倉倝俱倊倹倢倉
倰們倧倸倝倰倛倷倉倰倚倥倸倒倗倛倉値倗倗値倸俷俱倕倡倊倰俲倹倢倴個倳倉倊倹倢倉倝倒倸倢俷倰倓倸俷倓倥倊 倚倗倥倛倒倨倉俱倷倅倓倠倛倉倡俱倆倦俷倝倠倴倓倊倢俷倝倒倸倢俷倴倄倹倕倢俷倶 倰俲倢俸倦俷倓倥倊俱倹倢倗倅倢們倰俲倹倢倴個
"個倡俷 "
倇倡倉倇倥倇倥倸倰俲倹倢倴個倳倉倊倹倢倉 倚倗倥倛倒倨倉俱倷倴倄倹倒値倉倰倚倥倒俷俲倝俷倛倉倡俱俱倓倠倱倇俱
倰俲倢們倝俷倅倢們倰倚倥倒俷倴個 俱倷倰倛倷倉倰倚倥倸倒倗倛倉値倗俱倣倕倡俷倒倧倉倝倒倩倸俲倹倢俷倲倅债倠倛倉倡俷倚倧倝倄倹倗倒倚倥倛倉倹倢倛俷倨倄倛俷値倄 們倧倝俻倹倢倒俱倣倛們倡倄倱倉倸倉 俲倹倝倉値倹倗俱倄倕俷倊倉倲倅债倠倝倒倸倢俷倱倓俷
倰倛倷倉倴倄倹俺倡倄倗倸倢倰們倧倸倝俴倓倩倸倉倥倹倰倚倥倸倒倗倛倉値倗倰倎値倸俷俸倠俺俱倲倅债倠倅倡倗倉倥倹倴個倰倅倷們倱倓俷
倚倗倥倛倒倨倉倰倛倷倉倄倡俷倉倡倹倉俸倦俷倰倄値倉倰俲倹倢倴個倆倢們倗倸倢
"倉倢倒倉値倗倅倡倉 俴倨倃倰個倷倉倝倠倴倓倴個..."
"倉倢倒倴們倸倰俲倹倢倳俸倛倓倝俱"
倰倚倥倸倒倗倛倉値倗倲倊俱們倧倝倝倒倸倢俷倓倣俴倢俽倳俸倰倕倷俱倉倹倝倒 倱倅倸倴們倸俱倥倸倗値倉倢倇倥倅倸倝們倢倰俲倢俱倷倉倦俱倝倠倴倓俲倦倹倉倴倄倹
"倰倏倒倝倗倥倻 倉倢倒 倛倓倧倝倇倸倢倉倰俻倝倓值倛倢倉倕倥倸俴倉倉倡倹倉 們倥俴倗倢們倓倩倹倰倓倧倸倝俷倰俴倓倧倸倝俷們倧倝倇倢俷俴倃値倅倘倢倚倅倓值倊倹倢俷倴倛們?"
倚倗倥倛倒倨倉倱俱倕倹俷倇倣倛倉倹倢俻倧倸倝倅倢倳倚俸倹倝俷們倝俷倰俲倢倝倥俱俴倓倡倹俷倎倕倢俷倆倢們倗倸倢
"倰俴倓倧倸倝俷們倧倝倇倢俷俴倃値倅倘倢倚倅倓值倰倛倓倝? 俴倨倃倛們倢倒倆倦俷倴們倹倊倓倓倇倡倄? 倛倓倧倝倗倸倢倗俷倰倗倥倒倉倕倸倠?"
