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hi, to those who are still confused with question # 12, i have come up with another way to sovle it.
for 3 letter codes, there are 6 different outcomes ----PPP,PPE,PPR,EEP,EER,PER. there is only one way to arrage codes with outcome of ppp, and there are 6 different ways of last outcome of PER, caculated by (3!). however, for the rest of three outcomes in the middle, we have duplications; therefore, we need to take it into account when arraging those outcomes. the way to do it is, for instance,from first glance, there are six possible way to arrage PPE, but P repeat twice, so,we need to take out those duplucations. ( 3!/2!), as a result, there is only 3 distinct outcome for PPE. we can do other two in the same way. the total number of way to form code is 1+3!+3*3!/2! =19. hope it helps... my QQ is 247376397, if any one of you want to discuss more QM, please feel free to contact me..   |
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