Question Number 185642 by Mingma last updated on 24/Jan/23 Commented by mr W last updated on 24/Jan/23 $$={C}_{\mathrm{4}+\mathrm{1}} ^{\mathrm{26}+\mathrm{1}} ={C}_{\mathrm{5}} ^{\mathrm{27}} =\mathrm{80730} \\ $$ Answered…
Question Number 120090 by bramlexs22 last updated on 29/Oct/20 $${Find}\:{the}\:{number}\:{of}\:{subsets}\:{of} \\ $$$$\left\{\:\mathrm{1},\mathrm{2},\mathrm{3},…,\mathrm{2000}\:\right\}\:{the}\:{sum}\:{of}\: \\ $$$${whose}\:{elements}\:{is}\:{divisible}\:{by}\:\mathrm{5} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 119896 by benjo_mathlover last updated on 27/Oct/20 Commented by bobhans last updated on 28/Oct/20 $$\left({ii}\right)\:\mathrm{5}\:{girls}\:{must}\:{be}\:{together}\:\Leftrightarrow\:\mathrm{5}!×\mathrm{8}! \\ $$ Answered by mr W last updated…
Question Number 54286 by Tinkutara last updated on 01/Feb/19 Commented by Tinkutara last updated on 01/Feb/19 Answers 4d 5b Commented by mr W last updated on 05/Feb/19…
Question Number 185350 by cortano1 last updated on 20/Jan/23 $$\:\:\:{C}_{\mathrm{4}} ^{\mathrm{4}} +{C}_{\mathrm{4}} ^{\mathrm{5}} +{C}_{\mathrm{4}} ^{\mathrm{6}} +…+{C}_{\mathrm{4}} ^{\mathrm{26}} \:=? \\ $$ Commented by mr W last…
Question Number 119747 by benjo_mathlover last updated on 26/Oct/20 $${Suppose}\:{that}\:\mathrm{7}\:{blue}\:{balls}\:,\:\mathrm{8}\:{red}\:{balls}\:{and}\:\mathrm{9}\:{green} \\ $$$${balls}\:{should}\:{be}\:{put}\:{into}\:{three}\:{boxes}\:{labeled} \\ $$$$\mathrm{1},\mathrm{2}\:{and}\:\mathrm{3},\:{so}\:{that}\:{any}\:{box}\:{contains}\:{at}\:{least} \\ $$$${one}\:{balls}\:{of}\:{each}\:{colour}.\:{How}\:{many}\:{ways} \\ $$$${can}\:{this}\:{arrangement}\:{be}\:{done}? \\ $$ Answered by mr W last…
Question Number 119733 by bemath last updated on 26/Oct/20 Commented by bemath last updated on 26/Oct/20 $${many}\:{choices}\:{of}\:{a}\:{person}'{s}\:{path} \\ $$$${from}\:{A}\:{to}\:{B} \\ $$ Commented by MJS_new last…
Question Number 119479 by 675480065 last updated on 24/Oct/20 $$\underset{\mathrm{k}=\mathrm{1}} {\overset{\infty} {\prod}}\mathrm{cos}\left(\frac{\mathrm{x}}{\mathrm{2}^{\mathrm{k}} }\right)\:=\:? \\ $$ Answered by Olaf last updated on 25/Oct/20 $$\mathrm{sin2}\theta\:=\:\mathrm{2sin}\theta\mathrm{cos}\theta \\ $$$$\mathrm{cos}\theta\:=\:\frac{\mathrm{1}}{\mathrm{2}}.\frac{\mathrm{sin2}\theta}{\mathrm{sin}\theta},\:\theta\:\neq\:{k}\pi…
Question Number 119397 by bemath last updated on 24/Oct/20 $${Find}\:{the}\:{number}\:{of}\:{possible}\:{arrangements} \\ $$$${of}\:{the}\:{letters}\:{in}\:{the}\:{word}\:{PENCILS}\:{if} \\ $$$$\left({a}\right)\:'{E}'\:{is}\:{next}\:{to}\:'{I}' \\ $$$$\left({b}\right)\:{E}\:{comes}\:{before}\:{I} \\ $$$$\left({c}\right)\:{there}\:{are}\:{three}\:{letters}\:{between}\:{E}\:{and}\:{I} \\ $$ Commented by liberty last updated…
Question Number 119390 by mr W last updated on 24/Oct/20 $${we}\:{have}\:\mathrm{15}\:{different}\:{mathematics} \\ $$$${books},\:\mathrm{10}\:{different}\:{physics}\:{books}\:{and} \\ $$$$\mathrm{12}\:{different}\:{chemistry}\:{books}.\:{we}\:{should} \\ $$$${choose}\:\mathrm{6}\:{books}\:{such}\:{that}\:{they}\:{contain} \\ $$$${all}\:{three}\:{kinds}\:{of}\:{books}. \\ $$$${in}\:{how}\:{many}\:{ways}\:{can}\:{we}\:{do}\:{this}? \\ $$ Answered by…