Question Number 57336 by Tawa1 last updated on 02/Apr/19 $$\mathrm{If}\:\:\mathrm{n}\:\mathrm{be}\:\mathrm{even},\:\mathrm{show}\:\mathrm{that}\:\mathrm{the}\:\mathrm{expression}\:\:\:\:\frac{\mathrm{n}\left(\mathrm{n}\:+\:\mathrm{2}\right)\left(\mathrm{n}\:+\:\mathrm{4}\right)\:…\:\left(\mathrm{2n}\:−\:\mathrm{2}\right)}{\mathrm{1}.\mathrm{3}.\mathrm{5}\:…\:\left(\mathrm{n}\:−\:\mathrm{1}\right)} \\ $$$$\mathrm{simplify}\:\mathrm{to}\:\:\mathrm{2}^{\mathrm{n}\:−\:\mathrm{1}} \\ $$ Answered by Smail last updated on 03/Apr/19 $${A}=\frac{{n}\left({n}+\mathrm{2}\right)\left({n}+\mathrm{4}\right)…\left(\mathrm{2}{n}−\mathrm{2}\right)}{\mathrm{1}.\mathrm{3}.\mathrm{5}…\left({n}−\mathrm{1}\right)} \\ $$$${n}=\mathrm{2}{m} \\…
Question Number 188362 by mr W last updated on 28/Feb/23 $${find}\:{the}\:{number}\:{of}\:\mathrm{5}\:{digit}\:{natural} \\ $$$${numbers}\:{with}\:{strictly}\:{ascending}\: \\ $$$${digits}\:{whose}\:{sum}\:{is}\:\mathrm{20}. \\ $$$${example}:\:\mathrm{12458}\:{is}\:{such}\:{a}\:{number} \\ $$ Answered by ARUNG_Brandon_MBU last updated on…
Question Number 188301 by mr W last updated on 28/Feb/23 $${Find}\:{the}\:{number}\:{of}\:{triangles}\:{with} \\ $$$${integer}\:{side}\:{lengths}\:{and}\:{perimeter}\:{p}. \\ $$ Commented by mr W last updated on 28/Feb/23 $${as}\:{Q}\mathrm{188239},\:{but}\:{in}\:{general}\:{case}. \\…
Question Number 57046 by mr W last updated on 29/Mar/19 Commented by mr W last updated on 29/Mar/19 $${reposted} \\ $$$${Question}\:{from}\:{Tinkutara}\:{sir} \\ $$ Terms of…
Question Number 57048 by mr W last updated on 29/Mar/19 Commented by mr W last updated on 29/Mar/19 $${reposted} \\ $$$${Question}\:{from}\:{Tinkutara}\:{sir} \\ $$ Answered by…
Question Number 57042 by mr W last updated on 29/Mar/19 Commented by mr W last updated on 29/Mar/19 $${reposted} \\ $$$${Question}\:{from}\:{Tinkutara}\:{sir} \\ $$$$ \\ $$$${i}\:{found}\:{these}\:{unsolved}\:{questions}\:{in}…
Question Number 56961 by pete last updated on 27/Mar/19 $$\mathrm{Out}\:\mathrm{of}\:\mathrm{6}\:\mathrm{mathematicians}\:\mathrm{and}\:\mathrm{7}\:\mathrm{physicists} \\ $$$$\mathrm{a}\:\mathrm{committee}\:\mathrm{consisting}\:\mathrm{of}\:\mathrm{3}\:\mathrm{mathematicians} \\ $$$$\mathrm{and}\:\mathrm{3}\:\mathrm{physicists}\:\mathrm{is}\:\mathrm{to}\:\mathrm{be}\:\mathrm{formed}.\:\mathrm{In}\:\mathrm{how} \\ $$$$\mathrm{many}\:\mathrm{ways}\:\mathrm{can}\:\mathrm{this}\:\mathrm{be}\:\mathrm{done}\:\mathrm{if}\:\mathrm{two}\: \\ $$$$\mathrm{particular}\:\mathrm{mathematicians}\:\mathrm{cannot}\:\mathrm{be} \\ $$$$\mathrm{on}\:\mathrm{the}\:\mathrm{commitee}? \\ $$ Answered by tanmay.chaudhury50@gmail.com…
How-many-possible-solution-sets-that-satisfy-x-1-x-2-x-3-x-4-5-with-0-x-1-3-0-x-2-3-0-x-3-2-0-x-4-2-
Question Number 56913 by Joel578 last updated on 26/Mar/19 $$\mathrm{How}\:\mathrm{many}\:\mathrm{possible}\:\mathrm{solution}\:\mathrm{sets}\:\mathrm{that}\:\mathrm{satisfy}\: \\ $$$${x}_{\mathrm{1}} \:+\:{x}_{\mathrm{2}} \:+\:{x}_{\mathrm{3}} \:+\:{x}_{\mathrm{4}} \:=\:\mathrm{5} \\ $$$$\mathrm{with} \\ $$$$\mathrm{0}\:\leqslant\:{x}_{\mathrm{1}} \:\leqslant\:\mathrm{3}\:\: \\ $$$$\mathrm{0}\:\leqslant\:{x}_{\mathrm{2}} \:\leqslant\:\mathrm{3} \\…
Question Number 187948 by horsebrand11 last updated on 24/Feb/23 $$ \\ $$$$\mathrm{Given}\:\mathrm{a}\:\mathrm{set}\:\mathrm{H}=\left\{\mathrm{1},\mathrm{2},\mathrm{3},…,\mathrm{300}.\:\mathrm{We}\:\mathrm{will}\:\mathrm{a}\right. \\ $$$$\mathrm{cre}{a}\mathrm{te}\:\mathrm{a}\:\mathrm{subset}\:\mathrm{of}\:\mathrm{H}\:\mathrm{consisting}\:\mathrm{of}\: \\ $$$$\mathrm{thre}{e}\:\mathrm{elements}.\:\mathrm{If}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{thr}{e}\mathrm{e}\:\mathrm{elements}\:\mathrm{is}\:\mathrm{divisible}\:\mathrm{by}\:\mathrm{3}\:\: \\ $$$$\mathrm{then}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{subsets}\:\mathrm{that}\: \\ $$$$\mathrm{canbe}\:\mathrm{made}\:\mathrm{is}\:\mathrm{x}.\:\mathrm{Find}\:\mathrm{the} \\ $$$$\mathrm{remaind}{e}\mathrm{r}\:\mathrm{if}\:\mathrm{x}\:\mathrm{is}\:\mathrm{divided}\:\mathrm{by}\:\mathrm{100000} \\…
Question Number 56820 by vajpaithegrate@gmail.com last updated on 24/Mar/19 $$\mathrm{the}\:\mathrm{no}\:\mathrm{of}\:\mathrm{traingle}\:\mathrm{formed}\:\mathrm{by}\:\mathrm{the}\:\mathrm{vertices} \\ $$$$\mathrm{of}\:\mathrm{a}\:\mathrm{decagon}\:\mathrm{such}\:\mathrm{that}\:\mathrm{atleast}\:\mathrm{one}\:\mathrm{side} \\ $$$$\mathrm{is}\:\mathrm{in}\:\mathrm{common} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com