倰們倧倸倝倴倄倹倒値倉俴倣倎倩倄倉倥倹 倛倡倗倳俸俲倝俷倰倚倥倸倒倗倛倉値倗俱倷倰倒倷倉倗倢倊倴個俴倓倦倸俷倛倉倦倸俷 倱倅倸倎倩倄們倢倆倦俷俲倉倢倄倉倥倹倱倕倹倗俸倠倛倒倨倄俱倕倢俷俴倡倉俱倷倴們倸倴倄倹 倰俲倢俸倦俷倎倩倄倅倸倝
"倴們倸倳俺倸倰俴倓倧倸倝俷們倧倝倳倉倲倕俱俴倗倢們倰個倷倉俸倓値俷 倱倅倸倰個倷倉倇倔候俾倥俺倨倄倛倉倦倸俷倇倥倸倚倢們倢倓倆俴倣倉倗倃倝倡倅倓倢俱倢倓倰個倕倥倸倒倉倱個倕俷倴倄倹倅倸倢俷倛倢俱
倝倒倸倢俷倰俺倸倉個倓倢俱俿俱倢倓倃值俱倢倓俱倓倠俸倢倒倱倚俷倰們倧倸倝俴倓倩倸倉倥倹 們倡倉俴倧倝倝倡倅倓倢俱倢倓倰個倕倥倸倒倉倱個倕俷俺倡倸倗俲倃倠倛倉倦倸俷 倛倓倧倝倝倢俸俸倠倰俱倥倸倒倗俲倹倝俷俱倡倊倝倉倨倐倢俴倊倢俷倝倒倸倢俷倇倥倸們倝俷倴們倸倰倛倷倉倄倹倗倒倅倢倰個倕倸倢倄倹倗倒俻倹倣
倱倕倠倰倎倧倸倝倇倥倸俸倠俴倣倉倗倃倝倡倅倓倢俱倢倓倰個倕倥倸倒倉倱個倕俷倉倥倹 倰倓倢俸倣倰個倷倉倅倹倝俷倳俺倹倰俴倓倧倸倝俷們倧倝倝倥俱俺倉値倄倛倉倦倸俷倇倥倸倚倢們倢倓倆倚倠倚們倅倸倝倰倉倧倸倝俷倴倄倹 倰倎倧倸倝倴個俴倣倉倗倃倌倕俴倩倃俲倝俷們倨們倛倡俱倰倛
倒俱倅倡倗倝倒倸倢俷倰俺倸倉 a+b 俴倩倃俱倡倉 n 倅倡倗 俱倷俴倧倝倌倕俴倩倃俲倝俷俱倢倓倄倦俷倅倡倗倝倡俱候倓 a 倛倓倧倝 b 倝倝俱們倢俸倢俱 a+b 倰俺倸倉 (a+b)^2=a^2+2ab+b^2... 俺倸倢俷倰倆倝倠 俹倡倉倰倄倢倗倸倢倉倢倒俴俷倏倡俷倴們倸倰俲倹倢倳俸倛倓倝俱"
倚倗倥倛倒倨倉們倝俷倰俲倢倄倹倗倒倓倝倒倒値倹們倇倥倸們倥倰倕倘倉倡倒倱倕倹倗倎倩倄倗倸倢
"倌們倏倡俷倰俲倹倢倳俸倚値 倚倢們倰倛倕倥倸倒們倛倒倢俷倞倨倒倴俷"
"倝倧們 倆倹倢俷倡倹倉俱倷倰倅倓倥倒們倅倡倗倰倆倝倠 倰倄倥倻倒倗倰倓倢俸倠倴個倛倢倕倨俷倗値倕倰倕倥倒們... 倰倄倥倻倒倗倉倠 倉倢倒倎倩倄倗倸倢倝倠倴倓倉倠?"
倰倄値們倇倥倰倚倥倸倒倗倛倉値倗俱倣倕倡俷倎倩倄倅倢們俴倗倢們俴値倄俲倝俷倅倡倗倰倝俷 倎倝倴倄倹倒値倉俴倣倎倩倄俲倝俷倚倗倥倛倒倨倉俺倡倄倶 倰俲倢俱倷俺倠俷倡俱倴個倇倡倉倇倥 俸倢俱倉倡倹倉俱倷倰俷倒倛倉倹倢俲倦倹倉俲倗倡倊 俸倹倝俷們倝俷倝倥俱倍倸倢倒倰俲們倷俷
"倛倒倢俷倰倏倒俻倢倉倰俸倥倸倒倗? 們倡倉俴倧倝倝倠倴倓?"
倚倗倥倛倒倨倉俴倓倨倸倉俴値倄倰倕倷俱倉倹倝倒 俱倸倝倉俸倠倒倧倸倉們倧倝倴個倛倢倰倚倥倸倒倗倛倉値倗
"俺倸倗倒倚倸俷個倢俱俱倢倳倛倹倌們倛倉倸倝倒倴倄倹倴倛們俴倓倡倊 倉倢倒倉値倗倅倡倉?"
