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Show that the number of ways in which n ...

Show that the number of ways in which n books may be arranged on a shelf so that two particular books shall not be together is `(n-2)(n-1)!`

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CHHAYA PUBLICATION-PERMUTATION AND COMBINATION -EXERCISE 7 A ( Short Answer Type Questions )
  1. In how many ways can the letters of the words STRANGE be arranged so ...

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  2. Find how many arrangements can be formed with the letters in the word ...

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  3. Show that the number of ways in which n books may be arranged on a she...

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  4. In how many ways 3 boys and 5 girls can be arranged in a row so that a...

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  5. In how many ways can 4 boys and 3 girls be arranged in a row so that n...

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  6. How many arrangements can be made with all the letters of the word VE...

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  7. If none of the digits 2,4,5,7,8,0 be repeated , how many different num...

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  8. How many numbers lying between 3000 and 4000 can be formed with the di...

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  9. If none of the digits 3,5,7,8,9 be repeated , how many different numbe...

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  10. How many numbers of 4 - digit greater than 6,000 can be formed with th...

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  11. How many numbers of 5 digits can be formed with the digits 0,2,5,6,7 w...

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  12. How many odd numbers of 5 significant digits can be formed with the di...

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  13. In how many ways can 5 commerce and 4 science students be arranged in ...

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  14. In how many ways can 5 first year students and 3 second year students ...

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  15. In how many of the permutations of 12 things taken 3 at time will one...

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  16. In how many of the permutations of 12 things taken 6 at a time will 3 ...

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  17. In how many different ways can the letters of the word FOOTBALL be a...

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  18. How many different arrangements are possible with the letters of the w...

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  19. How many diffferent words can be formed taking all the letters in the ...

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  20. How many arrangements can be made out of the letters of the word COMMI...

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