In a school annual day function a variety programme was organised. It was planned that there would be 3 short plays, 6 recitals and 4 dance programmes. However, the chief guest invited for the function took much longer time than expected to finish his speech. To finish in time, it was decided that only 2 short plays, 4 recitals and 3 dance programmes would be perfomed, How many choices were available to them ? (a) if the programmes can be perfomed in any order ? (b) if the programmes of the same kind were perfomed at a stretch? (c) if the programmes of the same kind were perfomed at a strech and considering the order of performance of the programmes of the same kind ?