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PART - 1 CH - 7 Binomial Theorem — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSPART - 1 CH - 7 Binomial Theorem1 Mark
Question
Write the value of ${ }^{30} C _1+{ }^{30} C _2+{ }^{30} C _3+\ldots \ldots+{ }^{30} C _{30}$
✓

Answer

We know that :
$\begin{array}{l}{ }^n C_1+{ }^n C_2+{ }^n C_3+{ }^n C_4+\ldots \ldots{ }^n C_n=2^n-1 \\\therefore \quad{ }^{30} C_1+{ }^{30} C_2+{ }^{30} C_3+\ldots \ldots+{ }^{30} C_{30}=2^{30}-1\end{array}$

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