倛倢俱倰個倷倉倰們倧倸倝倛倉倦倸俷倗倡倉俱倸倝倉 俻倦倸俷俱倷俴倧倝倅倝倉倇倥倸倰倚倥倸倒倗倛倉値倗倰倎値倸俷倰俸倝俱倡倊倚倗倥倛倒倨倉 俴倣俲倝俲倝俷倚倗倥倛倒倨倉倉倥倹俸倠倅倹倝俷倆倩俱倰倚倥倸倒倗倛倉値倗個俿値倰倚倈倝倒倸倢俷倱倉倸倉倝倉倓倹倝倒倰個倝倓值倰俻倷倉倅值
倱倆們倝倢俸俸倠倲倄倉倅倝俱俱倕倡倊們倢倝倥俱個倓倠倲倒俴倗倸倢 '倉倢倒俴倩倸俴倗倓倰倛倓倝?' 倄倹倗倒俻倹倣
倱倅倸倛倕倡俷俸倢俱俱倢倓倝倉倨們倢倉個倓倢俱俿俱倢倓倃值俱倢倓俱倓倠俸倢倒倱倚俷倰們倧倸倝倴們倸倉倢倉們倢倉倥倹 倳倉倅倝倉倉倥倹倰倚倥倸倒倗倛倉値倗倰倓値倸們們倥俴倗倢們倚倉倳俸倱倕倠倒倝們倓倡倊倳倉倅倡倗倚倗倥倛倒倨倉 倛倓倧倝俸倠倎倩倄倳倛倹倆倩俱俱倷俴倧倝倇倸倢倉倰俻倝倓值倛倢倉倕倥倸倇倥倸倝倒倩倸倰倊倧倹倝俷倛倕倡俷倰俲倢 俲倦倹倉們倢倕倢俷倶 倱倕倹倗
們値俹倠倉倡倹倉倰們倧倸倝俴倓倩倸倉倥倹倰俲倢俴俷倴們倸倝倈値倊倢倒倝倠倴倓倒倧倄倒倢倗倳倛倹倚倗倥倛倒倨倉倏倡俷倛倓倝俱
倄倡俷倉倡倹倉倰們倧倸倝倰倌俺値俽俱倡倊俴倣俲倝俲倝俷倚倗倥倛倒倨倉 倰倚倥倸倒倗倛倉値倗俸倦俷倒倝們倚倸俷個倢俱俱倢倳倛倹俻倦倸俷倰個倷倉倰倓倧倸倝俷倇倥倸倰俱値倄俲倦倹倉倴倄倹倒倢俱
倚倗倥倛倒倨倉倓倡倊個倢俱俱倢們倢 倱倕倹倗倗倢倄倓倩個倊倉俱倓倠倄倢候倝倒倸倢俷倓倗倄倰倓倷倗
.............1
.......1......1
....1......2......1
1.....3.......3.........1 (倲個倓倄倕倠倰倗倹倉俸倨倄倴俲倸個倕倢 倛倢俱倴們倸倳倚倸倴倗倹倓倠倊倊俹倥倰倅倥倸倒倉俸倠倒倸倝倛倉倹倢倝倡倅倲倉們倡倅値 們倦倉倰倕倒)
.......
