Q69 / 170 · Manipal (MET) 2017 · Mathematics

The number of ways in which a team of 11 player can be selected from 22 players including 2 of them and excluding 4 of them is

A
${ }^{16} C_{11}$
B
${ }^{16} C_5$
Correct answer
C
${ }^{16} \mathrm{C}_9$
D
${ }^{20} \mathrm{C}_8$

Solution

$\begin{gathered}\text { Number of required ways }={ }^{22-4-2} C_{11-2} \\ ={ }^{16} C_9\end{gathered}$

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

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