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How many words can be made from the word “APPLE” using all the alphabets with repetition and without repetition respectively?

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Solution

Sure, let's break it down:

  1. Without repetition: The word "APPLE" has 5 letters, but two of them are the same (P). So, we have 4 unique letters (A, P, L, E). The number of words that can be made from these 4 unique letters is 4 factorial (4!) which is 432*1 = 24.

  2. With repetition: If we allow repetition, then each of the 5 positions in the word can be any of the 4 unique letters. So, the number of words that can be made is 4^5 = 1024.

So, without repetition, 24 words can be made from the word "APPLE", and with repetition, 1024 words can be made.

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