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📅 May 5, 2026 👤 scraface

May 05, 2026

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$ 12! = 479001600 $
$ 5! = 120 $, $ 4! = 24 $, $ 3! = 6 $
Denominator: $ 120 \cdot 24 \cdot 6 = 120 \cdot 144 = 17280 $
\frac{479001600}{17280} = 27720
Alternatively, step-by-step:
\frac{12!}{5!4!3!} = \binom{12}{5} \cdot \binom{7}{4} \cdot \binom{3}{...
Thus, the number of distinct eating sequences is $ \boxed{27720} $.Que...
Solution: We are given that $ v $ is a positive multiple of $ 5 $ and...
Start by testing multiples of $ 5 $:
$ v = 5 $: $ 5^3 = 125 < 1700 $

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