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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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Verified by Experts

The correct Answer is:
(i) 286 (ii) 78
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NAGEEN PRAKASHAN-PERMUTATION AND COMBINATION -Exercise F
  1. If .^(16)C(r) = .^(16)C(r+6), then find .^(5)C(r).

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  2. Determine n if (i) ^2n C2:^n C2=12 :1 (ii) ^2n C3:^n C3=11 :1

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  3. Determine n if (i) ^2n C2:^n C2=12 :1 (ii) ^2n C3:^n C3=11 :1

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  4. Determine n if (i) ^2n C2:^n C2=12 :1 (ii) ^2n C3:^n C3=11 :1

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  5. If .^(15)C(r): .^(15)C(r-1) = 1:5, then find r.

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  6. If .^(n-1)P3 :^(n+1)P3 = 5 : 12, find n.

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  7. If .^(n)P(r) = 720 and .^(n)C(r) = 120, then find r. = (5 xx 4 xx 3...

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  8. If ^(n+1)C(r+1): ^nCr: ^(n-1)C(r-1)=11:6:2 find the values of n and r.

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  9. If .^(n)C(4),.^(n)C(5), .^(n)C(6) are in A.P., then find the value of ...

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  10. If alpha=\ \ ^m C2,\ then find the value of \ ^(alpha)C2dot

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  11. In how many ways can a team of 11 players be selected from 14 players?

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  12. In how many ways 2 persons can be selected from 4 persons?

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  13. In how many ways can a person invites his 2 or more than 2 friends out...

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

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  15. In how many ways can 5 subjects be chosen from 9 subjects if three sub...

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  16. In how many ways can 4 books be chosen from 12 books if (i) there is...

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  17. There are 5 black and 6 red bills in a bag. Find one number of ways in...

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  18. In 25 cricket players, there are 10 batsmen, 9 bowlers, 4 all-rounders...

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  19. There are 8 math's books and 6 science books in a almirah. In how many...

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  20. There are 3 parts A,B and C in a question paper of Math's, which inclu...

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