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The coefficient of x^r[0lt=rlt=(n-1)] in...

The coefficient of `x^r[0lt=rlt=(n-1)]` in lthe expansion of `(x+3)^(n-1)+(x+3)^(n-2)(x+2)+(x+3)^(n-3)(x+2)^2++(x+2)^(n-1)` is `^n C_r(3^r-2^n)` b. `^n C_r(3^(n-r)-2^(n-r))` c. `^n C_r(3^r+2^(n-r))` d. none of these

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The correct Answer is:
`""^(n)C_(r) (3^(n-r) - 2^(n-r)) `
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ARIHANT MATHS-BIONOMIAL THEOREM-Exercise (Subjective Type Questions)
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  4. if Sn = C0C1 + C1C2 +...+ C(n-1)Cn and S(n+1)/Sn = 15/4 then n is

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  5. C1/C0+2C2/C1+3C3/C2+............+nCn/C(n-1)=(n(n+1))/2

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  6. Find the term in (a/(sqrt(b))3+sqrt(b/(a3)))^(21) which has the same p...

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  7. The coefficient of x^r[0lt=rlt=(n-1)] in lthe expansion of (x+3)^(n-1)...

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  11. If (1 + x)^(n) = C(0) + C(1) x + C(2) x^(2) + …+ C(n) x^(n) , find th...

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  12. Evaluate sum(0 le i lne j le 10) ""^(21)C(i) * ""^(21)C(j).

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  13. Find the coefficient of x^4 in the expansion of (1+x+x^2+x^3)^(11)dot

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  14. Find the coefficients of x^(4) in the expansions of (2 - x + 3x^(2...

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  15. If for z as real or complex, (1+z^2+z^4)^8=C0+C1z2+C2z4++C(16)z^(32)t ...

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  16. If for z as real or complex . (1+z^(2) + z^(4))^(8) = C(0) C(1) z^...

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  17. Let f(x) = a(0) + a(1)x + a(2)x^(2) + …+ a(2n) x^(2n) and g(x) = b...

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  18. If a0,a1,a2,.... be the coefficients in the expansion of (1+x+x^2)^n ...

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  19. If a(0), a(1), a(2),… are the coefficients in the expansion of (1 ...

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  20. If a(0), a(1), a(2),… are the coefficients in the expansion of (1 ...

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