CAPE Pure Mathematics Unit 2 · May/June 2018 · Paper 1 · Question Q17

The binomial coefficient \begin{pmatrix} n \\ 4 \end{pmatrix} is equivalent to

1. (A)\begin{pmatrix} n \\ 3 \end{pmatrix} + \begin{pmatrix} n \\ 1 \end{pmatrix}
2. (B)\begin{pmatrix} n \\ n - 4 \end{pmatrix}
3. (C)\begin{pmatrix} n - 4 \\ n \end{pmatrix}
4. (D)\begin{pmatrix} n \\ n + 4 \end{pmatrix}