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Find how many arrangements can be made with the letters of the word ‘MATHEMATICS’ ? In how many of them : vowels do not occur together ?

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Find how many arrangements can be made with the letters of the word ‘MATHEMATICS’ ? In how many of them : vowels occur together?

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MODERN PUBLICATION-PERMUTATIONS AND COMBINATIONS-EXERCISE
  1. Find how many arrangements can be made with the letters of the word ‘M...

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  2. Find how many arrangements can be made with the letters of the word ‘M...

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  3. Find how many arrangements can be made with the letters of the word ‘M...

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

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

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

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  7. Four persons A, B, C and D are to be seated at a circular table. In ho...

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  8. There are 6 gentlemen and 5 ladies to dine at a round table. In how ma...

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  9. Four men and four women sit to dine at a round table. In how many ways...

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  10. In how many ways can 5 persons A, B,C, D and E sit around a circular t...

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  11. In how many ways can 5 persons A, B,C, D and E sit around a circular t...

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  12. How many different necklaces can be formed with 6 white and 5 red bead...

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  13. Find the number of ways in which n different beads can be arranged to ...

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  14. Find the number of ways in which n things of which r are alike, can be...

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  15. The Prime Ministers of 8 countries meet together to discuss a problem....

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  16. In how many ways can 8 girls be seated at a round table, provided Parv...

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  17. Evaluate the following : "^12C7.

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  18. Evaluate the following : "^10C8.

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  19. Evaluate the following : "^9C0.

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  20. Evaluate the following : "^50C47.

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