(1 + x + x^2 + x^3 + ... + x^23) ^ 7
= (1 + x + x^2 + x^3 + ... + x^23 + ... x^inf ) ^ 7
= (1-x)^-7
= 1 + 7x + (7*8*x^2)/(1*2) + ... + (7*8*...*29*x^23)/(1*2*3* ... * 23)
+ ...
now coefficient of x^23 is (7*8*...*29) / (1*2*3* ... * 23)
= (1*2*3*...*29) / ( (1*2*3..
*23) * (1*2* .. *6) )
= 29! / ( 23! * 6!)
= 29C23 OR 29C6
any mistake???
--
Regards
Jitendra Kushwaha
MNNIT, Allahabad
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