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Home » \( b = 6 \) feet. - Midis

\( b = 6 \) feet. - Midis

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 The smallest three-digit multiple of 437 is $437 \times 1 = 437$ (since $437 \times 2 = 874$ is also three-digit, but 437 is the smallest).

📌 Thus, the answer is $\boxed{437}$.

📌 Question: What is the smallest positive integer whose square ends in 25, relevant to a quantum computing algorithm’s cycle synchronization?

📌 Solution: Let $x^2 \equiv 25 \pmod{100}$.

📌 This implies $x \equiv \pm5 \pmod{10}$. Testing $x = 5$: $5^2 = 25$ ends in 25.

📌 Thus, the smallest such integer is $\boxed{5}$.Question: An entomologist studies 5 species of bees, 3 species of wasps, and 2 species of beetles. If she observes one species per day for 10 days, how many distinct observation sequences are possible if species within each category are indistinguishable?

📌 Solution: The problem requires calculating the number of distinct permutations of 10 items where there are 5 identical bees, 3 identical wasps, and 2 identical beetles. The formula for multinomial coefficients applies:

📌 \frac{10!}{5! \cdot 3! \cdot 2!} = \frac{3628800}{120 \cdot 6 \cdot 2} = \frac{3628800}{1440} = 2520

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