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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: 📰 Svu Season 26 1526240 📰 Marvels How The Income Upper Class Maintains Its Charts And Lifestyleyou Wont Believe 7 2029599 📰 Rune Factory The Secret Feature Thats Taking The Rpg World By Storm 6190687 📰 Reflector App 7395070 📰 Galaxy Themes 9794090 📰 Master The Command Prompt 7 Commands That Will Change Your Tech Game Forever 5387771 📰 Perimeter 2L W 23W W 24W 8W 60 7154515 📰 Craving Pork Chops This Air Fryer Method Shocked Everyoneget Started Now 2533280 📰 Roblox Spray Paint Gear 1224187 📰 Your Uw Mychart Missed Delivery Could Be Ruining Your Health Forever 4805722 📰 In Ques 5439035 📰 Your New Mix Changes Everything You Thought You Knew 1838338 📰 Perfect Preppy Christmas Wallpaper Your Holiday Aesthetic Is About To Look Elegant 1825569 📰 Baseball Detroit 5360540 📰 Unlock Hidden Excel Power Master The Concatenation Function Like A Pro 4757697