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In a plane there are 37 straight lines, ...

In a plane there are 37 straight lines, of which 13 pass through the point A and 11 pass through the point B. Besides, no three lines pass through one point, no line passes through both points A and B, and no two are parallel. Find the number of points of intersection of the straight lines.

A

a. 535

B

b. 525

C

c. 235

D

d. 355

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ARIHANT SSC-PERMUTATIONS & COMBINATIONS -INTRODUCTORY EXERCISE -(19.5 )
  1. Find the number of diagonals in a decagon.

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  2. Find the number of diagonals in an n-sided polygon.

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  3. A polygon has 54 diagonals. The number of sides in the polygon is:

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  4. Find the number if triangle that can be formed by joining the...

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  5. Find the number of triangle formed by joining 12 different poin...

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  6. Answer these questions based on the following informations Two paralle...

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  7. There are 3 books of mathematics, 4 of science and 5 of literature. Ho...

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  8. if 20 straight line be drawn in a plane , no two of them bei...

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  9. Find the number of different straight lines obtained by joining n poin...

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  10. There are n points in a plane out of these points no three are in the ...

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  11. There are n points in a plane no three of which are in the same straig...

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  12. If m parallel lines in a plane are intersected by a family of n parall...

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  13. In a plane there are 37 straight lines, of which 13 pass through the p...

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  15. Find the number of ways of selecting 4 letters from the word EXAMINATI...

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  16. How many words can be formed by using 4 letters at a time out of the l...

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  17. In how many ways can 3 ladies and 3 gentlemen be seated around a ro...

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  18. Eighteen guests have to be seated half on each side of a long table. F...

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  19. There are 4 different letters and 4 addressed envelopes. In how many w...

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  20. There are 5 letters and 5 addressed envelopes.The number of ways in wh...

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