iran-konkur 2022 Q125

iran-konkur · Other · konkur-riazi_1401_specialized Permutations & Arrangements Forming Numbers with Digit Constraints
125-- How many five-digit natural numbers can be written with non-repeating digits such that among those digits, one is between two even and two odd digits?
(1) $1850$ (2) $1950$ (3) $2150$ (4) $2500$
\textbf{125--} How many five-digit natural numbers can be written with non-repeating digits such that among those digits, one is between two even and two odd digits?

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(1) $1850$ \hfill (2) $1950$ \hfill (3) $2150$ \hfill (4) $2500$

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