The word ?ACETIOUS is one of the only words in the English language to contain all five vowels in alphabetical order. If these nine letters are arranged randomly, what is the probability that the resulting “word” also contains the five vowels in order?
Answer:
The word ?ACETIOUS is one of the only words in the English language to contain all...
The word FACETIOUS is one of the only words in the English language to contain all five vowels in alphabetical order. If these nine letters are arranged randomly, what i:s the probability that the resulting "word" also contains the five vowels in order?
COUNTING TECHNIQUES: PROBABILITY AND STATISTICS
3. The word FACETIOUS is one of the only words in the English language to contain all five vowels in alphabetical order. If these nine letters are arranged randomly, what is the probability that the resulting"word" also contains the five vowels in order?
2. Construct a NFA for the language over Σ-{a,b,c} that contains all words whose symbols are in alphabetical order.
2. Construct a NFA for the language over Σ-{a,b,c} that contains all words whose symbols are in alphabetical order.
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Estimating the entropy of English (Problem 14.1-5 of textbook) Estimate the information per letter in the English language by various method but is good enough to get a rough idea.) ter is independent of the others. (This is not true, (a) In the first method, assume that all 27 characters (26 letters and a space) are equiprobable. This is a gross approximation, but good for a (b) In the second method, use the table of probabilities of various...
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On a far away galaxy, Aliens developed a (weird) limited language using only the words "good", "mood" and "food". They make new words by concatenating (juxtaposing) these words in any order. For example "foodgoodfood" is a valid word in their language. Any word produced like this is a correct word in their language. Prove using strong induction that any word in this language has an even number of o's. (Hint: Use strong induction on the number of sub-words in the...