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

The coefficient of `x^r [0lt=rlt=(n-1)]` in the expansion of `(x+3)^(n-1)+(x+3)^(n-2)(x+2)+(x+3)^(n-3)(x+2)^2+....` `+(x+2)^(n-1)` is
`a.^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

Text Solution

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

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  12. Solve the given inequality and show the graph of the solution on numbe...

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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 coefficient of x^4 in the expansion of (2-x+3x^2)^6dot

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  15. If for z as real or complex, (1+z^2+z^4)^8=C0+C1z^2+C2z^4++C(16)z^(32)...

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  16. Find the solution of the given inequality for real x x/3 > x/2 + 1

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  17. Find the solution of the given inequality for real x : x/2 + x/3 < 5

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  18. Find the solution of the following inequality for real x : 7x + 3 ge 4...

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  19. Solve the inequality 2 le 2x - 6 le 4

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  20. Solve the inequality 6 le 2x - 4 le 12

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