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A tea party is arranged for 16 people am...

A tea party is arranged for 16 people among two sides of a long table with 8 chairs on each side. Four men wish to sit on one particular side and two on the other side. The number of ways they can be seated is

A

`""^(6)C_(8).8!`

B

`""^(10)C_(4).8!`

C

`""^(16)C_(4).(8!)^(2)`

D

`""^(10)C_(4).^(6)C_(6).(8!)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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NEW JOYTHI PUBLICATION-PERMUTATIONS AND COMBINATIONS-EXERCISE
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  2. The number of ways in which a couple can sit around a table with 6 gue...

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  3. A tea party is arranged for 16 people among two sides of a long table ...

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  4. There are 3 copies each of 4 different books. The number of ways in wh...

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  5. The number of ways in which we can choose two positive integers from 1...

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  6. The number of positive integral solutions of the equation xyz = 30 is

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  7. The total number of ways of selecting 3 balls from a bag containing 7 ...

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  8. If a set of m paralled lines intersect another set of n parallel lines...

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  9. The number of 3 digit number locks having none of their digits repeate...

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  10. m' men and 'n' women are to be seated in a row so that no two women si...

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  11. There are 'n' different books and 'p' copies of each. The number of wa...

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  12. ""^(15)C(0)=

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  13. If ""^(18)C(15)+2(""^(18)C(16))+""^(17)C(16)+1=""^(n)C(3), then n =

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  14. If m=""^(n)C(2),"then """^(m)C(2)=

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  15. The number of arrangements of the letters of the word BHARAT taking 3 ...

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  16. The number of all possible squares in a chess board is

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  17. The number of ways in which 7 persons can address a meeting so that ou...

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  18. The number of ways in which 10 candidates A(1),A(2),A(3),.........,A(1...

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  19. The number of ways in which 11 denoted pencils can be distributed amon...

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  20. The sides BC, CA, AB of a triangle ABC have 3, 4 and 5 interior points...

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