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In how many ways can 11 players be selec...

In how many ways can 11 players be selected from 14 players if
(i) a particular player is always included?
(ii) a particular player is never included?

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MAHAVEER PUBLICATION-PERMUTATIONS AND COMBINATIONS -QUESTION BANK
  1. If .^(n)C(r-1)=36, .^(n)C(r)=84 and .^(n)C(r+1)=126, find n and r.

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  2. How many ways 3 students can be selected from 50 students ?

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  3. In how many ways can 11 players be selected from 14 players if (i) a...

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  4. In how many ways can 11 players be selected from 14 players if (i) a...

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  5. Find the number of 4 letter words that can be formed from the letters ...

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  6. If "^nP3 = 336 find "^nC3

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  7. If "^nC5= ^nC12 find n.

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  8. Find value of "^8P5, ^6C3.

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  9. If "^17C5 = ^nC12 find n.

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  10. (i) If ""^(2n)C(3) : ""^(n)C(3)= 11 : 1, find n. (ii) If ""^(2...

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  11. 12points lie on a circle. How many cyclic quadrilaterals can be drawn ...

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  12. In a box there are 5 black pens,3 white pens and 4 red pens .In how ma...

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

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  14. How many arrangements of the letters of the word 'BENGALI' can be made...

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  15. How many arrangements of the letters of the word 'BENGALI' can be made...

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  16. Out of 9 girls and 13 boys how many different committees can be formed...

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  17. From 10 boys and 20 girls, a committee of 2 boys and 3 girls is to be ...

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  18. From 10 boys and 20 girls, a committee of 2 boys and 3 girls is to be ...

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  19. From 10 boys and 20 girls, a committee of 2 boys and 3 girls is to be ...

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  20. Find the value of if n if "^(n+1)P3 = 4^(n)P2

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