1!等于1,2!等于2乘1,3!等于3乘2乘1,4!等于4乘3乘2乘1, 计算98!分之100! !是一种数学运算!
\u201c\uff01\u201d\u4e3a\u4e00\u79cd\u8fd0\u7b97\u7b26\u53f7\u30021\uff01=1\uff0c2\uff01=2\u4e581\uff0c3\uff01=3\u4e582\u4e581\uff0c4\uff01=4\u4e583\u4e582\u4e581...\uff1b\u5219\u8ba1\u7b9798\uff01\u5206\u4e4b100\uff01\u7b49\u4e8e\u51e0\uff1f\u5f88\u7b80\u5355\uff0c\u5206\u5b50\u548c\u5206\u6bcd\u540c\u65f6\u7f29\u5c0f98\uff01\u500d\uff0c\u5206\u6bcd\u6ca1\u4e86\uff0c\u5206\u5b50\u8fd8\u670999\u00d7100=9900\uff0c\u7b54\u6848\u4e5f\u5c31\u662f9900
\u8fd9\u4e48\u8f9b\u82e6\u5c31\u91c7\u7eb3\u5427\uff01\u3010\u6570\u5b66\u8f85\u5bfc\u56e2\u4e3a\u60a8\u7b54\u9898 O(\u2229_\u2229)O\uff0c\u80af\u5b9a\u5bf9 \u3011\u6709\u4ec0\u4e48\u4e0d\u660e\u767d\u53ef\u4ee5\u5bf9\u8be5\u9898\u7ee7\u7eed\u8ffd\u95ee\uff0c\u968f\u65f6\u5728\u7ebf\u7b49\u5982\u679c\u6211\u7684\u56de\u7b54\u5bf9\u4f60\u6709\u5e2e\u52a9\uff0c\u8bf7\u53ca\u65f6\u9009\u4e3a\u6ee1\u610f\u7b54\u6848\uff0c\u8c22\u8c22\u5982\u679c\u672c\u9898\u6709\u4ec0\u4e48\u4e0d\u660e\u767d\u7684\u5730\u65b9\uff0c\u53ef\u4ee5\u5411\u6211\u8ffd\u95ee\uff1b\u5982\u679c\u6ee1\u610f\u6211\u7684\u56de\u7b54\uff0c\u8bf7\u8bb0\u5f97\u91c7\u7eb3\uff1bO(\u2229_\u2229)O\u8c22\u8c22
\u56e0\u4e3a100\uff01=1\u00d72\u00d73\u00d7\u2026\u2026\u00d798\u00d799\u00d7100
98\uff01=1\u00d72\u00d73\u00d7\u2026\u2026\u00d798
\u6240\u4ee5100\uff01\u00f798\uff01=99\u00d7100=9900
\u8fd9\u4e2a\u53eb\u505a\u9636\u4e58\u5566
n\uff01\u8868\u793a\u4ece1\u8fde\u7eed\u4e58\u5230n\uff0c\u5373n\uff01=1\u00d72\u00d73\u00d7\u2026\u2026\u00d7n
\u611f\u53f9\u53f7\uff0c\u6760\u6760\u6ef4\uff01\uff01
100!/98!=(100*99*98……*3*2*1)/(98*97*96……*3*2*1)
(98*97*96……3*2*1)/(98*97*96……3*2*1)=1
所以100!/98!=100*99=9900
绛旓細2009锛/2008锛=1*2*3*4*...*20082009/1*2*3*4*...*2008 =2009
绛旓細涓綅鏁版槸3 杩囩▼澶ц嚧杩欐牱 瀵逛簬10浠ヤ笂鏁帮紝鍗硁>10锛宯锛侀噷涓瀹氬惈鏈壝10,鎵浠锛佷釜浣嶄竴瀹氫负0锛涘悓鏃惰冭檻鍒5脳2=10锛屾墍浠ュ浜庝换浣曞ぇ浜5鐨勬暟锛屽嵆n>5锛屼竴瀹氬惈鏈5脳2=10,鎵浠ユ鏃秐锛佷釜浣嶄篃涓瀹氫负0锛屾墍浠ュ彧闇鑰冭檻1锛+2锛+3锛+4锛佺殑涓綅锛屽洜涓轰箣鍚庣殑涓綅鍏ㄤ负0銆傝1锛+2锛+3锛+4锛=1+2+6+24=...
绛旓細锛佹槸闃跺眰锛2009锛=2009*2008鈥*1 2008锛=2008*2007鈥*1 鍒2009!/2008!=(2009*2008鈥*1)/(2008*2007鈥*1)=2009
绛旓細100!/99!=(100*99*98*鈥︹︼紛1)锛忥紙99*98*鈥︹*1锛=[100*(99!)]/991!=100,搴旇鏄繖鏍峰惂
绛旓細100!/98!=100x99x98.../98x97x96...=100x99=9900
绛旓細98锛/100锛佸垎瀛愭槸1涔鍒98锛屽垎姣嶆槸1涔樺埌100锛屾妸1鍒98鍏ㄩ儴绾︽帀锛屽垎瀛愬墿1锛鍒嗘瘝鍓99*100 鎵浠ョ瓟妗堝氨鏄1/9900
绛旓細100!=1脳2脳3脳鈥︹γ100 98锛=1脳2脳3脳鈥︹γ98 閭d箞100锛伱98锛=锛1脳2脳3脳鈥︹γ100锛壝凤紙1脳2脳3脳鈥︹γ98锛=99脳100=9900 鍏勫紵锛屼互鍚庤鍔姏瀛︿範鍝
绛旓細100锛/98锛=100*99*98*97*鈥︹*2*1/(98*97*鈥︹*2*1)=100*99 =9900
绛旓細(n+1)!/n!=(n+1)*n*(n-1)*(n-2)鈥/n*(n-1)*(n-2)鈥=n+1
绛旓細闃朵箻鐨勬剰鎬濄傞樁涔樻槸鍩烘柉椤柯峰崱鏇硷紙Christian Kramp锛1760锝1826锛変簬 1808 骞村彂鏄庣殑杩愮畻绗﹀彿锛屾槸鏁板鏈銆涓涓鏁存暟鐨勯樁涔橈紙factorial锛夋槸鎵鏈夊皬浜庡強绛変簬璇ユ暟鐨勬鏁存暟鐨勭Н锛屽苟涓0鐨勯樁涔樹负1銆傝嚜鐒舵暟n鐨勯樁涔樺啓浣渘!銆1808骞达紝鍩烘柉椤柯峰崱鏇煎紩杩涜繖涓〃绀烘硶銆備害鍗硁!=1脳2脳3脳...脳n銆傞樁涔樹害鍙互閫掑綊...