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📰 The total number of distinct linear arrangements is given by the multinomial coefficient: 📰 Thus, the number of distinct arrangements is: 📰 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. 📰 Ethel Barrymore 5926071 📰 Nikola Stocks Just Hit A Historic Highheres Why You Need To Invest Now 5827495 📰 Fire Fire Emblem Heroes The Hottest Strategies Every Fan Needs To Know Now 2288935 📰 Jessi Secret Lives Of Mormon Wives 3608898 📰 Playing Games Pc 7576646 📰 Can You Survive Bubble Trouble Game Spoiler Its Far More Chaotic Than You Think 1768419 📰 5 The Baby Tracker That Gets Premium Ratingsis It Worth Your Investment 9254085 📰 Nutrition Facts Of Chick Fil A 4354927 📰 Your Heart Will Blow These Lyrics Are Crying Your Name 2269353 📰 Find Out The Secret Hidden In This Ultimate Word Table Of Contents 6720368 📰 Jon Venables 581465 📰 Top Secrets Of Temucom My Orders Exposed Track My Most Shocking Deliveries Now 4642838 📰 The Hand That Bones Everything Obsessed Tattoo Secrets Only A Skeleton Hand Uncovers 5609118 📰 Watch Gotham Series 1267809 📰 Rocky Horror Show Costumes 3303276