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Permutation and Combination
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Permutation and Combination
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25 Questions

1. In how many different ways can the letters of the word TRUST be arranged ?
2. 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 ?
3. In how many different ways can be letters of the word SOFTWARE be arranged in such a way that the vowels always come together?
4. 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 ways this can bedone if atleast 5 women have to be included in a committee ?
5. In how many different ways can the letters of the word 'PADDLED' 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. In how many different ways can the letters of the word -˜BANKING-™ be arranged ?
8. 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 ?
9. A committee of 3 members is to be formed out of 3 men and 4 women. In how many different ways can it be done so that at least one member is a woman ?
10. In how many different ways canthe letters of the word -˜ THERAPY' be arranged so that the vowels never come together?
11. 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 ?
12. In a group of 6 boys and 4 girls 4 children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
13. In how many different ways can the letters of the word -˜LEASE-™ be arranged?
14. In how many different ways can the letters of the word TOTAL be arranged ?
15. In how many different ways can the letters of the word -˜MIRACLE-™ be arranged?
16. In how many different ways can the letters of the word -˜PRAISE-™ be arranged ?
17. 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 ?
18. In how many different ways canthe letters of the word JUDGE be arranged in such a way that the vowels always come together?
19. A dinner party is to be fixed for a group of 100 persons. In this party - 50 persons do not prefer fish - 60 prefer chicken and 10 do not prefer either chicken or fish. Find the number of people who prefer both fish and chicken.
20. In how many different ways can the letters of the word -˜PEANUT be arranged ?
21. 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 - the Committee should consist of 2 students - 2 teachers and 1 sports coach ?
22. In how many different ways can the letters of the word -˜PRIDE-™ be arranged ?
23. In how many different ways can the letters of the word RUMOUR be arranged ?
24. 9.4 boys and three girls are to be seated in a row in such a way that no two boys sit adjacent to each other. In how many different ways can it be done ?
25. In how many different ways canthe letters of the word DRASTIC be arranged in such a way that the vowels always come together ?

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