^{n}is

^{n}C

_{r}

2. Coefficient of x

^{r}in the binomial expression of (1+x)

^{n}is

^{n}C

_{r}

3. 1. Coefficient of (r+1)th term in the binomial expression of (1-x)

^{n}is (-1)

^{r}

^{n}C

_{r}

4. Coefficient of x

^{r}in the binomial expression of (1-x)

^{n}is (-1)

^{r}

^{n}C

_{r}

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