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Ahkin1999

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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 ]
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Ahkin1999

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Originally posted by maqi at 2008-12-17 23:36:
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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
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Ahkin1999

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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 ...

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