The value of ${ }^n C_2+{ }^n C_3+\ldots+{ }^n C_n$ is

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Aayush Asked Mar 5

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Each observation of a raw data whose variance is $\sigma^2$, is multiplied by n. What is the variance of the new set?

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Show that $-{a}$ is not the inverse of ${a} \in {N}$ for the addition operation + on ${N}$ and $\frac{1}{{a}}$ is not the inverse of $a \in {N}$ for multiplication operation $\times$ on ${N}$ for ${a} \neq 1$.

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The sum of n terms of the series $\frac{3}{1^2}+\frac{5}{1^2+2^2}+\frac{7}{1^2+2^2+3^2}+\ldots$ is

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The value of $\cos \frac{2 \pi}{15} \cos \frac{4 \pi}{15} \cos \frac{8 \pi}{15} \cos \frac{14 \pi}{15}$ is

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The value of ${ }^n C_2+{ }^n C_3+\ldots+{ }^n C_n$ is

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