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Maximum number of points of intersection of 6 straight lines is :

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Important Questions on Permutations & Combinations

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Maximum number of points into which 3 circles and 3 lines intersect is ;
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Eight identical coins are arranged in a row. The total number of ways in which the number of heads is equal to the number of tails, is :
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Two straight lines intersect at a point O. Points A1,A2,A3,A4,A5,,Am are taken on one line and points B1,B2,B3,,Bn on the other. If the point O is not included, the number of triangles that can be drawn using these points as vertices, is :
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How many different nine-digit numbers can be formed from the digits of the number 223355888 by rearrangement of the digits so that the odd digits occupy even places?
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Eight straight lines are drawn in the plane such that no two lines are parallel and no three lines are concurrent. The number of parts into which these lines divide the plane, is :
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Number of divisors of the form   4n+2(n,0) of the integer 240 is

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The number of rectangles excluding squares from a rectangle of size of 12×8 is :
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Two lines intersect at O. Points A1,A2,,An are taken on one of them and B1,B2,,Bn on the other the number of triangles that can be drawn with the help of these (2n+1) points is :