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How many permutations can be formed by t...

How many permutations can be formed by the letters of the word 'VOWELS', when
(i) there is no restriction on letters,
(ii) each word begins with O and ends with L,
(iv) all vowels come together,
(v) all consonants come together?

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The correct Answer is:
(i) 720 (ii) 120 (iii) 24 (iv) 240 (v) 144
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RS AGGARWAL-PERMUTATIONS-EXERCISE 8D
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  2. Ten students are participating in a race. In how many ways can the fir...

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  3. There are six periods in each working day of the school. In how many ...

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  4. In how many ways can 6 pictures be hung from 4 picture nails on a wall...

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

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  6. Find the number of different 4-letter words (may be meaningless) that ...

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  7. How many words can be formed from the letters of the word SUNDAY? How ...

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  8. How many words beginning with C and ending with Y can be formed by usi...

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  9. Find the number of permutations of the letters of the word 'ENGLISH'. ...

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  10. In how many ways can the letters of the word 'HEXAGON' be permuted? In...

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  11. How many words can be formed out of the letters of the word, ORIENTAL,...

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  12. In how many ways can the letters of the word FAILURE be arranged so ...

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  13. In how many arrangements of the word 'GOLDEN' will the vowels never o...

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  14. In how many different ways can the letters of the word MACHINE be a...

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  15. How many permutations can be formed by the letters of the word 'VOWELS...

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  16. How many numbers divisible by 5 and lying between 3000 and 4000 can be...

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  17. In an examination, there are 8 candidates out of which 3 candidates ha...

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  18. In how many ways can 5 children be arranged in a line such that (i) ...

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

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  20. Find the number of ways in which m boys and n boys and n girls may be ...

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