E:15760: Revision history

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19 January 2025

  • curprev 16:5616:56, 19 January 2025‎ Andrei.Horvat talk contribs‎ m 1,129 bytes −1‎ No edit summary Tag: Visual edit
  • curprev 16:5416:54, 19 January 2025‎ Andrei.Horvat talk contribs‎ 1,130 bytes +1,130‎ Created page with "'''E:15760 (Cristina și Mihai Vijdeluc)''' ''Aflați numerele <math>\overline{abcd}</math> și <math>n</math> pentru care <math>\overline{abcd}+a+b+c+d=n!</math>.'' '''Soluție.''' Cum <math>1001 \le \overline{abcd}+a+b+c+d \le 10035</math>, avem <math>1001 \le n! \le 10035</math>, de unde rezultă <math>n=7</math>, cu <math>n! = 7! = 5040</math>. Deoarece <math>1 \le a+b+c+d \le 36</math>, rezultă <math>5004 \le \overline{abcd} \le 5039</math>, ceea ce implică <..."
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