²é¿´: 199  |  »Ø¸´: 5
µ±Ç°Ö÷ÌâÒѾ­´æµµ¡£
µ±Ç°Ö»ÏÔʾÂú×ãÖ¸¶¨Ìõ¼þµÄ»ØÌû£¬µã»÷ÕâÀï²é¿´±¾»°ÌâµÄËùÓлØÌû

Ahkin1999

Òø³æ (ÕýʽдÊÖ)

[½»Á÷] ¹ØÓÚÅÅÁÐ×éºÏµÄ¡£¡£¡£

Question:
The number of permutations of the four letters a,b,c and d is 24, but what is the number of permutations if we take only two of the four letters or, as it is usually put, if we take the four letters two at a time?
Solution:
We have two positions to fill,with four choices for the first and then three choices for the second. Therefore, the number of permutations is 4*3=12.

ÊDz»ÊÇÎÒûÓÐÀí½â¡°as it is usually put, if we take the four letters two at a time£¿¡±µÄÒâ˼£¬ÎÒÈÏΪÕâ¸ö´ð°¸½ö½öÊǽâ¾öÁË¡° but what is the number of permutations if we take only two of the four letters¡±¶øÃ»Óнâ¾öºóÃæµÄÎÊÌâ¡£ÒòΪÎÒÈÏÎªÇ°ÃæÒ»ÎÊÊÇ£ºÖ»ÄÃÁ½´Î£¬Ã¿´ÎÒ»¸ö£¬ÔòΪ12¡£¶øºóÃæÔòÊÇ£ºÄÃÁ½´Î£¬Ã¿´ÎÄÃÁ½¸ö£¬ÔòӦΪ6¡£Îҵķ­Òë´íÁËô£¿

[ Last edited by zzgyb on 2009-1-17 at 09:27 ]
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

micropuss

½ð³æ (СÓÐÃûÆø)

¿´À´ÎÒûǮÄÃÁË£¡
ÖÇÖÜÍòÎ×ÔÇ¿²»Ï¢£¡
5Â¥2008-12-18 23:08:36
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
²é¿´È«²¿ 6 ¸ö»Ø´ð

maqi

ľ³æ (ÕýʽдÊÖ)

¡ï ¡ï ¡ï ¡ï ¡ï
Ahkin1999(½ð±Ò+5,VIP+0):¸øÁËÎÒÆôʾ£¬ÏÖÔÚÎÒÖªµÀ´ð°¸ÁË~¶àл
ºÇºÇ  ¸çÃÇ~~ ÄãÀí½â´íÁËŶ~~Ò»¹²¾ÍÒ»Îʰ¡~~   ¾ÍÊÇÎÊÄãËĸö×Öĸһ´ÎÄÃÁ½¸ö  Óм¸ÖÖÅÅÁÐô~~¾ÍÊÇ  4*3=12 ô  ¿´¼û¶¹ºÅºóÃæÓиöorÁËû  ºóÁ½¾äÒâ˼ÊÇÒ»ÑùµÄ²»¹ýÊÇÁ½ÖÖ±íʾ·½Ê½°ÕÁË~ÄãÏëµÄÌ«¶àÁË~~ÕâÓ¦¸ÃÊdzõÖеÄÌâ°É~~
²»»¼ÎÞ룬»¼ËùÒÔÁ¢£»²»»¼Äª¼ºÖª£¬ÇóΪ¿ÉÖªÒ²¡£
2Â¥2008-12-17 23:36:12
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

Ahkin1999

Òø³æ (ÕýʽдÊÖ)

ÒýÓûØÌû:
Originally posted by maqi at 2008-12-17 23:36:
ºÇºÇ  ¸çÃÇ~~ ÄãÀí½â´íÁËŶ~~Ò»¹²¾ÍÒ»Îʰ¡~~   ¾ÍÊÇÎÊÄãËĸö×Öĸһ´ÎÄÃÁ½¸ö  Óм¸ÖÖÅÅÁÐô~~¾ÍÊÇ  4*3=12 ô  ¿´¼û¶¹ºÅºóÃæÓиöorÁËû  ºóÁ½¾äÒâ˼ÊÇÒ»ÑùµÄ²»¹ýÊÇÁ½ÖÖ±íʾ·½Ê½°ÕÁË~ÄãÏëµÄÌ«¶àÁË~~ÕâÓ¦¸ÃÊdzõÖеÄÌâ ...

