combination problem

2014-03-06 5:25 am
One drawer have 15 blue socks and 18 white socks.
Another drawer have 19 blue socks and 18 white socks.
Suppose all the socks with different patterns.
Two socks are now selected from each drawer.
Find the total number of possible ways,if

1. there is no restriction
2. it must contain two pairs of socks where each pair must be of the same colour
only.

回答 (3)

2014-03-06 7:08 am
✔ 最佳答案
1. the total number=(15+18)C2 x (19+18)C2=351648

第1題由於無限制,比較易,唔多解釋。

2,首先要知道咩情況先可以做成 2對藍同2對白同埋4藍/4白
(題目要求 2對同樣色,只有抽出黎既4對2藍2白OR4藍OR4白有機會)

15B18W 我叫呢個叫d1(drawer 1),19B18W我叫呢個d2(drawer 2)

4藍/4白既組合
CASE 1: D1抽到0B2W,D2抽到0B2W(18C2 x 18C2)
CASE 2: D1抽到2B0W,D2抽到2B0W(15C2 x 19C2)
呢個情況既組合即係2個加埋=18C2 x 18C2+15C2 x 19C2=41364

2藍2白組合
case 1: d1抽到0B2W,d2抽到2B0W (18C2 x 19C2)
case 2: d1同d2抽到1B1W (15x18)x(19x18)
case 3: d1抽到2B0W,d2抽到0B2W (15C2 x 18C2)
呢個情況既組合即係3個case加埋
=18C2 x 19C2+15x18x19x18+15C2 x 18C2
=134568

總組合=134568+41364=175932

2014-03-05 23:09:12 補充:
= =可以睇有無人答緊咁架咩

同埋我想問 點解我近排 答親問題都比人話違規架= =
比人扣左150....

2014-03-05 23:11:29 補充:
其實第1條直接除2都得....不過呢個解釋就廢小小...


唔係1樣就唔同- -所以1半1半

2014-03-05 23:12:04 補充:
(唔好意思,好似唔可以除2) 諗真d再答- -

2014-03-05 23:50:31 補充:
http://imageshack.com/a/img594/3249/6hlz.png


有個係打中文字.... 另一個我打左a n 都叫?
2014-03-06 7:36 am
貓Sir, 你怎看到的?
2014-03-06 7:01 am
Seems that someone is answering you...

Then I'd wait and sponsor. =)

2014-03-05 23:41:48 補充:
回 LUNG. 和 那些年:

其實我係以為知識長答緊,因為頭先佢岩岩答緊一題,我以為佢會答埋呢題。
所以我係估錯左~ 不過誤打誤撞兩位以為我洞識天機~ ^__^

另外,有可能 LUNG. 你不小心打了一些字眼觸動系統,我前陣子幫Yoyo測試過:
http://tw.knowledge.yahoo.com/question/question?qid=1614022500188
看意見欄。

2014-03-06 00:37:01 補充:
係好怪~

因為唔知咩字唔准打~~


收錄日期: 2021-04-18 14:37:59
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20140305000051KK00158

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