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(a) Two children and three adults are to be put into a seating arrangement. (a.1) How many seating arrangements may be done assuming that they are arranged in a line? (a.2) How many seating arrangements may be done assuming that they are arranged in a line, with the condition that children must not sit together? (a.3) How many seating arrangements may be done assuming that they are arranged in a circle? (b) Ten points lie in a plane such that no three points are collinear (b.1) How many lines can be drawn using these points? (b.2) How many triangles can be drawn using these points as vertices