The last positive integer $n$ such that $\begin{pmatrix} n - 3 \ 3 \end{pmatrix} + \begin{pmatrix} n - 1 \ 4 \end{pmatrix} \begin{pmatrix} n \ 3 \end{pmatrix}$ is

Question

The last positive integer $n$ such that $\begin{pmatrix} n - 3 \ 3 \end{pmatrix} + \begin{pmatrix} n - 1 \ 4 \end{pmatrix} > \begin{pmatrix} n \ 3 \end{pmatrix}$ is

Dr. Abubacker · Accepted Answer

The correct answer is Option D: 9.

Q. The last positive integer $n$ such that $\begin{pmatrix} n - 3 \\ 3 \end{pmatrix} + \begin{pmatrix} n - 1 \\ 4 \end{pmatrix} > \begin{pmatrix} n \\ 3 \end{pmatrix}$ is

Explanation

Reviewed by Dr. Abubacker

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