Category: Permutation and Combination

Question Number 172817 by Mikenice last updated on 01/Jul/22 Answered by som(math1967) last updated on 02/Jul/22 $$\sqrt{2+\sqrt{2+\sqrt{2(1+cos8\theta )}}}$$$$\sqrt{2+\sqrt{2+2cos4\theta }}$$$$\sqrt{2+\sqrt{2(1+cos4\theta )}}$$$$\sqrt{2+2cos2\theta }=\sqrt{2(1+cos2\theta )}=2cos\theta$$…

Question Number 172354 by Mikenice last updated on 25/Jun/22 Answered by mahdipoor last updated on 25/Jun/22 $${log}_{a}b=m{log}_{a}c=n$$$$\Rightarrow\begin{cases}{{log}_{{n}^{\mathrm{2}} } \left(\mathrm{1}/{m}\right)=−\frac{\mathrm{1}}{\mathrm{2}}{log}_{{n}} {m}=\frac{−\mathrm{3}}{\mathrm{2}}}\{\frac{{log}_{{a}} {b}}{{log}_{{a}}…

Question Number 172347 by Mikenice last updated on 25/Jun/22 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 172008 by Mikenice last updated on 23/Jun/22 $$solve:$$$$15{\left(2n\right)}_{C_{(n-1)}}=28{(2n-1)}_{C_n}.findn$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 106305 by bemath last updated on 04/Aug/20 $$\mathrm{what}\mathrm{is}\mathrm{probability}\mathrm{of}5\mathrm{coming}\mathrm{up}\mathrm{at}\mathrm{least}\mathrm{one}\mathrm{if}\mathrm{a}\mathrm{die}$$$$\mathrm{is}\mathrm{rolled}3\mathrm{times}$$ Answered by Ar Brandon last updated on 04/Aug/20 $$\mathrm{P}\left(\mathrm{Atleast}\mathrm{one}5\right)=1-\mathrm{P}\left(\mathrm{No}5\right)$$$$\mathrm{P}\left(\mathrm{No}\:\mathrm{5}\right)=\left(\frac{\mathrm{5}}{\mathrm{6}}\right)^{\mathrm{3}}…