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

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

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A N EXCEL PUBLICATION-PERMUTATIONS AND COMBINATIONS-QUESTION BANK
  1. How many permutations are there of the 11 letters in MISSISSIPPI al...

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

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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 arrange...

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  5. Complete the following table

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  6. Given the digits 1,2,3 and 8 How many one digit numbers can be formed ...

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  7. Given the digits 1,2,3 and 8 How many two digit numbers can be formed ...

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  8. Given the digits 1,2,3 and 8 How many three digit numbers can be forme...

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  9. Given the digits 1,2,3 and 8 How many four digit numbers can be formed...

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  10. Given the digits 1,2,3 and 8 How many numbers can be formed from the g...

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  11. Given the digits 1,2,3 and 8 If repetition of digits is not allowed, f...

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  12. How many 5-digit telephone numbers can be constructed using the digits...

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  13. Given the digits 0,1,2,3,4, 5,6,7, 8,9 Suppose Raju is asked to form 5...

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  14. Given the digits 3, 7, 6, 4 and 8. Seema is asked to form different nu...

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  15. Given the digits 3, 7, 6, 4 and 8. Seema is asked to form different nu...

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  16. Express (x+1)! interms of (x-1)!. Hence, solve the equation (x+1)! =1...

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  17. Express (2x+1)! in terms of (2x-1)!,(x+2)! in terms of (x-1)!.Hence,...

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  18. Write (2n)! =2n(2n-1)(2n-2) …3.2.1. Then combine the even factors and ...

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  19. Write (33)! = [32.16.8.4.2]. [33.31.30…3.1] Hence, prove that (33)! is...

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  20. Sumit goes to a movie. The cinema hall has two entrances and three exi...

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