Binomial Theorem

Match the items on the right to the items on the left.

\frac{{}^{n}C_{r}}{{}^{n - 1}C_{r - 1}}

\frac{{}^{n}C_{r}}{{}^{n}C_{r - 1}}

C_{0} + C_{1} + C_{2} + . . . . . . + C_{n}

C_{0} + C_{2} + C_{4} + . . . . . . = C_{1} + C_{3} + C_{5} + . . . . .

C_{0} - C_{1} + C_{2} - C_{3} + . . . . . . . + {(- 1)}^{n} C_{n}

\frac{n}{r}

\frac{n - r + 1}{r}

2^{n}

2^{n - 1}