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Home » Mahito Revealed the #1 Mystery Why This Name Secretly Controls Trends! - Crankk.io

Mahito Revealed the #1 Mystery Why This Name Secretly Controls Trends! - Crankk.io

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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Now, within the vowel block, we arrange the 5 vowels: I, I, I, O, A.
Number of distinct permutations:
\frac{5!}{3!} = \frac{120}{6} = 20
Total number of distinct words:
9! \times \frac{5!}{3!} = 362880 \times 20 = 7257600
Thus, the total number of distinct words is $\boxed{7257600}$
Question: Five integers are selected uniformly at random from the set...
Solution: We are selecting 5 distinct integers independently and unifo...
Since the selection is with replacement not allowed (standard in such...
But for precision, consider the maximum possible sum of two largest: 5...

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This is a Riemann sum. Split the sum:
a_n = \sum_{k=1}^{n} \frac{k}{n} - \frac{1}{3} \sum_{k=1}^{n} \left( \...
= \frac{1}{n} \sum_{k=1}^{n} k - \frac{1}{3n^3} \sum_{k=1}^{n} k^3
Use formulas:
$ \sum_{k=1}^{n} k = \frac{n(n+1)}{2} $
$ \sum_{k=1}^{n} k^3 = \left( \frac{n(n+1)}{2} \right)^2 $
a_n = \frac{1}{n} \cdot \frac{n(n+1)}{2} - \frac{1}{3n^3} \cdot \left(...
= \frac{n+1}{2} - \frac{1}{3n^3} \cdot \frac{n^2(n+1)^2}{4}
Simplify the second term:
\frac{1}{3n^3} \cdot \frac{n^2(n+1)^2}{4} = \frac{(n+1)^Question: A hi...

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