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harry potter is the villain - Anadea

📅 May 16, 2026 👤 scraface

May 16, 2026

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📌 No — we fix the repeated word, then choose two others, then arrange. Each sequence is uniquely generated.

📌 Alternatively, compute using multinomial:

📌 Number of sequences with one word once, one word twice, and a third word once (and one unused) — but in 4 rolls, the frequency vector is (2,1,1,0).

📌 Number of such sequences:

📌 Choose which word appears twice: 4 choices

📌 Choose which word appears once (different): 3 choices

📌 Choose which word appears once (different): 2 choices

📌 Choose which word is unused: 1 choice

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Since 7 divides 91 and 7 is prime, it is a prime factor.
Find the smallest 3-digit number divisible by 7:
Find the largest 3-digit number divisible by 7:
Find the smallest prime factor of 133.
Since 7 divides 133 and 7 is prime, it is the smallest prime factor.
How many positive 4-digit numbers are divisible by 15?
A number divisible by 15 must be divisible by both 3 and 5.
We count all 4-digit numbers divisible by 15.
Solution: First, factor $1080$. We have:
We compute all such divisors and sum them.

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