Category: Set Theory

Question Number 208862 by THORR last updated on 25/Jun/24 $$x=b^2$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 207372 by sniper237 last updated on 12/May/24 $$2studentsarepassing$$$$atestofnquestionswith$$$$thesamechancetofindeachone$$$$Showthechancethattheyboth$$$${don}^{\prime }tfindasamequestionis{\left(\frac{3}{4}\right)}^n$$ Commented by A5T last updated…

Question Number 203737 by pascal889 last updated on 26/Jan/24 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 203490 by cortano12 last updated on 20/Jan/24 $$1\times 3\times 5\times 7\times 9\times \dots \times 2005=\dots \left(\mathrm{mod}1000\right)$$ Answered by AST last updated on 20/Jan/24 $$x=1\times 3\times 5\dots \times 2005\equiv 0\left(mod125\right)$$$$x\equiv {\left(1\times 3\times 5\times 7\right)}^{250}\times 1\times 3\times 5\left(mod8\right)\equiv 7\left(mod8\right)$$$${x}=\mathrm{125}{q}\equiv\mathrm{7}\left({mod}\:\mathrm{8}\right)\Rightarrow\mathrm{5}{q}\equiv\mathrm{15}\left({mod}\:\mathrm{8}\right)\Rightarrow{q}\equiv\mathrm{3}\left({mod}\:\mathrm{8}\right)…

Question Number 200284 by depressiveshrek last updated on 16/Nov/23 $$\mathrm{Prove}\mathrm{that}\mathrm{for}\mathrm{any}\mathrm{set}A\mathrm{containing}n$$$$\mathrm{elements},\mid \mathcal{P}\left(A\right)\mid =2^n.$$ Answered by AST last updated on 16/Nov/23 $${C}_{\mathrm{0}} ^{{n}} +^{{n}}…