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If .^(n+r)P(2)=110and .^(n-r)P(2)=20, f...

If `.^(n+r)P_(2)=110and .^(n-r)P_(2)=20`, find n and r.

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CHHAYA PUBLICATION-PERMUTATION AND COMBINATION -EXERCISE 7 A ( Short Answer Type Questions )
  1. If .^(n+r)P(2)=110and .^(n-r)P(2)=20, find n and r.

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  2. In how many ways can the letter of the word LOGARITHM be arranged ?how...

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  3. How many diffirent arrangements of the letter of the word BENGAL can b...

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  4. In how many ways can the letters of the words STRANGE be arranged so ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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