If 25 lines are drawn in a plane such that no two of them are parallel and no three are concurrent, then in how many points do they intersect? Choose the correct choice from the following:
A) 2300
B) 600
C) 250
D) 300
E) none of these

Rationale: "1 st line - 0 points 2 nd line - new 1 point 3 td line - new 2 points + old 1 point 4 th line - new 3 points + old 2 + 1 points 5 th line - new 4 points + old 3 + 2 + 1 points n - th line - ( n - 1 ) points + ( n - 2 ) . . . . 3 + 2 + 1 therefore , s = 1 + 2 + 3 . . . ( n - 1 ) s = ( n - 1 ) n / 2 = 24 * 25 / 2 = 300 ans ; d"
Answer: D