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Question
How many 4 letter words can be formed using letters in the word MADHURI if letters can be repeated
Solution
There are 7 letters in the word MADHURI.
A 4 letter word is to be formed from the letters of the word MADHURI and repetition of letters is allowed.
∴ 1st letter can be filled in 7 ways.
2nd letter can be filled in 7 ways.
3rd letter can be filled in 7 ways.
4th letter can be filled in 7 ways.
∴ Total no. of ways a 4-letter word can be formed
= 7 x 7 x 7 x 7
= 2401
∴ 2401 four-lettered words can be formed when repetition of letters is allowed.
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