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8 June, 09:57

How many three-letter "words" can be made from 5 letters "fghij" if repetition of letters (a) is allowed?

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  1. 8 June, 11:25
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    From the given, there are 5 letters to choose from. For the first letter of the three-letter word, we can choose from all 5 of them.

    Also, for the second letter of the word, we can also have 5 choices because it is stated that repetition is allowed. Similarly, there are also 5 choices for the last letter of the word. By fundamental principle of counting, we multiply the numbers identified in the sentences above,

    n = 5 x 5 x 5 = 125

    Thus, 125 words can be formed from the given letters.
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