4个数字排列成三个一组，有几种排列方法 1，2，3，4 四个数字有多少种排列组合，是怎样的
4\u4e2a\u6570\u5b57\u6392\u5217\u6210\u4e09\u4e2a\u4e00\u7ec4,\u6709\u51e0\u79cd\u6392\u5217\u65b9\u6cd5\u8c8c\u4f3c\u662f\u8fd9\u6837\u7684
\u4e0d\u6392\u987a\u5e8f\u7684\u8bdd\uff0c\u5373\u7ec4\u5408\uff0c\u67094\u79cd\u6392\u6cd5
\u6392\u987a\u5e8f\u7684\u8bdd\uff0c\u5c31\u662f\u6392\u5217\u4e86\uff0c\u670924\u79cd\u6392\u6cd5\u4e86
1\uff0c2\uff0c3\uff0c4 \u56db\u4e2a\u6570\u5b57\u670924\u79cd\u6392\u5217\u7ec4\u5408\u3002
\u5206\u6790\u8fc7\u7a0b\u5982\u4e0b\uff1a
4\u7684\u9636\u4e58=24\u79cd\u3002
1234,1243,1324,1342,1423,1432
2134,2143,2341,2314,2413,2431
3124,3142,3241,3214,3412,3421
4123,4132,4231,4213,4321,4312
\u6269\u5c55\u8d44\u6599\uff1a
\u6392\u5217\u7ec4\u5408\u8ba1\u7b97\u65b9\u6cd5\u5982\u4e0b\uff1a
\u6392\u5217A(n,m)=n\u00d7\uff08n-1\uff09.\uff08n-m+1\uff09=n!/\uff08n-m\uff09!(n\u4e3a\u4e0b\u6807,m\u4e3a\u4e0a\u6807,\u4ee5\u4e0b\u540c)
\u7ec4\u5408C(n,m)=P(n,m)/P(m,m) =n!/m!\uff08n-m\uff09!\uff1b
\u4f8b\u5982\uff1a
A(4,2)=4!/2!=4*3=12
C(4,2)=4!/(2!*2!)=4*3/(2*1)=6
绛旓細鎺掑垪鏂规硶锛歅锛4锛3锛=4*3*2=24绉
绛旓細鎺掗『搴忕殑璇濓紝灏辨槸鎺掑垪浜嗭紝鏈24绉嶆帓娉曚簡
绛旓細鎺掑垪缁勫悎闂銆備粠鍥涗釜鏁板瓧涓夊嚭涓変釜锛屼竴鍏辨湁C锛4锛3锛=4*3*2/3*2*1=4绉嶇粍鍚銆傛帓鍒楃粍鍚堥棶棰樿仈绯诲疄闄呬笖鐢熷姩鏈夎叮锛屼絾棰樺瀷澶氭牱锛屾濊矾鐏垫椿锛屽洜姝よВ鍐虫帓鍒楃粍鍚堥棶棰橈紝棣栧厛瑕佽鐪熷棰橈紝寮勬竻妤氭槸鎺掑垪闂銆佺粍鍚堥棶棰樿繕鏄帓鍒椾笌缁勫悎缁煎悎闂锛岃嫢鏄笌椤哄簭鏈夊叧鍒欐槸鎺掑垪闂锛岃嫢鏄笌椤哄簭鏃犲叧鍒欐槸缁勫悎闂锛涘叾...
绛旓細濡4涓暟瀛鍙互閲嶅锛屽垯涓 4x4x4x4 256 缁勩備笉鍙互閲嶅锛屽垯涓 4x3x2x1 24 缁
绛旓細杩欐槸鎺掑垪缁勫悎闂锛鎬诲叡鍥涚缁勫悎銆
绛旓細C(4,3) = C(4,1) = 4 鍏卞彲浠ュ垎鎴 4 缁勩傚叾瀹炲緢瀹规槗鏁板嚭鏉锛1銆2銆3銆4 鍥涗釜鏁板瓧锛鍙互鍒嗘垚锛氣憼 1,2,3锛涒憽 1,2,4锛涒憿 1,3,4锛涒懀 2,3,4 .鍏 4 缁勩
绛旓細鍥涚銆傚棰橈紝涓嶈冭檻椤哄簭銆傛垜浠彲浠ョ敤绌蜂妇娉曘俛,b,c,d鍥涗釜鏁帮紝閭ｄ箞缁勫悎涓篴bc,abd,acd,bcd鍥涚銆
绛旓細4澶嶄笁鏈4缁銆4澶3鏈夊灏缁勶紝杩欏氨娑夊強鍒扮粍鍚堢殑闂锛岃繖鍥涗釜鏁板瓧鏄笉閲嶅鐨勶紝涓嶈繘琛鎺掑垪锛岄殢鎰忚繘琛岀粍鍚鎴愪竴缁勶紝鍙槸缁勫悎鎴愪笉鍚屾暟瀛楃殑鍑犵缁勫悎锛屾牴鎹帓鍒楃粍鍚堝師鐞嗭紝鍥涗釜鏁板瓧褰撲腑閫夊嚭涓変釜缁勫悎鎴愪竴缁勶紝鍙互绠楀嚭64缁勩傝绠楀叕寮忎负锛4涔樹互3涔樹互2锛夐櫎浠ワ紙3涔樹互2锛夌瓑浜4缁勩傚弻鑹茬悆鎶曟敞鍖哄垎涓虹孩鑹茬悆鍙风爜鍖...
绛旓細棰樹富闂殑鏄粍鍚堬紝涓嶆槸鎺掑垪銆備粠4涓暟瀛涓夊嚭3涓紝鍙互鎹釜瑙掑害鎬濊冦傚畠绛夊悓浜庝粠4涓暟瀛椾腑鎷挎帀1涓紝鍓╀綑鐨勪究鏄変腑鐨勩備緷娆℃嬁鎺夊叾涓竴涓紝灏卞緱鍒4涓柟妗堝涓嬶細234锛134锛124锛123銆
绛旓細涓炬姤| 绛旀绾犻敊 | 璇勮 4 2 鍏朵粬鍥炵瓟 4绉:0.4.9. 銆傘0.4.21.銆傘0.9.21.銆傘傘4.9.21.銆 鐑績缃戝弸| 鍙戝竷浜2013-08-22 涓炬姤| 璇勮 0 0 4绉,鍥涗釜鏁板瓧閫涓変釜鏈涓狢43浠涔堢殑 鐑績缃戝弸| 鍙戝竷浜2013-08-22 涓炬姤| 璇勮 0 0 浣犱滑鍙互杩欎箞鎯: 濡傛灉璇村彇鍑虹殑鏁板墠鍚庨『搴忔棤鎵璋撶殑璇,閭ｄ箞浠...
