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How many words can be made from the letters of the word MONDAY assuming that no letter is repeated if (c) All letters are used but the first is a vowel

$\begin{array}{1 1}(A)\;240\\(B)\;320\\(C)\;350\\(D)\;175\end{array} $

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Total no of vowels in the word MONDAY =2
No of ways in which first is a vowel =$2C_1$
And other letters are $5C_5=5!$
$\Rightarrow 5\times 4\times 3\times 2\times 1$
$\Rightarrow 120$
Total no of ways =$12\times 2C_1$
$\Rightarrow 120\times 2$
$\Rightarrow 240$ ways
Hence (A) is the correct answer.
answered May 19, 2014 by sreemathi.v

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