倚倗倥倛倒倨倉倗倢倄倇倡倹俷倛們倄倱個倄倊倓倓倇倡倄 倅倡倗倰倕俲倚倝俷倅倡倗倓値們倚倨倄俲倝俷倱倅倸倕倠倊倓倓倇倡倄倕倹倗倉倰個倷倉 1 個倓倠俱倝倊俱倡倉倰個倷倉倓倩個倚倢們倰倛倕倥倸倒們倄倹倢倉倰倇倸倢
倰倎倧倸倝倉倶 倇倥倸俴倨倹倉倰俴倒俱倡倊倐倢倎倉倥倹俴俷俸倠倓倩倹倗倸倢 倉倥倸俴倧倝倚倢們倰倛倕倥倸倒們倛倒倢俷倞倨倒倝倡倉倲倄倸俷倄倡俷 倛倓倧倝倇倥倸倰倓倥倒俱俱倡倉倗倸倢倚倢們倰倛倕倥倸倒們個倢倚俱倢倕 倳倉倗俷俱倢倓俴倃値倅倘倢倚倅倓值倓倠倄倡倊倉倢倉倢俺倢倅値 俺倧倸倝倛倕倡俷俸倠倴倄倹倓倡倊俱倢倓倒倝們倓倡倊們倢俱俱倗倸倢
倱倅倸倳倉俴倗倢們倰個倷倉俸倓値俷 個倥倇倥倸倛倒倢俷倞倨倒俴倹倉倎倊倚倢們倰倛倕倥倸倒們倉倥倹倰倓倷倗俱倗倸倢個倢倚俱倢倕倆倦俷倚倥倸倓倹倝倒俱倗倸倢個倥
倛倒倢俷倞倨倒倰俱値倄倳倉倒倨俴倓倢俺倗俷倘值俻倸俷倳倅倹 倳倉個倥 俴.倘. 1261 倰俲倢倴倄倹倰俱倷倊倓倡俱候倢倐倢倎倝倡倉倕倹倣俴倸倢倐倢倎倛倉倦倸俷倴倗倹倳倉倛倉倡俷倚倧倝 "倝倓倓倆倢倈値倊倢倒倰俱倹倢倊倇俴倃値倅倘倢倚倅倓值" 倉倡倸倉俴倧倝倐倢倎 "倅倹倉俱倣倰倉値倄倗値倈倥倆倝倄倓倢俱" 俻倦倸俷倰個倷倉倐倢倎倚倢們倰倛倕倥倸倒們倇倥倸倰俱倸倢倱俱倸倇倥倸倚倨倄倇倥倸們倥倛倕倡俱倀倢倉倳倛倹倚倧倊俴倹倉倴倄倹倳倉個倡俸俸倨倊倡倉
倇倗倸倢倄倹倗倒倰倛倅倨倌倕倊倢俷個倓倠俱倢倓倇倥倸倰個倷倉倇倥倸倇倓倢倊俱倡倉倄倥 倚倢們倰倛倕倥倸倒們個倢倚俱倢倕俸倦俷倱倎倓倸倛倕倢倒倴個倳倉倗俷俱倗倹倢俷們倢俱俱倗倸倢 倊倢俷俴倉倆倦俷俱倡倊倴們倸倒倝們倓倡倊俺倧倸倝倚倢們倰倛倕倥倸倒們倛倒倢俷倞倨倒倰倕倒倄倹倗倒俻倹倣
倄倡俷倉倡倹倉倱們倹俸倠們倥倊倡倉倇倦俱倕倢倒們倧倝倅倹倉俹倊倡倊俲倝俷倛倒倢俷倞倨倒 倚倢們倰倛倕倥倸倒們倇倢俷俴倃値倅倘倢倚倅倓值倉倥倹俱倷倒倡俷俴俷倆倩俱倰倓倥倒俱倗倸倢倚倢們倰倛倕倥倸倒們個倢倚俱倢倕倝倒倩倸倄倥
倱倅倸倚値倸俷倇倥倸俴倗倓俴倸倢倱俱倸俱倢倓俱倕倸倢倗倆倦俷俱倷俴倧倝...
倰倗倕倢倇倥倸個倢倚俱倢倕倘倦俱候倢倐倢倎倚倢們倰倛倕倥倸倒們倉倥倹俴倧倝個倥 俴.倘. 1654 倱倕倠倰倗倕倢倇倥倸個倓倠俱倢倘倝倒倸倢俷倰個倷倉倇倢俷俱倢倓俴倧倝俺倸倗俷個倕倢倒倰倄倧倝倉倎倔倘俸値俱倢倒倉個倥 俴.倘. 1665 俻倦倸俷倛倸倢俷俸倢俱倅倝倉倉倥倹...
倒倡俷倰倛倕倧倝倰倗倕倢倝倥俱倛倉倦倸俷倰倄倧倝倉倰倅倷們!
