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Home » Why the Star Wars Movie Order Is the Ultimate Must-Watch Trend This Year! - DNSFLEX

Why the Star Wars Movie Order Is the Ultimate Must-Watch Trend This Year! - DNSFLEX

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 Question: In a wildlife reserve, 6 types of birds are monitored, each with a GPS device. Each device can transmit data in one of 4 frequency bands. If at least one bird must use each band, how many ways can the frequency bands be assigned to the 6 birds?

📌 Wait — that's similar to a previous problem. Let's adjust to a fresh version.

📌 Corrected question:

📌 A conservationist is deploying GPS trackers on 7 endangered birds, assigning each to one of 3 operational frequency bands. How many assignments ensure that each band is used by at least one bird?

📌 Solution: We want the number of onto functions from 7 birds to 3 bands. Using inclusion-exclusion:

📌 \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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