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Home  >>  CBSE XI  >>  Math  >>  Permutations and Combinations
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How many words,with or without meaning can be made from the letters of the word MONDAY,assuming that no letter is repeated if, All letters are used but first letter is a vowel?

$\begin{array}{1 1}(A)\;240\\(B)\;225\\(C)\;150\\(D)\;275\end{array} $

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1 Answer

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Number of words formed with 5 letters $\Rightarrow 5!$
$\Rightarrow 5\times 4\times 3\times 2\times 1$
$\Rightarrow 120$
Similarly when words begin with 'O' number of such words =120
$\therefore$ Number of words beginning with vowel
$\Rightarrow 2\times 120$
$\Rightarrow 240$
Hence (A) is the correct answer.
answered May 13, 2014 by sreemathi.v

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