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How many words can be formed out of the letters of the word ‘ARTICLE’ so that vowels may occupy even places ?

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MODERN PUBLICATION-PERMUTATIONS AND COMBINATIONS-EXERCISE
  1. How many 3-letter words can be made using the letters of the word ‘ORI...

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

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  3. How many words can be formed out of the letters of the word ‘ARTICLE’ ...

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  4. In how many ways can the letters of the word ‘PENCIL’ be arranged so t...

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  5. In how many ways can 5 children be arranged in a line such that : two ...

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  6. In how many ways can 5 girls be seated in a row so that two girls Ridh...

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  7. Four books, one each in Chemistry, Physics, Biology and Mathematics, a...

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  8. How many signals can be made by hoisting 5 flags of different colours ...

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  9. How many different 4-digit numbers can he formed from the digits 2, 3,...

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  10. How many different 4-digit numbers can he formed from the digits 2, 3,...

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  11. How many different 4-digit numbers can he formed from the digits 2, 3,...

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  12. How many numbers greater than 40000 can be formed using the digits 1,2...

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  13. How many odd numbers greater than 80000 can be formed using the digits...

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  14. A teacher wants to arrange 5 students on the platform such that the bo...

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  15. When a group photograph in taken, all the seven teachers should be in ...

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  16. In an examination hall, there are four rows of chairs. Each row has 8 ...

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  17. Find the number of permutations of 8 things, taken 3 at a time, in whi...

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  18. Find the number of permutations of 8 things, taken 3 at a time, in whi...

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  19. Find the number of permutations of 12 things, taken 6 at a time, in wh...

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  20. Find the number of permutations of 12 things, taken 6 at a time, in wh...

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