Learning Mathematics for IIT JEE
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Sunday, December 14, 2008
Multinomial theorem
(x1+x2)
^{n}
= Σ (n!/r1!r2!) x1
^{r1}
x2
^{r2}
(where (r1 = 0 to n) and r1+r2 = n)
The result can be extended to (x1+x2_x3+…+xk)
^{n}
(x1+x2_x3+…+xk)
^{n}
=
Σ [n!/(r1!r2!...rk!)] x1
^{r1}
x2
^{r2}
xk
^{rk}
(where r1+r2+…+rn = n)
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