Five cards are drawn at random from a standard deck of 52 playing cards, calculate the number of ways to have:
a) 3 diamonds and 2 clubs
b) exactly one pair of kings(no other pairs is included)
c) exactly one pair
d) 3 aces and 2 kings
e) a full house(3 of a king and 1 pair)
F.6 maths(7)
2010-03-31 7:32 am
回答 (2)
2010-03-31 7:53 am
✔ 最佳答案
a)(13C3)(13C2) = 286 x 78 = 22308 ways
b)
Ways of 2 kings x Ways of other 3 cards
(4C2) x (12C3)(4C1) = 6 x 880 = 5280 ways
c)
Ways of 1 pair x Ways of other 3 cards
(13)(4C2) x (12C3)(4C1) = 78 x 880 = 68640 ways
d)
(4C3)(4C2) = 24 ways
e)
(4C3) x (12)(4C2) = 288 ways
2010-04-04 3:13 am
收錄日期: 2021-04-21 22:14:26
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https://hk.answers.yahoo.com/question/index?qid=20100330000051KK03737