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Home » Music IGNITION: Meet the Black Female Singers Redefining Hits This Year! - Dachbleche24

Music IGNITION: Meet the Black Female Singers Redefining Hits This Year! - Dachbleche24

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Then assign the 3 subsets to the 3 distinct environments: \(3! = 6\),

📌 So total: \(25 \times 6 = 150\).

📌 Thus, the number of distinct schedules is \(\boxed{150}\).Question: How many of the 100 smallest positive integers leave a remainder of 2 when divided by 5?

📌 Solution: We are looking for integers $ n $ such that $ n \equiv 2 \pmod{5} $ among the first 100 positive integers.

📌 The sequence of such numbers is $ 2, 7, 12, \dots, $ forming an arithmetic progression with first term 2 and common difference 5.

📌 Let the general term be $ a_k = 2 + (k - 1) \cdot 5 = 5k - 3 $.

📌 We want $ a_k \leq 100 $, so:

📌 5k - 3 \leq 100 \Rightarrow 5k \leq 103 \Rightarrow k \leq \frac{103}{5} = 20.6

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