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Home » But perhaps we miscalculated initial correct. - Network4

But perhaps we miscalculated initial correct. - Network4

📅 May 17, 2026 👤 scraface

May 17, 2026

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📌 Solution: We are forming a 6-digit code with the following constraints:

📌 No further restrictions on middle digits

📌 We use a step-by-step digit assignment:

📌 However, we must ensure no reuse. Since $ d_1 $ is odd, $ d_6 $ (even) cannot conflict with it. So $ d_6 $: 5 choices

📌 But: after choosing $ d_1 $ and $ d_6 $, 8 digits remain (10 total minus 2 used).

📌 But the middle digits depend on $ d_1 $ and $ d_6 $, and must be distinct and different from these two.

📌 But we must consider whether $ d_1 $ and $ d_6 $ could overlap in value — but since one is odd, one is even, they cannot be equal. So no overlap. Therefore, after choosing $ d_1 $ and $ d_6 $, 8 digits remain.

📌 Choose $ d_2, d_3, d_4, d_5 $: 4 distinct digits from the remaining 8, in order

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