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Home » I Met My Demon… You Won’t Believe What Happened Next! - AMAZONAWS

I Met My Demon… You Won’t Believe What Happened Next! - AMAZONAWS

📅 March 11, 2026 👤 scraface

Mar 11, 2026

I Met My Demon… You Won’t Believe What Happened Next!

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📌 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:

📌 Problem:** A science journalist covers a pollination study: 68 plant species rely on bees, 49 on butterflies, and 21 on both. If 14 species rely on neither pollinator, what is the total number of plant species surveyed?

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