倉倥倸俴倧倝倰倛倅倨倌倕倇倥倸倗倸倢倇倣倴們倚倗倥倛倒倨倉倆倦俷倰倓値倸們倅倹倉俸倢俱個倓倢俱俿俱倢倓倃值俱倢倓俱倓倠俸倢倒倱倚俷
個倓倢俱俿俱倢倓倃值俱倢倓俱倓倠俸倢倒倱倚俷倰個倷倉倱倊倊俸倣倕倝俷倇倢俷倝倉倨倎倡倉倈值倇倥倸俺倡倄倰俸倉們倢俱 俴倕倢倚倚値俱倒値倸俷俱倗倸倢倱倓俷倲倉倹們倆倸倗俷倚倢俱倕倰倚倥倒倝倥俱 倴們倸倗倸倢俸倠倰個倷倉們倨們倛倡俱倰倛倛倓倧倝倓倩個倕倡俱候倃值 "倰俸倷倄倓倗們倰個倷倉倛倉倦倸俷" 俲倝俷們倡倉倰倝俷 倅倸倢俷俱倷俺倥倹倅倓俷倴個倇倥倸倰俴倓倧倸倝俷們倧倝倱俴倕俴倩倕倡倚
倱倉倗俴値倄倰倓倧倸倝俷 1/7 倉倥倹 倒値倸俷倰俺倧倸倝們倲倒俷倲倄倒倅倓俷俱倡倊俱倢倓倱倚倄俷倰倘候倚倸倗倉俲倝俷倰倕俲俺倥倹俱倣倕倡俷
倛倢俱倰倚倥倸倒倗倛倉値倗倇倥倸倴倄倹倚倡們倌倡倚俱倡倊個倓倢俱俿俱倢倓倃值俱倢倓俱倓倠俸倢倒倱倚俷倴們倸倉倦俱倆倦俷 '倗値俺倢倏倕倡俱倰俻倥倒倉' 倇倥倸倅倡倗倰倝俷俱倣倕倡俷們倧倄倱個倄倄倹倢倉倝倒倩倸倕倸倠俱倷 倰俲倢俱倷倚們俴倗倓倴個倝倢倊倉倹倣倉倝倉倴倄倹倱倕倹倗
倰倚倥倸倒倗倛倉値倗倰倛倷倉個倓倢俱俿俱倢倓倃值俱倢倓俱倓倠俸倢倒倱倚俷 倰倚倥倸倒倗倛倉値倗倰俱値倄俴倗倢們倝倒倢俱倓倩倹 倰倚倥倸倒倗倛倉値倗俴倣倉倗倃俲倹倝們倩倕 倰倚倥倸倒倗倛倉値倗倉倦俱倆倦俷倗値俺倢倏倕倡俱倰俻倥倒倉 倚倗倥倛倒倨倉倄倦俷倚倢們倰倛倕倥倸倒們倛倒倢俷倞倨倒倝倝俱們倢
倉倥倸俴倧倝俱倡倊倄倡俱倱倛倸俷俴倗倢們俱倹倢倗倛倉倹倢倇倢俷倅倓倓俱倠倇倥倸倚們倊倩倓倃值倱倊倊 倱倌倉俱倢倓倇倥倸倰倓値倸們俸倢俱倏値倚値俱倚值倴個倚倩倸俴倃値倅倘倢倚倅倓值
倚倸倗倉倰倛倅倨倌倕倇倥倸倚倗倥倛倒倨倉倗倢倄倐倢倎倉倥倹倝倝俱們倢倉倡倹倉俷倸倢倒們倢俱
倚倢們倰倛倕倥倸倒們倛倒倢俷倞倨倒 俴倧倝倛倉倢們倒倝俱倝俱倇倥倸倆倝倉倴們倸倝倝俱倳倉倳俸俲倝俷倌倩倹個俿値倊倡倅値俷倢倉倄倹倢倉俴倃値倅倘倢倚倅倓值倇倨俱俴倉!
