Question Number 145557 by puissant last updated on 06/Jul/21 Answered by Olaf_Thorendsen last updated on 06/Jul/21 $$\left.\mathrm{1}\right) \\ $$$$\mathrm{R}_{{n}} \left({x}\right)\:=\:\left(\mathrm{1}+{x}\right)^{{n}} \:=\:\underset{{k}=\mathrm{0}} {\overset{{n}} {\sum}}\mathrm{C}_{{n}} ^{{k}} {x}^{{k}}…
Question Number 145553 by puissant last updated on 05/Jul/21 Answered by Olaf_Thorendsen last updated on 06/Jul/21 $${On}\:{a}\:{vu}\:{dans}\:{une}\:{question}\: \\ $$$${precedente}\:{que}\:\left(\mathrm{Q}.\mathrm{145557}\right)\:: \\ $$$$\mathrm{C}_{{p}+{q}} ^{{n}} \:=\:\underset{{k}=\mathrm{0}} {\overset{{n}} {\sum}}\mathrm{C}_{{p}}…
Question Number 145468 by puissant last updated on 05/Jul/21 Answered by Olaf_Thorendsen last updated on 05/Jul/21 $$\left.{a}\right) \\ $$$$\mathrm{On}\:\mathrm{note}\:\mathrm{X}\:\mathrm{la}\:\mathrm{variable}\:\mathrm{qui}\:\mathrm{comptabilise} \\ $$$$\mathrm{le}\:\mathrm{nombre}\:\mathrm{de}\:\mathrm{bonnes}\:\mathrm{pieces}\:\mathrm{dans}\:\mathrm{le} \\ $$$$\mathrm{tirage}\:: \\ $$$${p}\left(\mathrm{X}=\mathrm{4}\right)\:=\:\frac{\mathrm{C}_{\mathrm{16}}…
Question Number 145467 by puissant last updated on 05/Jul/21 Answered by Olaf_Thorendsen last updated on 05/Jul/21 $$\left.{a}\right) \\ $$$$\mathrm{Pour}\:\mathrm{former}\:\mathrm{une}\:\mathrm{partie}\:\mathrm{B}\:\mathrm{de}\:\mathrm{E}\:\mathrm{a}\:{k} \\ $$$$\mathrm{elements},\:\mathrm{qui}\:\mathrm{contienne}\:\mathrm{un}\:\mathrm{seul} \\ $$$$\mathrm{elements}\:\mathrm{de}\:\mathrm{A},\:\mathrm{il}\:\mathrm{faut}\:: \\ $$$$−\mathrm{choisir}\:\mathrm{un}\:\mathrm{element}\:\mathrm{de}\:\mathrm{A},\:\mathrm{ce}\:\mathrm{qui}\:\mathrm{se}…
Question Number 145463 by puissant last updated on 05/Jul/21 Answered by Olaf_Thorendsen last updated on 05/Jul/21 $$\left.{a}\right)\: \\ $$$$\ast{f}\:{est}\:{absolument}\:{continue}\:\mathrm{et} \\ $$$$\mathrm{notamment}\:\mathrm{en}\:{x}=\mathrm{10}\::\:\frac{\mathrm{10}}{{k}}\:=\:\frac{\mathrm{20}−\mathrm{10}}{{k}} \\ $$$$\ast{son}\:{integrale}\:{vaut}\:\mathrm{1}\:: \\ $$$$\int_{\mathrm{0}}…
Question Number 145373 by puissant last updated on 04/Jul/21 Answered by Olaf_Thorendsen last updated on 04/Jul/21 $$\left.\mathrm{1}{a}\right) \\ $$$$ \\ $$$$\mathrm{Le}\:\mathrm{rat}\:\mathrm{n}'\mathrm{a}\:\mathrm{pas}\:\mathrm{de}\:\mathrm{memoire}. \\ $$$$\mathrm{A}\:\mathrm{chaque}\:\mathrm{essai},\:\mathrm{il}\:\mathrm{a}\:\mathrm{3}\:\mathrm{chances}\:\mathrm{sur}\:\mathrm{4}\:\mathrm{de} \\ $$$$\mathrm{choisir}\:\mathrm{une}\:\mathrm{mauvaise}\:\mathrm{porte}\:\mathrm{et}\:\mathrm{une}\:\mathrm{chance}…
Question Number 145290 by ArielVyny last updated on 04/Jul/21 Answered by ArielVyny last updated on 04/Jul/21 $${exercice}\:\mathrm{2}\:{Nombre}\:{de}\:{Bell} \\ $$ Answered by Olaf_Thorendsen last updated on…
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