QQuestionEnglish
QuestionEnglish
How many five-letter words are there in the English language?
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Answer
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Step 1:Let me solve this systematically using combinatorics and probability principles.
Step 2:: Define the Parameters
- A five-letter word consists of letters from the English alphabet - The English alphabet has 26 letters - We'll assume each letter position can be any letter - We'll assume repetition of letters is allowed
Step 3:: Calculate Total Possible Combinations
- First letter: 26 choices - Second letter: 26 choices - Third letter: 26 choices - Fourth letter: 26 choices - Fifth letter: 26 choices
Step 4:: Apply Multiplication Principle
Total possible combinations = $$26 \times 26 \times 26 \times 26 \times 26
Step 5:: Calculate the Result
26^{5} = 26 \times 26 \times 26 \times 26 \times 26 = 11,881,376
Step 6:: Considerations
- This number represents ALL possible letter combinations - Not all combinations are actual words - Actual dictionary words would be a subset of this total
Final Answer
There are 11,881,376 possible five-letter letter combinations, but significantly fewer actual words in the English language.
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