Q99 / 180 · KCET 2020 · Mathematics

The value of ${ }^{16} C_{9}+{ }^{16} C_{10}-{ }^{16} C_{6}-{ }^{16} C_{7}$ is

  • Correct answer
    A
    0
  • B
    1
  • C
    ${ }^{\prime \prime} C_{0}$
  • D
    ${ }^{17} C_{3}$

Solution

We have, $\begin{aligned} &{ }^{16} C_{9}+{ }^{16} C_{10}-{ }^{16} C_{6}-{ }^{16} C_{7} \\ &{ }^{16} C_{9}+{ }^{16} C_{10}-{ }^{16} C_{10}-{ }^{16} C_{9}\left[\because{ }^{n} C_{r}={ }^{n} C_{n-r}\right]=0 \end{aligned}$

Hence, the correct answer is option: 'A'.

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