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now and then here and there - American Beagle Club

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Case 2: Both A and B are selected

📌 Then we choose 1 more from the remaining 4:

📌 Total valid selections:

📌 Thus, the number of valid ways to choose 3 tributaries is:

📌 $$Question: A researcher tracks 120 birds using GPS. What is the sum of the distinct prime factors of 120?

📌 Solution: Factor 120 into primes: $120 = 2^3 \times 3 \times 5$. The distinct primes are 2, 3, and 5. Their sum is $2 + 3 + 5 = 10$. \boxed{10}

📌 Question: In a study of 45 bird species, what is the probability that a randomly selected number from 1 to 45 is a factor of 45?

📌 Solution: The factors of 45 are 1, 3, 5, 9, 15, 45. There are 6 factors. The probability is $\frac{6}{45} = \frac{2}{15}$. \boxed{\dfrac{2}{15}}

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