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πŸ“° Solution: Total letters: 26. Vowels: 5, consonants: 21. Total 3-letter arrangements with distinct letters: $26 imes 25 imes 24$. Unfavorable cases (no vowels): $21 imes 20 imes 19$. Favorable probability: $1 - rac{21 imes 20 imes 19}{26 imes 25 imes 24} = 1 - rac{7980}{15600} = 1 - rac{133}{260} = rac{127}{260}$. $oxed{\dfrac{127}{260}}$ πŸ“° Question: If a historian selects 3 manuscripts at random from a collection of 15, where 5 are from the 18th century, what is the probability that all 3 selected are 18th-century manuscripts? πŸ“° Solution: The number of ways to choose 3 18th-century manuscripts is $inom{5}{3}$. Total ways to choose 3 manuscripts from 15 is $inom{15}{3}$. The probability is $ rac{inom{5}{3}}{inom{15}{3}} = rac{10}{455} = rac{2}{91}$. $oxed{\dfrac{2}{91}}$Question: If the combined population of two marine mammal species in a region is 10 and the sum of their squared populations is 50, find the sum of their cubes. πŸ“° Kaku Alone Changed Everythingdont Miss This Life Changing Discovery 3415556 πŸ“° Game Cube Games 5573352 πŸ“° Ann Burrell Death 9875618 πŸ“° Spin The Apple Wheel Now And Unlock Your Biggest Surprise Yet 8628288 πŸ“° Gong Yoo Age 7826803 πŸ“° Bank Of Amr 4708317 πŸ“° Zorua Evolves 1788481 πŸ“° Black And Red Make You The Ultimate Momentdont Miss This Bold Fashion Breakout 2276857 πŸ“° Amc Fashion Valley Movie Theater 4731871 πŸ“° Ttc Isnt Just Abbreviationsheres The Shocking Real Meaning You Missed 8644776 πŸ“° These Headsets Are Changing Gaming Foreverwatch Why 5142405 πŸ“° Mike Evans Injury Update 9949025 πŸ“° Frash Soccer 5521433 πŸ“° How To Calculate Concentration Molarity 2272716 πŸ“° Reese Witherspoons Hidden Nude Scene Was No Secretheres The Truth 7645122