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Home » Kosten für sieben Spielzeugautos: \(7 × 39 = 273\) - Sterling Industries

Kosten für sieben Spielzeugautos: \(7 × 39 = 273\) - Sterling Industries

📅 April 17, 2026 👤 scraface

Apr 17, 2026

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📌 Solution: We are given 9 patent applications: 4 from Company A (indistinguishable among themselves), 3 from Company B, and 2 from Company C. We are to count the number of distinct sequences in which these can be reviewed, where only the company of origin matters (not individual applications, and indistinguishability within companies).

📌 This is a multinomial arrangement problem. The total number of distinct sequences is given by:

📌 Question: An epidemiologist is modeling a disease that spreads over 6 days, with each day classified as low, medium, or high transmission. If exactly 2 days are low, 2 days are medium, and 2 days are high, how many distinct transmission sequences are possible?

📌 Solution: We are to count the number of distinct sequences of length 6, where there are 2 low, 2 medium, and 2 high transmission days. Since the days are ordered over time and the counts per category are fixed, this is a permutation of a multiset.

📌 The total number of such sequences is:

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