排列组合是组合学最基本的概念。GMAT数学中有种题型就是排列组合题,这类题的解法有与其他题型不同的方法,GMAT特别为大家总结出一种最便捷的解GMAT数学题中排列组合题的方法,供大家参考。排列组合的中心问题是研究给定要求的排列和组合可能出现的情况总数。
首先我们把GMAT排列组合数学题型分为两类:可区分的叫做排列 abc P33;不可区分的叫做组合 aaa C33。用下列步骤来作一切的排列组合题:
先考虑是否要分情况考虑
先计算有限制或数目多的字母,再计算无限制,数目少的字母
在计算中永远先考虑组合:先分配,再如何排
例子:
8封相同的信,扔进4个不同的邮筒,要求每个邮筒至少有一封信,问有多少种扔法?
第一步:需要分类考虑既然信是一样的,邮筒不一样,则只考虑4个不同邮筒会出现信的可能性。
第二步:计算数目多或者限制多的字母,由于信一样就不考虑信而考虑邮筒,从下面的几个情况几列式看出每次都从限制多的条件开始作。先选择,再考虑排列。
5个情况如下:
a. 5 1 1 1:4个邮筒中取一个邮筒放5封信其余的3个各放一个的分法:C=4
b.4 2 1 1:同上,一个邮筒4封信,其余三个中间一个有两封,两个有一封:C C=12
c. 3 3 1 1: C =6
d. 3 2 2 1: C C = 12
e. 2 2 2 2 :1
4+12+6+12+1=35种放法
看起来很简单吧?其实GMAT数学排列组合题就是这么简单,不过掌握方法后经常地训练才是最终掌握这类题型的最稳妥的方法,贵在多练。最后,GMAT预祝大家在GMAT考试中取得好成绩!
下一篇: 考试辅导:1/7GMAT数学机经
London apologizes for DPRK flag mix-up
One little decision altered nation's diving history
New Jersey guy Christie has double-edged appeal
Swimmers told to avoid jellyfish after tragedy
'Food will cost more' due to US drought
Tibetan-language phones welcomed
Foreign firms 'will benefit from new industries'
Ancient villages welcome investors
US mourns death of week-old panda
Accident raises concern over trucks
Panetta's Asia-Pacific trip aids strategic pivot
'New law' focuses on work permits
Beijing flood death toll hits 77
Lawyers calling for reform of laojiao system
Confessions from beyond the grave
King of the rings doesn't come easy
Major hacking syndicate cracked, police say
Blackout hits more than 300 million in India
UK stores try to get Chinese lovers in the mood
2 dead, 19 injured in Toronto shooting
Syria claims gains in Aleppo
12 people die when van crashes into back of parked truck in Sichuan
Silver and bronze are golden too
Wealthy Chinese charter flights to watch Olympics
Military dismisses islands war fear
Morsi says Cairo, Washington can be 'real friends'
Organizers brace for social-media nightmares sure to come
Romney picks Paul Ryan for running mate
Shenzhen ponders bad-behavior law
Five in court over sale of teen's kidney