ÊǵÄ
Õâ¸ö¾ÍÊǸö¼òµ¥µÄÅÅÁÐ×éºÏÌâ
¹Ø¼ü¾ÍÊÇ·­ÒëÓÐÎÊÌâ
ÆäʵÓÉÓÚÓÐÁËÒ»¾ä"as it is usually put" ºóÃæÒ»¾ä¸úÇ°ÃæÒ»¾äµÄÒâ˼¾ÍÓ¦¸ÃÊÇÒ»ÑùµÄ£¬µ«ÊÇÎÒÕâÑù·­Òë×ÜÊǾõµÃ±ðŤ¡£Èç¹û°´ÕÕÄãÕâÖÖ·­ÒëµÄ»°£¬¡°Ò»´ÎÄÃÁ½¸ö¡±£¬ÄÇôÎÒÕâ´ÎÄõÄÕâÁ½¸öÓ¦¸Ã¾ÍÓë˳ÐòÎÞ¹ØÁ˰¡£¬ÄÇôҲӦ¸ÃÊÇ6°¡¡£ÕâÑùµÄ·­ÒëÃ²ËÆ»¹ÊÇÓеãÎÊÌâÁË¡£

[ Last edited by Ahkin1999 on 2008-12-18 at 10:23 ]
3Â¥2008-12-18 10:20:14
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

rosyfancy

Òø³æ (СÓÐÃûÆø)

