probability

2010-09-09 8:25 pm
the world series in baseball continues until either the american league team or the national league team wins four games. how many different orders are possible (eg ANNAAA means the american league team wins in six games) if the series goes

a)4 games?
ans:2
b)5 games?
ans:8
c)6games?
20
d)7 games?
40

回答 (1)

2010-09-10 4:44 am
✔ 最佳答案
a)Any series are formed by (AAAA) or (NNNN)= 2 possible b)Any series are formed by (AAAN)+A or (NNNA)+N ,4! / [(3!)(1!)] + 4! / [(3!)(1!)]= 8 possible
c)Any series are formed by (AAANN)+A or (NNNAA)+N ,5! / [(3!)(2!)] + 5! / [(3!)(2!)] = 20 possible
d)(Any series are formed by AAANNN) + (A or N)6! / [(3!)(3!)] x 2= 40 possible


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