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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: 📰 Universe Sandbox 2 Steam 7242615 📰 Alta Dena Milk 5759837 📰 This Big Blue House Wont Let You Leave Its Glowing Wallsyoull Never Let Go 1752610 📰 No Ire 5878504 📰 Doom 2 5157353 📰 U Save Plumbing 9170034 📰 Cutest Pokmon Youll Love These Adorable Creatures Are Here To Steal Your Heart 409215 📰 Maximize Your Savings2025 Hsa Contribution Limit Could Slash Your Taxes 3298115 📰 You Wont Believe What Happens When You Try The Minish Cap Walkthrough Heres The Shocking Secret 6019214 📰 Airfly Pro 2 5758349 📰 Reperz Mega Evolutions Will Shock You These Are The Legendary Leaps You Need 5663745 📰 Augmedix Stock Soaredwhat Experts Are Saying About Its Future Growth And Market Edge 5425207 📰 John Travolta 2025 Shocked The World Whats Coming Later This Year Exclusive Predictions 5328327 📰 Dresser In Spanish Language 3649303 📰 Classic Super Nes 3498656