The term independent of x in (1+x)m1+1xn, is

# The term independent of x in

1. A

2. B

$\mathrm{m}+{\mathrm{nC}}_{\mathrm{n}+1}$

3. C

4. D

None of these

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### Solution:

To find Term independent of x

coefficient of x0 in $\left\{\left(1+\mathrm{x}{\right)}^{\mathrm{m}}\cdot {\left(\frac{\mathrm{x}+1}{\mathrm{x}}\right)}^{\mathrm{n}}\right\}$

$⇒$coefficient of x0 in $\left\{\frac{\left(1+\mathrm{x}{\right)}^{\mathrm{m}+\mathrm{n}}}{{\mathrm{x}}^{\mathrm{n}}}\right\}$

$⇒$ Coefficient of xn in $\left(1+\mathrm{x}{\right)}^{\mathrm{m}+\mathrm{n}}$

$⇒$ Coefficient of xn in

.'. Term independent of. x

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