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A regular polygon of n sides is construc...

A regular polygon of n sides is constructed. No. of ways 3 vertices be selected so that no two vertices are consecutive is

A

`""^(n)C_(3)-n.(n-4)`

B

`""^(n)C_(3)-n-n(n-4)`

C

`""^(n)C_(3)+n-n(n-4)`

D

`""^(n)C_(3)-n.n.(""^((n-4))C_(2))`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-PERMUTATIONS & COMBINATIONS-EXERCISE-II
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  2. The number of triangles that can be formed with 10 points as vertices,...

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  3. A regular polygon of n sides is constructed. No. of ways 3 vertices be...

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  4. The number of triangle whose vertices are at the vertices of an ...

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  5. The maximum number of points of intersection of 8 circles is

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  6. The maximum number of points of intersection of 4 circles and 4 straig...

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  7. A regular polygon has 23 vertices and consequently 23 sides. The numbe...

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  8. Number of ways of selecting two squares having common side in a chess ...

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  9. Number of unit squares in a chess board is

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  10. In a plane there are two families of lines y = x+c, y=-x+c where ce{0,...

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  11. In a book-stall, there are 4 copies of one book, 5 copies of another a...

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  12. the number of products that can be formed with 10 prime numbers ...

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  13. In the intermediate examination a candidate has to pass in each ...

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  14. There are 10 lamps in a hall. Each one of them can be switched on inde...

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  15. A question paper has 5 questions. Each question has an alternative. Th...

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  16. Given 5 different green dyes, 4 different blue dyes, 3 different red d...

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  17. For any integer nge1, the number of positive divisors of n is denoted ...

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  18. Number of non-trivial divisors of 1512 is

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  19. Number of even divisors of 1600 is

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  20. If N denotes the set of all positive integers and if : NtoN is defined...

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