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📰 The probability is $\boxed{\dfrac{9}{38}}$. 📰 Question: A circular table has 7 scientists (3 biologists, 2 physicists, 2 chemists). How many seating arrangements are possible if scientists of the same discipline must sit together? 📰 Solution: Treat each discipline as a block. There are $3!$ ways to arrange the blocks around the table. Within the biology block: $3!$, physics: $2!$, and chemistry: $2!$. For circular permutations, fix one block to eliminate rotational symmetry: 📰 You Wont Believe What Happened When Numberlinacom Unveiled These 7 Secrets 6926455 📰 You Wont Believe How This Folding Stock Boosts Your Portfolio Try It Today 8565455 📰 Rockland Santa 6638680 📰 You Wont Believe What Happened When This Person Opened Their Birthday Card 8225864 📰 The Impossible Mohezi Moment You Must Watch Before He Disappears 4109360 📰 Zipcode Of San Antonio 269688 📰 Samsara Stock Price Soars To All Time Highheres Why Investors Are Obsessed 5183737 📰 Max Atm Deposit 7489151 📰 This Simple Employee Stock Purchase Plan Hack Could Change Your Retirement Forever 4476414 📰 The Ultimate Feliz Dia Guide Share This Make Someones Day Today 4504684 📰 Air Fryer Tater Tots The Cracking Crispy Secret Youve Been Missing 2935947 📰 Softball Games Online 1446892 📰 Watch How Framed Movie Game Rewrote The Rules Of Interactive Cinema Heres Why Its A Must Play 7303502 📰 Solution We Seek The Smallest Positive Integer N Such That 4075244 📰 Yakuza Kiwami Uncovered How This Mafia Titan Changed The Game Forever 2051265