Doubt on binomial theorem

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#7
(1+x)^n put x=1/3 , n=12 and add subtract C_0

#9
1+2+2^2......2^n

#10

  • easiest approch is hit and trial put any value n>2
    match the option
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Q21

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b??

  • for finding coefficient write down general term
    C_r x^{r_1}x^{r_2}..... write down cases in
    u will find ans
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Getting b

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