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rahul has a list of 24 friends he wishes some of them in such a manner that he can enjoy maximum number of parties but in each party the number of friends be same and each party must have different set of persons.the no. of parties that rahul can enjoy?

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an examinee is required to answer 6 questions out of 12 questions which are divided into two groups each containing six questions and he is not permitted to answer more than four questions from any group.in how many ways he can answer the 6 questions? 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.the no. of points of intersection of the straight lines.