數學需簡單解題過程，謝謝！
2012-05-17 2:03 am
33. There are 12 Cantonese songs, 8 Mandarin songs and 5 English songs stored in the MP3 player of Katherine. If 6 songs are selected to play, how many playing sequences are there in each of the following cases ?(a) Selecting any 6 songs.(b) Selecting 2 songs from each language.
回答 (1)
2012-05-17 2:18 am
✔ 最佳答案
33a)12 + 8 + 5 = 25 songs total.So there are 25P6 = 127512000 playing sequences selecting any 6 among 25 songs.b)For Cantonese songs , there are 12C2 choices ,
for Mandarin songs , there are 8C2 choices ,
for English songs , there are 5C2 choices.
12C2 * 8C2 * 5C2 = 66 * 28 * 10 = 18480 choices total ,
for each choice , there are 6P6 = 720 arrangments.
So there are 18480 * 720 = 13305600 playing sequences for this case.
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