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Inscribed circle and Line Choice (Posted on 2010-06-27) Difficulty: 3 of 5
(A) Out of 100 straight lines having respective lengths 1, 2, 3, ......, 99, 100; determine the total number of ways in which four straight lines may be chosen which will form a quadrilateral in which a circle may be inscribed.

(B) Out of 101 straight lines having respective lengths 1, 2, 3, ......, 99, 100, 101; determine the total number of ways in which four straight lines may be chosen which will form a quadrilateral in which a circle may be inscribed.

  Submitted by K Sengupta    
Rating: 5.0000 (1 votes)
Solution: (Hide)
(A) 79625
(B) 82075

For an explanation, refer to the solution submitted by Charlie in this location.
Also, refer to the rejoinder by Brian Smith in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionNo SubjectBrian Smith2016-02-02 11:17:12
Some Thoughtsre: start of analysis; computer finish (spoiler)Ady TZIDON2010-06-29 10:52:04
Solutionstart of analysis; computer finish (spoiler)Charlie2010-06-27 19:43:50
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