倰倄値們倇倥倚倢們倰倛倕倥倸倒們倛倒倢俷倞倨倒倰個倷倉倰俴倓倧倸倝俷們倧倝倇倢俷俴倃値倅倘倢倚倅倓值倇倥倸倊倓倓倎倊倨倓倨候俲倝俷倰倓倢俴値倄俴倹倉俲倦倹倉們倢俱倸倝倉倱倕倠們倥倛倕倡俱倀倢倉倱倉倸俺倡倄 倱倕倹倗倄倹倗倒倰倛倅倨倌倕倝倠倴倓倆倦俷倅倹倝俷倆倩俱倊倡俷俴倡倊倳倛倹倴個倱俲倗倉倝倒倩倸倳倅倹俺倧倸倝俲倝俷俴倉倝倧倸倉倰倎倥倒俷倰倎倓倢倠俴倗倢們倝倡倄倝倡倹倉倅倡倉倳俸倳倉倒倨俴個倡俸俸倨倊倡倉?
倛倹倗俷們値倅値倰倗倕倢倰倄値們倰俲倢俸倡倄俱倢倓倴們倸倴倄倹倱倕倠倴們倸們倥俴倗倢們倚倢們倢倓倆倎倝倇倥倸俸倠倴個俸倡倄俱倢倓 倱倅倸倳倉倛倹倗俷倰倗倕倢倉倥倹 倚倗倥倛倒倨倉俸倠倴們倸倒倝們倳倛倹倚倢們倰倛倕倥倸倒們倛倒倢俷倞倨倒倳俺倹俺倧倸倝倓倸倗們俱倡倊個倢倚俱倢倕倰倄倷倄俲倢倄!
們倥倌倩倹倝倢倗倨倲倚倉値倗倅倡倉倓倡倊個倓倠俱倡倉倳倛倹 倚倢們倰倛倕倥倸倒們倛倒倢俷倞倨倒俱倷俴倧倝倚倢們倰倛倕倥倸倒們倛倒倢俷倞倨倒
俴倣倉倢們倇倥倸倰個倷倉俲倝俷倛倡倗倰俻倥倸倒倰倇倸倢倉倡倹倉!
俸倢俱倉倡倹倉倚倗倥倛倒倨倉俱倷倎倸倉倕們倛倢倒倳俸俲倨倸倉們倡倗倳倉倳俸倝倝俱們倢 倱倕倹倗倕俷們倧倝俲倥倄倰倚倹倉倚倝俷倚倢們倰倚倹倉倕俷倴個倅倸倝
"倉倢倒倉値倗倅倡倉 俴倨倃倄倩倚値 倄倹倢倉倰倝倥倒俷倚倝俷倄倹倢倉俲倝俷倚倢們倰倛倕倥倸倒們倉倥倹個倓倠俱倝倊倄倹倗倒倅倡倗倰倕俲 1 倚倸倗倉倅倡倗倰倕俲倇倥倸倰倛倕倧倝倕倹倗倉倰倇倸倢俱倡倊倅倡倗倰倕俲倚倝俷倅倡倗倊倉倴倛倕倸俲倝俷們倡倉倊倗俱俱倡倉
倅倡倗倰倕俲 C(n,r) 倳倄倶 倇倥倸倝倈値倊倢倒俸倢俱倓倩個倐倢倎 倕倹倗倉倰倇倸倢俱倡倊倌倕倓倗們俲倝俷倅倡倗倰倕俲倚倝俷倅倡倗倊倉倴倛倕倸俲倝俷們倡倉 俴倧倝 C(n-1,r-1) 倱倕倠 C(n-1,r)"
俲倃倠倇倥倸倎倩倄 倚倗倥倛倒倨倉俱倷倰俲倥倒倉倚倩倅倓倕俷倊倉俱倓倠倄倢候
C(n,r)=C(n-1,r-1)+C(n-1,r) (n=1,2,3,···n)
倓倗們倆倦俷...
