加拿大的数学排列组合问题--扑克牌各位大侠麻烦把答案和过程都写出来,最近做这种题头都大了,我现在还是不怎么熟练,简直气死我了CARDPROBLEMS:1)Howmany5-cardpokerhandscanbedealt,eachhavingexac

Question

加拿大的数学排列组合问题--扑克牌
各位大侠麻烦把答案和过程都写出来,最近做这种题头都大了,我现在还是不怎么熟练,简直气死我了
CARD PROBLEMS:
1) How many 5-card poker hands can be dealt,each having exactly 2 aces
2) how mnany poker hands have at least one queen?
3) how many poker hands have exactly 2 pairs?
4) how many poker hands have exactly one pair?
5) how many different 13 card bridge hands can be dealt containing exactly 5 spades?
6) how many different bridge hands have exactly 2 six-card suits?
7) how many bridge hands can have all of the spades?
8) how many bridge hands can have exactly four spades and exactly five diamonds?
9) how many bridge hands have a singleton(one card) spade and exactly two doubleton suits(two cards of each suit)
10) how many bridge hands have a 6-card suit,a 5-card suit.as well as 2-card suit-- which must include the ace of that suit
11) how many bridge hands have a 5-card suit that must contain the ace of that suit,a 4-card suit,and a void(no cards of a suit)
12) how many bridge hands have exactly two 5-cards suits and a void so that the remaining suit has a run of 3 cards?
13) how many bridge hands contain 4 aces,4 kings,4 queens,and one other card?
14) how many bridge hands have the king of spades and at least one diamond?
15) how many bridge hands contain 3 aces and exactly one two-of-a-kind.
名词：
POKER－HANDS：5张牌
BRIDGE HANDS- 13张牌
EXACTLY:正好
PAIR:对
SUIT:花色
SPADES,DIAMOND,HEART,CLUB:黑桃,方快,红桃,梅花
VOID:某种花色不能存在
RUN OF 3 CARDS:3张连牌(Q,K,A 包括再内)
CONTAIN:包括,有

Answer 1

1）13 aces,52 cards ------ 13C2 * 39C3
2) poker hands has 5 cards
indirect method=all the combinations - have NO queen = 52C5 - (52-4)C5
3) two pairs:13C2 * 4C2 * 4C2 * 11C1
4) 13C1 * 4C2 * 12C4
5) 13C5 * 39C8
太多题了吧也,就帮到这里了