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ÀÌÇ×Á¤¸®, (aX + bY)^n ¸¦ Àü°³ÇÒ ¶§ X^x*Y^(n-x) Ç×ÀÇ °è¼ö

ÀÛ¼ºÀÚ Uploader : anyway ÀÛ¼ºÀÏ Upload Date: 2019-08-16º¯°æÀÏ Update Date: 2019-10-21Á¶È¸¼ö View : 619

(aX + bY)^n À» Àü°³ÇÏ¸é ´ÙÀ½°ú °°´Ù.

nC0*(aX)^n + nC1*(aX)^(n-1)*(bY) + nC2*(aX)^(n-2)*(bY)^2
+ ¡¦ + nCn-1*(aX)*(bY)^(n-1) + nCn*(bY)^n

C : Combination

µû¶ó¼­, X^x*Y^(n-x) Ç×Àº ´ÙÀ½°ú °°´Ù.

nCr*a^(n-r)*b^r*X^(n-r)*Y^r À̹ǷÎ, n-r = x ·Î ġȯÇϸé,

nCn-x*a^x*b^(n-x)*X^x*Y^(n-x) ÀÌ µÇ°í,

°è¼ö´Â ´ÙÀ½°ú °°´Ù.

C = nCn-x*a^x*b^(n-x)
  = n!/(x!*(n-x)!)*a^x*b^(n-x)


*** Âü°í¹®Çå[References] ***

https://en.wikipedia.org/wiki/Binomial_theorem
C = fac(n)/(fac(x)*fac(n-x))*a^x*b^(n-x)
º¯¼ö¸í Variable º¯¼ö°ª Value º¯ ¼ö ¼³ ¸í Description of the variable


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