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Question Number 870 by 112358 last updated on 05/Apr/15 $${In}\:{how}\:{many}\:{ways}\:{may}\:{a}\:{line}\: \\ $$$${consisting}\:{of}\:\mathrm{4}\:{men}\:{and}\:\mathrm{4}\:{women} \\ $$$${be}\:{acquired}\:{if}\:{no}\:{two}\:{women}\:{are} \\ $$$${to}\:{be}\:{adjacent}\:{to}\:{each}\:{other}? \\ $$ Answered by prakash jain last updated on…
Question Number 66404 by ~ À ® @ 237 ~ last updated on 14/Aug/19 Commented by mathmax by abdo last updated on 14/Aug/19 $${let}\:{I}_{{n}} =\int_{\mathrm{0}}…
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Question Number 867 by sagarwal last updated on 03/Apr/15 $$\mathrm{Solve} \\ $$$$\mathrm{4}{x}−\mathrm{3}{y}=\mathrm{7}{xy} \\ $$$$\mathrm{3}{x}+\mathrm{2}{y}=\mathrm{18}{xy} \\ $$ Commented by 123456 last updated on 03/Apr/15 $$\begin{cases}{\mathrm{4}{x}−\mathrm{3}{y}=\mathrm{7}{xy}}\\{\mathrm{3}{x}+\mathrm{2}{y}=\mathrm{18}{xy}}\end{cases} \\…
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Question Number 131938 by Raxreedoroid last updated on 09/Feb/21 $$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\frac{\mathrm{1}}{\:\sqrt{{n}!}}=? \\ $$ Answered by Faetma last updated on 09/Feb/21 $$\left.\begin{matrix}{\underset{{n}\rightarrow+\infty} {\mathrm{lim}}\:{n}!=+\infty}\\{\underset{\mathrm{N}\rightarrow+\infty} {\mathrm{lim}}\:\sqrt{\mathrm{N}}=+\infty}\\{\underset{\mathrm{N}'\rightarrow+\infty} {\mathrm{lim}}\:\frac{\mathrm{1}}{\mathrm{N}'}=\mathrm{0}^{+} }\end{matrix}\right\}\underset{{n}\rightarrow+\infty}…
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Question Number 863 by 123456 last updated on 30/Mar/15 $${f}\left({xy}\right)={f}\left[{xf}\left({y}\right)\right] \\ $$$${f}\left({x}\right)=? \\ $$ Answered by prakash jain last updated on 30/Mar/15 $${f}\left({y}\right)={y} \\ $$…
Question Number 131932 by kaivan.ahmadi last updated on 09/Feb/21 $${if}\:{x}=\mathrm{18}\:{and}\:{y}=\mathrm{17}\:{then}\:{find} \\ $$$$\left({x}+{y}\right)\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right)\left({x}^{\mathrm{4}} +{y}^{\mathrm{4}} \right)\left({x}^{\mathrm{8}} +{y}^{\mathrm{8}} \right) \\ $$ Answered by Dwaipayan Shikari last…