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The term independent of x in (1+x+x^(-2)+x^(-3))^(10)is n then the last digit of (n+2)^(n)is |
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Answer» 1 Coefficient of `x^(30)` in `(1+x+x^(3)+x^(4))^(10)=(1+x)^(10)(1+x^(3))^(10)` `=.^(10)C_(10).^(10)C_(0).^(10)C_(3)+.^(10)C_(6)+.^(10)C_(7).^(10)C_(9)` `=1+1200+9450+1200` `=11851` LAST digit of `(11853)^(11851)=7` |
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