QQuestionAnatomy and Physiology
QuestionAnatomy and Physiology
The Khmer alphabet has 74 letters which includes 33 consonants, 23 vowels, and various diacritics. Further, the Khmer language has its own set of numerals representing $0,1,2,3,4,5,6,7,1$ and 9 . If any five letters of the Khmer alphabet followed three numerals by could be used to form an eightcharacter code, how many codes would have at least one repeated letter or one repeated numeral?
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Step 1Let's solve this step by step:
Step 2: Understand the components
- Total letters in Khmer alphabet: 74 - Total numerals: 10 (0 - 9) - Code structure: 5 letters followed by 3 numerals - Total code length: 8 characters
Final Answer
The number of codes with at least one repeated letter or numeral is \binom{74}{5} \times \binom{10}{3}.
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