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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?

   Q.9.     How many words, with or without meaning can be made from the letters of the
              word MONDAY, assuming that no letter is repeated, if.

             iii) all letters are used but first letter is a vowel?

Answers (1)
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There are 6 letters and 2 vowels in word MONDAY.

Therefore, the right most position can be filled by any of these 2 vowels in 2 ways.

Remaining 5 places of the word  can be filled using any of rest 5 letters of the word MONDAY.

Hence, the required number of words formed using 5 letters at a time   =^5P_5

                                                                                            =5!

                                                                                             =5\times 4\times 3\times 2\times 1

                                                                                             =120

Words formed starting from vowel using 6 letters =2\times 120=240

 

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