(a+b)^2=a^2+2ab+b^2
(a+b)^3=a^3+3a^2b+3ab^2+b^3
(a+b)^4=a^4+4a^3b+6a^2b^2+6ab^3+b^4
(a+b)^5=a^5+5a^4b+10a^3b^2+10a^2b^3+5ab^4+b^5
倅倝倉倇倥倸倚倗倥倛倒倨倉倰俲倥倒倉倆倦俷俺倸倝俷倒俱俱倣倕倡俷倚倢們 倚倥倛倉倹倢俲倝俷倰倚倥倸倒倗倛倉値倗俱倷倰倓値倸們俸倓値俷俸倡俷俲倦倹倉倰倓倧倸倝倒倶
倱倕倠倰們倧倸倝倚倗倥倛倒倨倉倰俲倥倒倉倆倦俷倒俱俱倣倕倡俷倛俱 倰倚倥倸倒倗倛倉値倗俱倷倆倦俷俱倡倊倉倡倸俷倴們倸倅値倄
倰俲倢倕倨俱俲倦倹倉倒倧倉 倱倒倸俷個倢俱俱倢俸倢俱倚倗倥倛倒倨倉們倢倰俲倥倒倉倰倝俷倰倚倥倒倰倕倒
(a+b)^6=a^6+6a^5b+15a^4b^2+20a^3b^3+15a^2b^4+6ab^5+b^6!
倰倛倷倉倴倄倹俺倡倄倰俸倉倰倕倒
倅倡倗倰倕俲倳倉倊倓倓倇倡倄倇倥倸 n 俲倝俷倚倢們倰倛倕倥倸倒們倛倒倢俷倞倨倒們倥 n 倎俸倉值 倌倕倓倗們俲倝俷倅倡倗倰倕俲俴倧倝 2 倒俱俱倣倕倡俷 n-1 倚倡們個倓倠倚値倇倈値值倱倅倸倕倠倅倡倗倳倉倉値倎俸倉值俱倓倠俸倢倒俲倝俷 (a+b) 倒俱俱倣倕倡俷 n 俸倠倚倝倄俴倕倹倝俷俱倡倊倱倅倸倕倠倎俸倉值倳倉倊倓倓倇倡倄倇倥倸 (n+1) 俲倝俷倚倢們倰倛倕倥倸倒們倛倒倢俷倞倨倒倅倢們倕倣倄倡倊!
倱們倹倗倸倢倉値倎俸倉值俱倓倠俸倢倒倉倥倹俸倠倴們倸們倥俴倗倢們倒倢俱倚倣倛倓倡倊倰倚倥倸倒倗倛倉値倗倰倕倒倱們倹倱倅倸倉倹倝倒 倆倦俷俲倡倹倉倰倓倥倒俱倴倄倹倗倸倢倰個倷倉俱倢倓倇倣俷倢倉倎倧倹倉倀倢倉俲倝俷俱倢倓俱倓倠俸倢倒倇倗値倉倢們倄倹倗倒俻倹倣
倱倅倸倉倥倸倰個倷倉俴倓倡倹俷倱倓俱倇倥倸們倥俴倉倉倣倅倡倗倰倕俲倆倝倄倓倢俱們倢倱倚倄俷倝倝俱倄倹倗倒倓倩個倐倢倎倴倄倹倝倒倸倢俷倰倛倷倉倐倢倎俺倡倄倰俸倉俲倉倢倄倉倥倹!
倇倥倸倚倣俴倡俽俱倗倸倢倉倡倹倉俴倧倝 倅倡倗倰倕俲 m 倅倡倗倳倉倊倓倓倇倡倄倇倥倸 n 俲倝俷倚倢們倰倛倕倥倸倒們倛倒倢俷倞倨倒倚倢們倢倓倆倱倚倄俷倴倄倹倰個倷倉 C(n-1,m-1) 倉倡倸倉俱倷俴倧倝俸倣倉倗倉俱倢倓俸倡倄倛們倩倸俲倝俷俱倢倓倰倕倧倝俱倚們倢俺値俱 m-1 倅倡倗俸倢俱倚們倢俺値俱倇倥倸倱倅俱倅倸倢俷俱倡倉 n-1 倅倡倗
倉倥倸倆倧倝倰個倷倉倅倡倗俺倸倗倒倝倡倉倒値倸俷倳倛俽倸倚倣倛倓倡倊俱倢倓倝倉倨們倢倉倇倗値倉倢們倇倥倸倰倚倥倸倒倗倛倉値倗俱倣倕倡俷倄倣倰倉値倉俱倢倓倝倒倩倸倝倒倸倢俷倴們倸倅倹倝俷倚俷倚倡倒!
倱倅倸倗倸倢...
