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A cricket 11 is to be selected out of...

A cricket 11 is to be selected out of 14 players of whom 5 are bowlers . The number of ways in which this can be done so as to include atleast 3 bowlers is

A

`""^(9)C_8xx ""^(5)C_(3)+""^(9)C_(7)xx""^(5)C_(4)+""^(9)C_(6)xx""^(5)C_(5)`

B

`""^(9)C_6xx ""^(5)C_(3)+""^(9)C_(4)xx""^(5)C_(2)+""^(9)C_(5)xx""^(5)C_(3)`

C

`""^(9)C_5xx ""^(5)C_(3)+""^(9)C_(3)xx""^(5)C_(2)+""^(9)C_(4)xx""^(5)C_(2)`

D

`""^(9)C_3xx ""^(5)C_(4)+""^(9)C_(5)xx""^(5)C_(3)+""^(9)C_(3)xx""^(5)C_(4)`

Text Solution

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-PERMUTATIONS & COMBINATIONS-EXERCISE 1B (COMBINATIONS )
  1. From 6 gentlmen and 4 ladies a committee of 5 is to be formed, Th...

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  2. A student is to answer 10 out 13 questions in an examination such ...

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  3. A cricket 11 is to be selected out of 14 players of whom 5 are ...

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  4. A cricket club consists of 16 members of which only 6 can bowl...

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  5. A committee of 5 is to be formed from 6 boys and 5 girls . T...

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  6. Out of 8 boys and 5 girls a committee of 6 . The number of way...

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  7. A cricket term of 11 players is to formed from 16 players inc...

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  8. For a cricket trem people from one class and 8 people from ano...

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  9. Acommittee of 12 members is to formed from 9 women and 8 men ...

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  10. In how many can 4 scholarships be distributed among 6 M.P.C .,...

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  11. A student has to answer 10 out of 13 questions in an examinatio...

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  12. A candidate is required to answer 6 out of 10 questions which a...

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  13. A candiate is required to answer 7 questions out of 12 questio...

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  14. A candidate is required to answer 6 question at least one questio...

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  15. A candidate is required to answer 6 questions by choosing at least one...

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  16. How many combinations can be formed out of 8 counters marked 1,2...

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  17. a man has 7 relatives , 4 women and 3 men . His wife also ha...

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  18. The number of ways that a committee consisting of 5 men and 3 ...

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  19. A committee of 6 is chosen from 10 men and 7 and women so as c...

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  20. A party of 6 is to the formed from 10 boys and 7 girls so as ...

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