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📰 \binom{7}{4} \cdot \binom{4}{2} \cdot 4! = 35 \cdot 6 \cdot 24 = 5040. 📰 But if the "order" refers only to the application of the operation (i.e., 2 positions are distinct for pumping), the count is $ \binom{7}{4} \cdot \binom{4}{2} \cdot \frac{4!}{2!} = 35 \cdot 6 \cdot 12 = 2520 $. Clarifying the problem's intent, the most plausible interpretation leads to $\boxed{2520}$. 📰 Question: A nanotechnology engineer is designing a solar-powered water harvesting system with 5 identical microfilters. How many distinct ways can 8 unique water source samples be distributed into the filters if each filter can hold any number of samples? 📰 Msty Dividend Yield 6614828 📰 You Wont Believe The Hidden Gba Fire Red Secrets That Will Blow Your Mind 6756922 📰 What Is Net Benefit Com Heres The Game Changing Formula Every Investor Needs 4849638 📰 Disgusting Black Creatures Roblox Id 📰 Todd And Julie Chrisley 4127542 📰 New Development Robux Conversion Rate And The Fallout Begins 📰 4 Archero 2 Fans Grab Your Free Code Limited Time Delivery Inside 2180744 📰 The Ultimate Lawn Mower Simulator Thatll Make You Architect Your Perfect Yard 3953080 📰 Kryptonian Origins Revealed How This Alien Changed Copacetic 9885427 📰 Fios Tv Equipment 2374985 📰 Idfcshare Price 📰 Stephen Mcdaniels Hidden Truth Exposes A Life Of Power And Silence 1195772 📰 Emergency Alert Item Shop Today And It Goes Global 📰 Recovery Windows 10 Usb Download 1854980 📰 No Tax On Tips Act