How many 4 letters words with or without meaning can be formed out of the letters of the word wonderful if repetition of letters is not allowed?

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How many 4

Solution : There are 10 letters in the word LOGARITHMS. So, the number of 4-letter words is equal to the number of arrangements of 10 letters, taken 4 at a time, i.e., `. ^[10]P_[4]=5040`.

How many 4

Solution : The word, 'LOGARITHMS' contains 10 different letters.
Number of 4-letter words formed out of 10 given letters
`=""^[10]P_[4]=[10xx9xx8xx7]=5040. `
Hence, the required number of 4-letter words `= 5040.

How many 4

Therefore, the number of ways in which four letters of the word MATHEMATICS can be arranged is 2454.

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