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Find the number of 4 letter words, with ...

Find the number of 4 letter words, with or without meaning, which can be formed out of the letters of the word MAKE, where the repetition of the letters is not allowed.

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There are as many words as there are ways of illing in 4 vacant places by the 4 letters, keeping in mind that the repetition is not allowed. The first place can be filled in 4 different ways by anyone of the 4 letters M, A, K, E.
Following which, the second place can be filled in by anyone of the remaining 3 letters in 3 different ways, following which the third place can be filled in 2 different ways: following which , the fourth place can be filled in 1 way.
Thus, the number of ways in which the 4 places can be filled, by the multiplication principle, is `4xx3xx2xx1=24`.
Hence, the required number of words is 24.
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