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📰 Solution: First, arrange the 6 modules without restrictions: $\frac{6!}{3!2!1!} = 60$. For the constraint, note the biology lab (B) must not follow both chemistry experiments (C). Total valid arrangements: Calculate total permutations where B is not after both C's. This is equivalent to ensuring B is not in a position after both C's. Using combinatorial cases: B is first, or B is second with at least one C before it, or B is third with at least two C's before it. Alternatively, recognize that the condition excludes only $ \frac{1}{3} $ of all permutations where B is after both C's (since the C's can be ordered in 2 ways). Thus, valid arrangements: $60 - \frac{1}{3} \times 60 = 40$. The final answer is $\boxed{40}$. 📰 Question: A herpetologist studies 7 snake species across 4 remote habitats, assigning at least one species to each habitat. If each species is placed in exactly one habitat, how many distribution methods are possible? 📰 Solution: This is a surjective function problem: count the number of ways to partition 7 distinct species into 4 non-empty habitats. Using the inclusion-exclusion principle: $ \sum_{k=0}^4 (-1)^k \binom{4}{k} (4 - k)^7 $. Calculating: $4^7 - \binom{4}{1}3^7 + \binom{4}{2}2^7 - \binom{4}{3}1^7$. Compute each term: $16384 - 4 \times 2187 + 6 \times 128 - 4 \times 1 = 16384 - 8748 + 768 - 4 = 8400$. The final answer is $\boxed{8400}$.**Question: 📰 Kendall Roy 📰 Sources Confirm Wells Fargo Credit Card Hardship Program And The Fallout Continues 📰 Brooklyn New York Map 📰 Coca Cola Zero Vs Coca Cola Light 3996292 📰 Adblock Plus Blocked 8543938 📰 Rentcafe The Hidden Gem Where Coffee Drinks Meet Perfect Workspaces 7621431 📰 Police Reveal Windows 10 Assistant And The Situation Explodes 📰 Exhibit Of Sorrows Game 📰 When Is The Meteor Shower 5906501 📰 Teenage Exocolonist 📰 Nymphomaniac Gameplay 📰 Hidden Gems That Sparkle Beyond The Veil Like Her Bridal Shower Dress Truly Unique 6476005 📰 50 30 20 Method 📰 Fidelity 529 Options The Ultimate Guide To Smarter College Funding Today 2685495 📰 Black Female Superheroes Marvel