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In how many ways can the letters of the word PERMUTATIONS be arranged if the vowels are all together?

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In how many ways can the letters of the word PERMUTATIONS be arranged if the there are always 4 letters between P and S?

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PSEB-PERMUTATIONS AND COMBINATIONS-EXERCISE
  1. In how many of the distinct permutations of the letters in MISSISSIPPI...

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  2. In how many ways can the letters of the word PERMUTATIONS be arranged ...

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  3. In how many ways can the letters of the word PERMUTATIONS be arranged ...

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  4. In how many ways can the letters of the word PERMUTATIONS be arranged ...

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  5. If "^nC8 = "^nC2 , find "^nC2 .

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  6. Determine n if "^(2n)C3 : "^nC3 =12:1

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  7. Determine n if "^(2n)C3 : "^nC3 = 11 : 1

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  8. How many chords can be drawn through 21 points on a circle?

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  9. In how many ways can a team of 3 boys and 3 girls be selected from 5 b...

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  10. Find the number of ways of selecting 9 balls from 6 red balls, 5 white...

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  11. Determine the number of 5 card combinations out of a deck of 52 cards ...

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  12. In how many ways can one select a cricket team of eleven from 17 playe...

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  13. A bag contains 5 black and 6 red balls. Determine the number of ways i...

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  14. In how many ways can a student choose a programme of 5 courses if 9 co...

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  15. How many words, with or without meaning, each of 2 vowels and 3 conson...

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  16. How many words, with or without meaning, can be formed using all the l...

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  17. A committee of 7 has to be formed from 9 boys and 4 girls. In how many...

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  18. A committee of 7 has to be formed from 9 boys and 4 girls. In how many...

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  19. A committee of 7 has to be formed from 9 boys and 4 girls. In how many...

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  20. If the different permutations of all the letter of the word EXAMINATIO...

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