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Home » Thus, the number of valid distinct arrangements is: - Carbonext

Thus, the number of valid distinct arrangements is: - Carbonext

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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S = \frac{n}{2}(a + l) = \frac{50}{2}(1001 + 1099) = 25 \cdot 2100 = 5...
Now compute $ 52500 \mod 16 $.
Note that $ 16 = 2^4 $. We can compute $ 52500 \div 16 $, or use modul...
First, $ 1000 \equiv 8 \pmod{16} $, so $ 5000 = 5 \cdot 1000 \equiv 5...
Then $ 52500 = 5000 + 500 = 8 + 500 $
Now $ 500 \div 16 $: $ 16 \cdot 31 = 496 $, so $ 500 \equiv 4 \pmod{16...
Thus $ 52500 \equiv 8 + 4 = 12 \pmod{16} $
Alternatively, divide directly:
$ 52500 \div 16 = 3281.25 $, but compute:
$ 16 \cdot 3281 = 16 \cdot 3000 = 48000 $, $ 16 \cdot 281 = 4496 $, to...

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