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Everybody in a room shakes hands with ...

Everybody in a room shakes hands with everybody else. The total number of shake hands is 66. The number of persons in the room is

A

11

B

12

C

10

D

6

Text Solution

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The correct Answer is:
B
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SURA PUBLICATION-COMBINATORICS AND MATHEMATICAL INDUCTION -Exercise 4.5
  1. If .^(n+5) P(n +1) = ((11(n-1))/2) .^(n +3) P(n) then the value of n...

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  2. The product of r consecutive positive integers is divisible by

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  3. The number of five digit telephone numbers having at least one of ...

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  4. If .^(a^(2-a)) C(2) = a^(2-a) C(4) then the value of a is

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  5. There are 10 points in a plane and 4 of them are collinear. The nu...

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  6. The number of ways in which a host lady invite 8 people for a par...

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  7. The number of parallelograms that can be formed from a set of four...

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  8. Everybody in a room shakes hands with everybody else. The total n...

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  9. Number of sides of a polygon having 44 diagonals is

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  10. If 10 lines are drawn in a plane such that no two of them are parallel...

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  11. In a plane are 10 points are there out of which 4 points are coll...

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  12. In .^(2n)C(3) :.^(n)C(3) = 11 : 1 then n is

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  13. .^((n-1)C(r) + ^((n-1)) C((r-1)) is

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  14. The number of ways of choosing 5 cards out of a deck of 52 which ...

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  15. The number of rectangles that a chessboard has

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  16. The number of 10 digit number that can be written by using the digit...

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  17. If P stands for P(r) then the sum of the series 1 + P(1) + 2P(2)...

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  18. The product of first n odd natural numbers equals:

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  19. If ''C(4),''C(5),''C(6) are in AP then value of n is

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  20. 1 +3 + 5 + 7 + …. 17 is equal to

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