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📰 Question: A historian of science is studying the development of probability theory and examines a 17th-century manuscript containing all permutations of the letters in the word PROBABILITY. If the historian randomly selects one such permutation, what is the probability that the vowels appear in alphabetical order (i.e., A, I, O — but in this word, only A and I and O appear; note: PROBABILITY has letters: P, R, O, B, A, B, I, L, T, Y — vowels are A, O, I. Wait: check vowels: A, O, I. So vowels are A, I, O — and the condition is that in the permutation, A, I, O appear in alphabetical order: A before I before O. 📰 Vowels in PROBABILITY are A, I, O (since B, R, B, L, T, Y are consonants). So we have three distinct vowels: A, I, O. 📰 Total number of distinct permutations of the letters in PROBABILITY: 📰 Frac12 Times B 4 Times H 3105262 📰 500 Japanese Yen How Much In Us Cash This Conversion Will Blow Your Mind 8236522 📰 Where Can I Watch Pokemon 3099314 📰 Perhaps Typo Or Perhaps We Accept Fractional No 1023834 📰 Pressure Washer Hose That Splits Plumbers Hearts 5306872 📰 Pendergrass Ga The Lifesaving Secret Hidden In Plain Sight 2325753 📰 Meijer Gives Away Free Credit Card But Keeps Your Debts Hidden 2110261 📰 Animations Roblox 869817 📰 Zillow Ban Exposed Top 10 Markets Hit Hardact Before Its Too Late 6116215 📰 How To Build A City 4891951 📰 The Ultimate Financial Management System That Even Beginners Use To Get Rich Fast 6706237 📰 Wells Fargo Bank North Platte Nebraska 3799707 📰 Are People Regretting Voting For Trump 8063934 📰 Play With Friends Tonightheres Why Everyones Always Joining In 8432957 📰 Bombshells Restaurant And Bar 9068175