Question Number 164544 by mr W last updated on 18/Jan/22 $${prove}\:{that}\:\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\begin{pmatrix}{{n}}\\{{k}}\end{pmatrix}^{\mathrm{2}} =\frac{\left(\mathrm{2}{n}\right)!}{\left({n}!\right)^{\mathrm{2}} }−\mathrm{1} \\ $$ Answered by mindispower last updated on 18/Jan/22 $$=\underset{{k}=\mathrm{0}}…
Question Number 98406 by abdelaziz last updated on 13/Jun/20 $$\boldsymbol{{NB}}:\boldsymbol{\mathcal{P}}\left(\boldsymbol{\mathrm{E}}\right)\:\mathrm{means}\:\mathrm{a}\:\mathrm{set}\:\mathrm{of}\:\mathrm{all}\:\mathrm{part}\:\mathrm{of}\:\boldsymbol{\mathrm{E}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 98405 by abdelaziz last updated on 15/Jun/20 Answered by abdelaziz last updated on 14/Jun/20 $$\mathrm{i}\:\mathrm{need}\:\mathrm{help}\:\mathrm{here}\:\mathrm{please} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 32600 by Tinkutara last updated on 28/Mar/18 Commented by mrW2 last updated on 28/Mar/18 $${I}\:{think}\:{there}\:{are}\:\mathrm{15}!\:{ways}. \\ $$ Commented by Tinkutara last updated on…
Question Number 32503 by akinbinu anuoluwapo last updated on 26/Mar/18 $${algebra}\mathrm{1}{ic} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 98030 by bemath last updated on 11/Jun/20 Commented by bobhans last updated on 11/Jun/20 $$\left(\mathrm{a}\right)\:\mathrm{P}\left(\mathrm{head}\:\mathrm{and}\:\mathrm{4}\:\right)\:=\:\frac{\mathrm{1}}{\mathrm{8}} \\ $$$$\left(\mathrm{b}\right)\:\mathrm{P}\left(\mathrm{head}\:\mathrm{or}\:\mathrm{4}\right)\:=\:\frac{\mathrm{5}}{\mathrm{8}} \\ $$ Terms of Service Privacy…
Question Number 98027 by bemath last updated on 11/Jun/20 $$\mathrm{One}\:\mathrm{card}\:\mathrm{is}\:\mathrm{randomly}\:\mathrm{selected} \\ $$$$\mathrm{from}\:\mathrm{a}\:\mathrm{pack}\:\mathrm{of}\:\mathrm{52}\:\mathrm{playing}\:\mathrm{cards}. \\ $$$$\mathrm{Determine}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{that}\: \\ $$$$\mathrm{is}\:\mathrm{a}\:\mathrm{picture}\:\mathrm{card}.\: \\ $$ Commented by bobhans last updated on 11/Jun/20…
Question Number 163443 by henderson last updated on 07/Jan/22 $$\mathrm{p}\:\leqslant\:\mathrm{n}\: \\ $$$$\mathrm{find}\:\:\frac{\mathrm{A}_{\mathrm{n}} ^{\mathrm{p}} }{\mathrm{A}_{\mathrm{n}−\mathrm{1}} ^{\mathrm{p}} }. \\ $$ Commented by mr W last updated on…
Question Number 163313 by SLVR last updated on 06/Jan/22 $${Find}\:{the}\:{non}\:{negative}\:{integer} \\ $$$${solutions}\:{of}\:\mathrm{2}{x}+\mathrm{3}{y}+\mathrm{5}{z}=\mathrm{60} \\ $$ Answered by mr W last updated on 06/Jan/22 $${let}\:\mathrm{2}{x}+\mathrm{3}{y}=\mathrm{5}{u} \\ $$$$\mathrm{5}{u}+\mathrm{5}{z}=\mathrm{60}…
Question Number 163283 by greg_ed last updated on 05/Jan/22 $$\mathrm{hi}\:! \\ $$We store 5 objects in three discernible drawers. Suppose that the different ways of…