How many words can be made from the word “APPLE” using all the alphabets with repetition and without repetition respectively?
Question
How many words can be made from the word “APPLE” using all the alphabets with repetition and without repetition respectively?
Solution
Sure, let's break it down:
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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.
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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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