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what happens if the groundhog sees his shadow - Imagemakers

📅 May 1, 2026 👤 scraface

May 01, 2026

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🔥 Popular Posts

\binom{12 - 4 + 1}{4} = \binom{9}{4} = \frac{9 \cdot 8 \cdot 7 \cdot 6...
Thus, the number of valid combinations is $ \boxed{126} $.
Question: In a wildlife reserve, 6 types of birds are monitored, each...
Wait — that's similar to a previous problem. Let's adjust to a fresh v...
Corrected question:
A conservationist is deploying GPS trackers on 7 endangered birds, ass...
Solution: We want the number of onto functions from 7 birds to 3 bands...
\sum_{k=0}^{3} (-1)^k \binom{3}{k} (3 - k)^7
Compute terms:
$ k = 0 $: $ \binom{3}{0} \cdot 3^7 = 1 \cdot 2187 = 2187 $

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