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Home » BREAKING: Cassie Goes Nude—This Viral Photo Is Blowing Heads Off! - Sterling Industries

BREAKING: Cassie Goes Nude—This Viral Photo Is Blowing Heads Off! - Sterling Industries

📅 April 18, 2026 👤 scraface

Apr 18, 2026

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📌 Solution: This is a combinatorics problem with adjacency constraints. Each region can be in one of 3 states: C, O, or R. However, adjacent regions cannot have the same state.

📌 Thus, the total number of valid configurations is:

📌 Question: A paleontologist is categorizing 10 fossil specimens into 3 distinct time periods: Early, Middle, and Late. If each fossil must be assigned to exactly one period, and no period can have more than 5 fossils, how many valid assignments are there?

📌 Solution: We are to count the number of integer solutions to:

📌 where $ x_i $ is the number of fossils assigned to period $ i $.

📌 Use inclusion-exclusion. First, count all non-negative integer solutions to $ x_1 + x_2 + x_3 = 10 $, then subtract those where any $ x_i > 5 $.

📌 Total solutions (without restriction):

📌 There are 3 such sets $ A_1, A_2, A_3 $, so total subtract:

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