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 performed, How many choices were available to them

(i) if the programmes can be performed in any order?

(ii) if the programmes of the same kind were perfomed at a stretch?

(iii) if the programmes of the same kind were perfomed at a stretch and considering the order of performance of the programmes of the same kind?