Question Number 125504 by Study last updated on 11/Dec/20
$${n}!=\mathrm{2}^{\mathrm{10}} \centerdot\mathrm{10}!\left(\mathrm{1}\centerdot\mathrm{3}\centerdot\mathrm{5}\centerdot\mathrm{7}\centerdot\centerdot\centerdot\mathrm{19}\right)\:\:\:\:\:\:\:\:{n}=??? \\ $$$${help}\:{me} \\ $$
Answered by Dwaipayan Shikari last updated on 11/Dec/20
$$\mathrm{1}.\mathrm{3}.\mathrm{5}...{k}=\frac{\mathrm{1}.\mathrm{2}.\mathrm{3}.\mathrm{4}.\mathrm{5}...\mathrm{2}{n}}{\mathrm{2}^{{k}} .{k}!}=\frac{\left(\mathrm{2}{k}\right)!}{\mathrm{2}^{{k}} {k}!} \\ $$$${k}=\mathrm{10}\:\: \\ $$$${n}!=\mathrm{2}^{\mathrm{10}} .\mathrm{10}!.\frac{\left(\mathrm{2}{k}\right)!}{\mathrm{2}^{{k}} .{k}!}\Rightarrow{n}!=\left(\mathrm{20}\right)!={n}=\mathrm{20} \\ $$
Commented by ajfour last updated on 11/Dec/20
$${does}\:{everyone}\:{see}\:{an}\:{ad}\:{alongwith} \\ $$$${this}\:{post},\:{after}\:{the}\:{new}\:{update}? \\ $$$${i}\:{do}\:{not}\:{approve}\:{positively}\:{for}\:{this}. \\ $$
Commented by Dwaipayan Shikari last updated on 11/Dec/20
$${But}\:{I}\:{haven}'{t}\:{seen}\:{any}\:{kind}\:{of}\:{Ad}\:{sir}! \\ $$
Commented by ajfour last updated on 11/Dec/20
$${thanks},\:{but}\:{after}\:{the}\:{latest} \\ $$$${update}\:{whereupon}\:{i}\:{agreed}\:{to}\:{the} \\ $$$${request}\:{of}\:{startapp}\:{i}\:{see}\:{Ads} \\ $$$${alongwith}\:{few}\:{posts}. \\ $$
Commented by Tinku Tara last updated on 12/Dec/20
$$\mathrm{Ads}\:\mathrm{and}\:\mathrm{StarrApp}\:\mathrm{SDK}\:\mathrm{is}\:\mathrm{removed} \\ $$$$\mathrm{from}\:\mathrm{the}\:\mathrm{app}. \\ $$
Commented by mr W last updated on 12/Dec/20
$${at}\:{first}\:{i}\:{have}\:{deleted}\:{the}\:{latest} \\ $$$${version}\:{and}\:{installed}\:{an}\:{old}\:{version} \\ $$$${again}. \\ $$
Commented by mr W last updated on 12/Dec/20
$${that}'{t}\:{true}!\:{after}\:{the}\:{update},\:{Ads}\:{are} \\ $$$${inbedded}\:{in}\:{some}\:{posts}.\:{once}\:{you} \\ $$$${see}\:{them},\:{you}\:{can}\:{not}\:{switch}\:{them} \\ $$$${off}\:{by}\:{yourself}. \\ $$$${here}\:{an}\:{example}: \\ $$
Commented by mr W last updated on 12/Dec/20
Commented by MJS_new last updated on 12/Dec/20
I'm willing to pay for good apps. I'd suggest a cheap monthly or yearly rate for students and a life time subscription.
Commented by mr W last updated on 12/Dec/20
$${thanks}\:{sirs}! \\ $$$${to}\:{be}\:{honest},\:{i}\:{have}\:{full}\:{understanding} \\ $$$${when}\:{you}\:{add}\:{Ad}'{s}\:{in}\:{this}\:{app}.\:{i}\:{only} \\ $$$${don}'{t}\:{agree}\:{that}\:{i}\:{have}\:{no}\:{possibility} \\ $$$${to}\:{switch}\:{them}\:{off}.\:{certainly}\:{i}\:{can}'{t} \\ $$$${accept}\:{that}\:{a}\:{third}\:{party}\:{collects}\:{my} \\ $$$${personal}\:{data}. \\ $$
Commented by mr W last updated on 12/Dec/20
$${thanks}\:{for}\:{explanation}\:{sir}! \\ $$
Commented by Tinku Tara last updated on 12/Dec/20
$$\mathrm{This}\:\mathrm{app}\:\mathrm{does}\:\mathrm{not}\:\mathrm{ask}\:\mathrm{or}\:\mathrm{collected} \\ $$$$\mathrm{any}\:\mathrm{personal}\:\mathrm{data}.\:\mathrm{Since}\:\mathrm{all}\:\mathrm{ad}\:\mathrm{suppliers} \\ $$$$\mathrm{are}\:\mathrm{connected},\:\mathrm{the}\:\mathrm{personal}\:\mathrm{data}\:\mathrm{that} \\ $$$$\mathrm{allowed}\:\mathrm{in}\:\mathrm{other}\:\mathrm{apps}\:\mathrm{are}\:\mathrm{available} \\ $$$$\mathrm{to}\:\mathrm{sdk}\:\mathrm{to}\:\mathrm{personlize}\:\mathrm{ads}.\:\mathrm{You}\:\mathrm{can} \\ $$$$\mathrm{decline}\:\mathrm{than}\:\:\mathrm{ads}\:\mathrm{without}\:\mathrm{use} \\ $$$$\mathrm{of}\:\mathrm{you}\:\mathrm{data}\:\mathrm{is}\:\mathrm{shown}.\: \\ $$