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📰 Thus, the number of ways is $\boxed{90}$. 📰 Question: A hydrologist is modeling groundwater flow through 7 distinct soil layers. How many distinct sequences of 4 layers can be selected and ordered for analysis if the operation "pump water" is applied to exactly 2 of them? 📰 Solution: First, choose 4 distinct layers from 7, which is $ \binom{7}{4} = 35 $. Then, select 2 of these 4 layers to apply the "pump water" operation, which can be done in $ \binom{4}{2} = 6 $ ways. The remaining 2 layers are analyzed without the operation, and the sequence of 4 layers is ordered, giving $ 4! = 24 $ permutations. However, since the operation affects only the selection (not the order of non-pump layers), the total is: 📰 Amazon Refunds 3874796 📰 Hello Kitty X Pj Pants Trend Taking Over 2024 Dont Miss These Must Have Jeans 6686478 📰 Bjc Airport 9925331 📰 The Guyver Must Die Uncovering The Dark Truth Behind This Superhuman Fighter 9405652 📰 Fortnite News 251738 📰 Shocking Vegan Meal Prep Hacks That Fit Busy Schedules Like Never Before 1186905 📰 Where To Watch Timberwolves Vs Golden State Warriors 2828835 📰 Lipogenesis 2697601 📰 This Simple Trick Lets You Sort Dates In Excel Faster Than You Think 4124200 📰 From Leg Warmers To Power Shoulders The Glam Revolution Of 80S Fashion Ladies 3494388 📰 You Wont Believe What Happens When One Frog Meets Another 141668 📰 Kentucky University Fees 8085737 📰 Apple Spreadsheet Application 9277339 📰 Acquisitions Of Microsoft 960130 📰 Shocking Fact Behind Smcis Down Todaylisten Up Before Its Gone 8478923