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📰 #### 36Question: How many 6-digit binary numbers contain exactly one occurrence of two consecutive 1s?
📰 Solution: To determine the number of 6-digit binary numbers with exactly one 11 block, we analyze each possible position of the 11 and ensure no additional consecutive 1s. The 11 can occupy positions (1,2), (2,3), (3,4), (4,5), or (5,6). For each case, the remaining digits must avoid forming additional 11 blocks:
📰 Question: A biologist is studying 5 different bird species in the Amazon. How many ways can they be assigned to 3 distinct ecological zones, ensuring each zone has at least one bird species?