俴値倹倗俲倝俷倰倚倥倸倒倗倛倉値倗俱倷俴倸倝倒倶 俲們倗倄倰俲倹倢倛倢俱倡倉倝倥俱俴倓倡倹俷
俱倢倓個倓倢俱俿倅倡倗俲倝俷倚倢們倰倛倕倥倸倒們倛倒倢俷倞倨倒倰倓倥倒俱倴倄倹倗倸倢俺倸倗倒倰個値倄倱倉倗俴値倄倳倛們倸倳倛倹俱倡倊倰俲倢 倱倅倸倚倣倛倓倡倊個倡俽倛倢倇倥倸倰俲倢俱倣倕倡俷倅値倄俲倡倄倝倒倩倸倳倉倅倝倉倉倥倹 俻倦倸俷俱倷俴倧倝俱倢倓俱倓倠俸倢倒俲倝俷 (P+PQ)m/n 俱倕倡倊倴們倸倴倄倹俺倸倗倒倝倠倴倓們倢俱倉倡俱
倰倎倓倢倠倚値倸俷倇倥倸倚倢們倰倛倕倥倸倒們倛倒倢俷倞倨倒倰俱倥倸倒倗俲倹倝俷俴倧倝個倡俽倛倢倚倡們個倓倠倚値倇倈値值 倱倅倸倚値倸俷倇倥倸倇倣倳倛倹倰倚倥倸倒倗倛倉値倗個倗倄倛倡倗俴倧倝個倡俽倛倢倰倕俲俺倥倹俱倣倕倡俷
倅倝倉倉倥倹倰倚倥倸倒倗倛倉値倗俱倷倰倛們倧倝倉俱倡倊倉倡俱個倡倸倉倌倩倹俺倸倣俺倝俷
倰們倧倸倝倰倕倥倹倒倗倌倸倢倉倰倚倹倉倇倢俷倐倩倰俲倢倱倕倹倗俸倩倸倶 俱倷倎倊倗倸倢倝倥俱倓倹倝倒倰們倅倓俲倹倢俷倛倉倹倢倰個倷倉倇倥倸倓倢倊倰倓倥倒倊 倇値倗倇倡倘倉值俷倄俷倢們倅倓倠俱倢倓倅倢 倱倅倸倛倸倢俷倝倝俱倴個倚値倊俱倗倸倢倰們倅倓倅倓俷倛倉倹倢俱倕倡倊們倥俱倝俷倛値倉倆倕倸們俲倉倢倄倳倛俽倸俲倗倢俷倇倢俷倝倒倩倸
倱倕倠倳倉倅倝倉倇倥倸倰倚倥倸倒倗倛倉値倗俱倣倕倡俷倚倡倊倚倉 倚倗倥倛倒倨倉俱倷倎倩倄俲倦倹倉們倢倝倒倸倢俷俺倹倢倶 倝倥俱個倓倠倲倒俴倗倸倢
"俸倓値俷倚値 倉倢倒倉値倗倅倡倉 倇倸倢倉倰俻倝倓值倛倢倉倕倥倸俱倷倰俴倒倘倦俱候倢倚倢們倰倛倕倥倸倒們倛倒倢俷倞倨倒們倢倊倹倢俷倰倛們倧倝倉俱倡倉
倅倸倝們倢倰俲倢倎倊倗倸倢倰倕俲俺倥倹俱倣倕倡俷俲倝俷倇倗値倉倢們倄倩倰倛們倧倝倉俸倠倴們倸俸倣倰個倷倉倅倹倝俷倰個倷倉俸倣倉倗倉倰倅倷們倰倚們倝倴個 倰倘候倚倸倗倉倛倓倧倝倱們倹倱倅倸俸倣倉倗倉倕倊俱倷倄倩倰倛們倧倝倉俸倠倰個倷倉倴個倴倄倹倰俺倸倉俱倡倉"
"倰俲倢倒倡俷倴們倸倴倄倹倝倈値倊倢倒倗値倈倥倎値倚倩俸倉值俸倣倉倗倉倕倊 倱倅倸倴倄倹倇値倹俷倗値倈倥倎値倚倩俸倉值倰倘候倚倸倗倉倰倝倢倴倗倹"
"倰俲倢倰倓倥倒俱們倡倉倗倸倢..."
"俱倢倓俱倓倠俸倢倒倛倢倉倕倥倸!"
.....