determiner-le-total-de-nombres-de-5-chiffres-comprises-entre-10000-et-50000-divisibles-simultanement-par-5-et-9-sans-utiliser-les-formules-d-arrangement-et-de-combinaison-

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Question Number 197960 by a.lgnaoui last updated on 06/Oct/23

$$\mathrm{determiner}\mathrm{le}\mathrm{total}\mathrm{de}\mathrm{nombres}\mathrm{de}$$$$5\mathrm{chiffres}\mathrm{comprises}\mathrm{entre}10000\mathrm{et}$$$$50000\mathrm{divisibles}\mathrm{simultanement}\mathrm{par}$$$$5\mathrm{et}9$$$$(\mathrm{sans}\mathrm{utiliser}\mathrm{les}\mathrm{formules}\mathrm{d}\mathrm{arrangement}$$$$\mathrm{et}\mathrm{de}\mathrm{combinaison})$$$$$$

Answered by mr W last updated on 07/Oct/23

$$thefirstoneis10035$$$$thelastoneis49995$$$$\Rightarrow 1+\frac{49995-10035}{45}=889numbers$$$$or$$$$\lfloor \frac{50000}{45}\rfloor -\lfloor \frac{9999}{45}\rfloor$$$$=1111-222$$$$=889numbers$$

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