ȷʵÊǰ¡.´ó¼ÒµÄ½â´ð¶¼±È½ÏÕýÈ·°¡.·­Òë²ÅÊǹؼü,Êýѧ¶ÔÓÚÖйúÈËÀ´Ëµ,Ö»ÊÇÖÐСѧˮƽ.
³õÀ´¹óµØ,Ï£Íû´ó¼Ò¶à¶à¹ØÕÕ.
4Â¥2008-12-18 21:11:35
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
×î¾ßÈËÆøÈÈÌûÍÆ¼ö [²é¿´È«²¿] ×÷Õß »Ø/¿´ ×îºó·¢±í
[¿¼ÑÐ] 0703»¯Ñ§µ÷¼Á +10 ÄÝÄÝninicgb 2026-03-15 14/700 2026-03-19 22:59 by ѧԱ8dgXkO
[¿¼ÑÐ] 085600²ÄÁÏÓ뻯¹¤ Çóµ÷¼Á +14 enenenhui 2026-03-13 15/750 2026-03-19 21:53 by allen-yin
[¿¼ÑÐ] 288Çóµ÷¼Á£¬Ò»Ö¾Ô¸»ªÄÏÀí¹¤´óѧ071005 +5 ioodiiij 2026-03-17 5/250 2026-03-19 18:22 by zcl123
[¿¼ÑÐ] ¡¾¿¼Ñе÷¼Á¡¿»¯Ñ§×¨Òµ 281·Ö£¬Ò»Ö¾Ô¸ËÄ´¨´óѧ£¬³ÏÐÄÇóµ÷¼Á +5 ³Ô³Ô³Ô²ÅÓÐÒâÒå 2026-03-19 5/250 2026-03-19 16:18 by 30660438
[¿¼ÑÐ] Ò»Ö¾Ô¸Äϲý´óѧ£¬327·Ö£¬²ÄÁÏÓ뻯¹¤085600 +3 Ncdx123456 2026-03-19 3/150 2026-03-19 13:18 by houyaoxu
[¿¼ÑÐ] 328Çóµ÷¼Á£¬Ó¢ÓïÁù¼¶551£¬ÓпÆÑо­Àú +4 ÉúÎ﹤³Ìµ÷¼Á 2026-03-16 12/600 2026-03-19 11:10 by ÉúÎ﹤³Ìµ÷¼Á
[¿¼ÑÐ] 085410È˹¤ÖÇÄÜר˶317Çóµ÷¼Á£¨0854¶¼¿ÉÒÔ£© +3 xbxudjdn 2026-03-18 3/150 2026-03-18 22:14 by zhq0425
[¿¼ÑÐ] 330Çóµ÷¼Á +3 С²Ä»¯±¾¿Æ 2026-03-18 3/150 2026-03-18 21:55 by ÎÞи¿É»÷111
[¿¼ÑÐ] 0703»¯Ñ§Çóµ÷¼Á ×Ü·Ö331 +3 ZY-05 2026-03-13 3/150 2026-03-18 10:58 by macy2011
[¿¼ÑÐ] »·¾³¹¤³Ìµ÷¼Á +8 ´ó¿Édigkids 2026-03-16 8/400 2026-03-18 09:36 by zhukairuo
[¿¼ÑÐ] ¿¼ÑÐÇóµ÷¼Á +3 éÙËÌ. 2026-03-17 4/200 2026-03-17 21:43 by ÓÐÖ»ÀêÅ«
[¿¼ÑÐ] 326Çóµ÷¼Á +5 Éϰ¶µÄСÆÏ 2026-03-15 6/300 2026-03-17 17:26 by ruiyingmiao
[¿¼ÑÐ] ²ÄÁÏר˶326Çóµ÷¼Á +6 Ä«ìÏæ¦Ý· 2026-03-15 7/350 2026-03-17 17:10 by ruiyingmiao
[¿¼ÑÐ] Ò»Ö¾Ô¸ËÕÖÝ´óѧ²ÄÁϹ¤³Ì£¨085601£©×¨Ë¶ÓпÆÑо­ÀúÈýÏî¹ú½±Á½¸öʵÓÃÐÍרÀûÒ»ÏîÊ¡¼¶Á¢Ïî +6 ´ó»ðɽС»ðɽ 2026-03-16 8/400 2026-03-17 15:05 by ÎÞи¿É»÷111
[¿¼ÑÐ] ²ÄÁϹ¤³Ìר˶274Ò»Ö¾Ô¸211Çóµ÷¼Á +6 Ñ¦ÔÆÅô 2026-03-15 6/300 2026-03-17 11:05 by ѧԱh26Tkc
[¿¼ÑÐ] Ò»Ö¾Ô¸ÄϾ©´óѧ£¬080500²ÄÁÏ¿ÆÑ§Ó빤³Ì£¬µ÷¼Á +4 Jy? 2026-03-16 4/200 2026-03-17 11:02 by gaoqiong
[¿¼ÑÐ] 0703 ÎïÀí»¯Ñ§µ÷¼Á +3 ÎÒ¿ÉÒÔÉϰ¶µÄ¶Ô 2026-03-13 5/250 2026-03-16 10:50 by ÎÒ¿ÉÒÔÉϰ¶µÄ¶ÔÂ
[¿¼ÑÐ] 070305Çóµ÷¼Á +3 mlpqaz03 2026-03-14 4/200 2026-03-15 11:04 by peike
[¿¼ÑÐ] Ò»Ö¾Ô¸¹þ¹¤´ó²ÄÁÏ324·ÖÇóµ÷¼Á +5 ãÆÐñ¶« 2026-03-14 5/250 2026-03-14 14:53 by ľ¹Ï¸à
[¿¼ÑÐ] 070303Ò»Ö¾Ô¸Î÷±±´óѧѧ˶310ÕÒµ÷¼Á +3 dÈçÔ¸Éϰ¶ 2026-03-13 3/150 2026-03-13 10:43 by houyaoxu
ÐÅÏ¢Ìáʾ
ÇëÌî´¦ÀíÒâ¼û