Question
How many words with or without meaning can be formed using all the letters of the word ‘MONDAY’ assuming, that no letter is repeated, if all letters are used but the first letter is a vowel?
Solution
Number of letters in word 'Monday' = 6 (all distinct)
Number of vowels = 2 (O and A)
All six letters to be used but first letter is a vowel.
Number of arrangements for a vowel in box 1 = 
...(i)
(Two vowels and one box)
We are left with 5 letters and 5 boxes.
∴ Number of permutations = ![<pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array)
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#6 {main}</pre>](/application/zrc/images/qvar/MAEN11033759-3.png)
...(ii)
∴ From (i) and (ii), by fundamental principle of counting, total words formed
= 2 x 120 = 240
