从数字1到33的33个数字中,任意6个数字之和等于112的数字组和有多少组 从数字1到33中任选6个数字,其和值等于115的组合有多少组...
1-33,\u8fd933\u4e2a\u6570\u5b57\u4e2d\u4efb\u610f6\u4e2a\u6570\u7ec4\u5408\uff0c\u548c\u503c\u4e3a102\uff0c\u6709\u591a\u5c11\u79cd\u7ec4\u5408\uff1f2+2+20+23+28+27=102
3+2+19+23+28+17=102
\u4f9d\u6b64\u7c7b\u63a8\uff0c\u7b2c\u4e00\u4e2a\u6570\u5b57\u5927\uff0c\u540e\u9762\u5fc5\u6709\u4e00\u4e2a\u6570\u5b57\u8981\u51cf\u5c11\u3002
\u8fd9\u6837\u7684\u89c4\u5f8b\u4e0d\u7528\u8bf4\u4e86\u5427\uff1f
\u7b80\u5355
7 10 15 20 30 33
共1107568种答案.这里给出几个:7 13 16 23 25 28
7 13 16 23 26 27
7 13 16 24 25 27
7 13 17 18 24 33
7 13 17 18 25 32
7 13 17 18 26 31
7 13 17 18 27 30
7 13 17 18 28 29
7 13 17 19 23 33
7 13 17 19 24 32
7 13 17 19 25 31
7 13 17 19 26 30
7 13 17 19 27 29
7 13 17 20 22 33
7 13 17 20 23 32
7 13 17 20 24 31
7 13 17 20 25 30
7 13 17 20 26 29
7 13 17 20 27 28
7 13 17 21 22 32
7 13 17 21 23 31
7 13 17 21 24 30
7 13 17 21 25 29
7 13 17 21 26 28
7 13 17 22 23 30
7 13 17 22 24 29
7 13 17 22 25 28
7 13 17 22 26 27
7 13 17 23 24 28
7 13 17 23 25 27
7 13 17 24 25 26
7 13 18 19 22 33
7 13 18 19 23 32
7 13 18 19 24 31
7 13 18 19 25 30
7 13 18 19 26 29
7 13 18 19 27 28
7 13 18 20 21 33
7 13 18 20 22 32
7 13 18 20 23 31
7 13 18 20 24 30
有18190组:
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绛旓細7 13 16 24 25 27 7 13 17 18 24 33 7 13 17 18 25 32 7 13 17 18 26 31 7 13 17 18 27 30 7 13 17 18 28 29 7 13 17 19 23 33 7 13 17 19 24 32 7 13 17 19 25 31 7 13 17 19 26 30 7 13 17 19 27 29 7 13 17 20 22 33 7 13 17 20 23 32 7 ...
绛旓細浠01-33鐨33涓暟瀛椾腑浠婚6涓彿锛屽叡鏈33*32*31*30*29*28锛797448960绉嶄笉鍚岀殑鎺掑垪銆傝繖鏄粍鍚堥棶棰橈紝33涓暟涓6涓笉鍒嗛『搴忥紝C633=33涔32涔31涔30涔29涔28闄や互6涔5涔4涔3涔2涔1锛1080568銆傚彲浠ヤ粠绠鍗曠殑渚嬪瓙涓潵鎵捐寰嬶紝渚嬪浠1鍒4涓2涓暟鍑烘潵涓嶅垎椤哄簭锛岃繖鏍风殑璇濇槸鏈夊涓6绉嶇粍鍚堬細1,2锛...
绛旓細浠1鍒33涓暟瀛椾腑浠婚6涓暟锛岃兘缁勬垚1107568涓棤搴忔暟瀛楀簭鍒楋紝鏈夊簭鏁板瓧搴忓垪797448960銆傝В锛1銆丆(6,33)=(33脳32脳31脳30脳29脳28)/(6脳5脳4脳3脳2脳1)=1107568 2銆丆(6,33)=33*32*31*30*29*28 =797448960銆
绛旓細11锛12锛13锛14锛15锛16
绛旓細浠1鍒33涓暟瀛椾腑浠婚6涓暟锛岃兘缁勬垚1107568涓棤搴忔暟瀛楀簭鍒楋紝鏈夊簭鏁板瓧搴忓垪797448960銆傝В锛1銆丆(6,33)=(33脳32脳31脳30脳29脳28)/(6脳5脳4脳3脳2脳1)=1107568 2銆丆(6,33)=33*32*31*30*29*28 =797448960銆備袱涓父鐢ㄧ殑鎺掑垪鍩烘湰璁℃暟鍘熺悊鍙婂簲鐢細1銆佸姞娉曞師鐞嗗拰鍒嗙被璁℃暟娉曪細姣忎竴绫讳腑鐨勬瘡涓绉...
绛旓細鍦1鍒33涓暟瀛椾腑鑳界粍鎴愬拰鍊间负35鐨勪袱涓ょ粍鍚堝叡鏈16瀵广傚叿浣撶粍鍚堜负锛2+33锛3+32锛4+31锛5+30锛6+29锛7+28锛8+27锛9+26,10+25,11+24,12+23,13+22,14+21,15+20,16+19,17+18,鎬诲叡鏈16瀵广
绛旓細17004缁
绛旓細浜屾椤瑰畾鐞嗏涓鍏辨湁(33*32*31*鈥*21)绉嶃備粠n涓暟涓鎶藉彇r涓鏁帮紝鍏朵腑r灏忕瓑浜巒锛宺鏄嚜鐒舵暟锛宯鏄鏁存暟鈥
绛旓細浜屾椤瑰畾鐞嗏涓鍏辨湁(33*32*31*鈥*21)绉嶃備粠n涓暟涓鎶藉彇r涓鏁帮紝鍏朵腑r灏忕瓑浜巒锛宺鏄嚜鐒舵暟锛宯鏄鏁存暟鈥
绛旓細鍙互浣跨敤缁勫悎鏁扮殑鏂规硶姹傝В銆傚湪缁勫悎鏁扮殑璁$畻涓紝闇瑕佽冭檻姣忎釜鏁板瓧鍙兘閫夋嫨涓娆★紝鍥犳闇瑕佷娇鐢ㄢ33閫6鈥濈殑缁勫悎鏁帮紝涔熷氨鏄湪33涓暟瀛椾腑閫夊彇6涓鏁板瓧鐨涓嶅悓缁勫悎鏁般傞氳繃缁勫悎鏁板叕寮忕殑璁$畻锛屽緱鍒33閫6鐨勭粨鏋滄槸594,143銆傚洜姝わ紝浠1鍒33鏁板瓧鍙互鎺掑垪鐨勭粍鍚堟暟涓594,143锛屽嵆鍙互鎺掑垪鎴5_