PRIDE-™ be arranged ?
5. In how many different ways can the letters of the word ATTEND be arranged ?
6. Out of 5 men and 3 women - a committee of 3 members is to be formed so that it has 1 woman and 2 men. In how many different ways can it be done ?
7. Directions : Study the given information carefully to answer the questions that follow.A committee of 6 teachers is to be formed out of 4 science teachers - 5 art teachers and 3 commerce teachers. In how many different ways can the committee be formed if - any teacher can be included in the committee ?
8. Arrange the letters of word AUCTION in such a way that the vowels always occur together. Find the number of ways?
9. In how many different ways can the letters of the word 'PADDLED' be arranged ?
10. In how many different ways canthe letters of the word DRASTIC be arranged in such a way that the vowels always come together ?
11. In how many different ways can the letters of the word -˜BANKING-™ be arranged ?
12. A school team has eight volleyball players. A fivemember team will be selected out of these eight players. How many different selections can be made ?
13. On a shelf three are 4 books on Economics - 3 books on Management and 4 books on Statistics. In how many different ways can the books be arranged so that the books on Economics are kept together?
14. In how many different ways can the letters of the word -˜AWARE-™ be arranged?
15. In how many different ways can the letters of the word -˜CANDIDATE-™ be arranged in such a way that the vowels always come together?
16. In how many different ways can the letters of the Word CORPORATION be arranged in such a way that the vowels always come together ?
17. How many different words can be formed with the letters of the word -˜ALLAHABAD-™ ?
18. Directions : Study the given information carefully to answer the questions that follow.A committee of 6 teachers is to be formed out of 4 science teachers - 5 art teachers and 3 commerce teachers. In how many different ways can the committee be formed if - two teachers from each stream are to be included ?
19. Directions : Read the following statement carefully to answer the given questions.A committee of 12 persons is to be formed from 9 women and 8 men. - In how many of these Commit-tees - the men are in majority ?
20. In how many different ways canthe letters of the word JUDGE be arranged in such a way that the vowels always come together?
21. Directions : Study the given information carefully to answer the questions that follow.A committee of 6 teachers is to be formed out of 4 science teachers - 5 art teachers and 3 commerce teachers. In how many different ways can the committee be formed if - no teacher from the commerce stream Is to be included ?
22. In how many different ways can the letters of the word -˜REPLACE-™ be arranged ?
23. In how many different ways can letters of the word SOFTWARE be arranged in such a way that the vowels always come together?
24. Directions: Study the following information carefully to answer the questions that follow :A committee of five members is to be formed out of 4 students - 3 teachers and 2 sports coaches. In how many ways can the committee be formed if - any five people can be selected ?
25. In how many different ways canthe letters of the. word -˜BLOAT -ING' be arranged ?.

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