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Home » d = \frac16807 = 240 - Treasure Valley Movers

d = \frac16807 = 240 - Treasure Valley Movers

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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📌 The number of distinct sequences is given by the multinomial coefficient:

📌 Question: A bioinformatician is processing 12 sequencing reads, consisting of 5 from gene $ X $, 4 from gene $ Y $, and 3 from gene $ Z $. If these reads are aligned in a sequence one per day over 12 days, and reads from the same gene are indistinguishable, how many distinct alignment orders are possible?

📌 Solution: We are arranging 12 items with repeated types:

📌 Question: John and Sepp each independently arrive at a lab at a random time between 8:00 AM and 9:00 AM. Given that John arrives after Sepp, what is the probability that Sepp arrived before 8:30 AM?

📌 We are given that $ J > S $, and we are to compute:

📌 By definition of conditional probability:

📌 Solution: First, note that the sum of three numbers is even if and only if:

📌 Exactly one is even and two are odd.

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