# There are 9 Judges in a beauty contest. A particular candidate is selected as the winner if she gets maximum number of votes in favour. In how many ways a particular candidate is declared the winner?

$\begin{array}{1 1} 126 \\ 256 \\ 210 \\ 255 \end{array}$

## 1 Answer

For a particular candidate to win, she needs at least 5 votes.
$\therefore$ The required no. of ways
$=^9C_5+^9C_6+^9C_7+^9C_8+^9C_9$
$126+84+36+9+1=256$
answered Sep 6, 2013

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