Question Number 25237 by Mr eaay last updated on 06/Dec/17 $${prooove}\:{that}\:\mathrm{0}!=\mathrm{1} \\ $$ Commented by prakash jain last updated on 07/Dec/17 $$\mathrm{It}\:\mathrm{is}\:\mathrm{a}\:\mathrm{notation}\:\mathrm{simplication} \\ $$$$\mathrm{that}\:\mathrm{defines}\:\mathrm{empty}\:\mathrm{products} \\…
Question Number 90531 by Mikael_786 last updated on 24/Apr/20 $${Please}\:{help}\:{me}\:{to}\:{find}\:{the}\:{value} \\ $$$${of}\:\:\:'{n}' \\ $$$${C}_{\mathrm{8}} ^{{n}+\mathrm{3}} ={C}_{\mathrm{20}} ^{{n}+\mathrm{3}} \\ $$ Commented by mr W last updated…
Question Number 90503 by john santu last updated on 24/Apr/20 Commented by john santu last updated on 24/Apr/20 $${a}\:{total}\:{of}\:\mathrm{20}\:{marble}\: \\ $$ Commented by jagoll last…
Question Number 155842 by zainaltanjung last updated on 05/Oct/21 $$\mathrm{Prof}\:\mathrm{that}: \\ $$$$\underset{\mathrm{n}=\mathrm{1}} {\overset{\mathrm{10}} {\sum}}\:\mathrm{n}.\mathrm{n}!=\mathrm{11}!−\mathrm{1} \\ $$ Commented by puissant last updated on 05/Oct/21 $${Q}\mathrm{155803} \\…
Question Number 155816 by cortano last updated on 05/Oct/21 $$\:\mathrm{How}\:\mathrm{many}\:\mathrm{of}\:\mathrm{the}\:\mathrm{number}\:\mathrm{formed} \\ $$$$\:\mathrm{by}\:\mathrm{using}\:\mathrm{all}\:\mathrm{the}\:\mathrm{digits}\:\mathrm{1},\mathrm{2},\mathrm{3},\mathrm{4},\mathrm{5},\mathrm{6} \\ $$$$\:\mathrm{only}\:\mathrm{once}\:\mathrm{divisible}\:\mathrm{by}\:\mathrm{25}. \\ $$ Answered by talminator2856791 last updated on 05/Oct/21 $$\:\mathrm{4}!\:=\:\mathrm{24} \\…
Question Number 155356 by qaz last updated on 29/Sep/21 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{coefficient}\:\mathrm{of}\:\mathrm{term}\:“\:\mathrm{a}^{\mathrm{m}} \mathrm{b}^{\mathrm{2m}} \:''\:\mathrm{in}\:\left(\mathrm{1}+\mathrm{a}\right)^{\mathrm{m}} \left(\mathrm{1}+\mathrm{b}\right)^{\mathrm{n}+\mathrm{m}} \left(\mathrm{1}+\mathrm{a}+\mathrm{b}\right)^{\mathrm{m}} . \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 155257 by mr W last updated on 27/Sep/21 Commented by mr W last updated on 28/Sep/21 $${the}\:{grid}\:{has}\:\boldsymbol{{m}}×\boldsymbol{{n}}\:{steps}. \\ $$$${find}\:{the}\:{number}\:{of}\:{routes}\:{with}\:\boldsymbol{{k}} \\ $$$${turns}. \\ $$…
Question Number 155109 by qaz last updated on 25/Sep/21 $$\mathrm{how}\:\mathrm{many}\:\mathrm{terms}\:\mathrm{contain}\:“\:\mathrm{ab}^{\mathrm{2}} \mathrm{c}^{\mathrm{3}} \:''\:\mathrm{in}\:\left(\mathrm{a}+\mathrm{2b}+\mathrm{3c}+\mathrm{4d}^{\mathrm{2}} +\mathrm{5e}^{\mathrm{3}} \right)^{\mathrm{10}} \:? \\ $$ Answered by mr W last updated on 26/Sep/21…
Question Number 155075 by mr W last updated on 24/Sep/21 Commented by mr W last updated on 24/Sep/21 $${with}\:{exactly}\:{n}\:{turns}.\:\left(\mathrm{1}\leqslant{n}\leqslant\mathrm{15}\right) \\ $$$${the}\:{example}\:{above}\:{shows}\:{a}\:{route} \\ $$$${with}\:\mathrm{7}\:{turns}. \\ $$…
Question Number 88876 by Joel578 last updated on 13/Apr/20 $$\mathrm{Given}\:\mathrm{a}\:\mathrm{10}−\mathrm{digit}\:\mathrm{number}\:{X}\:=\:\mathrm{1345789026} \\ $$$$\mathrm{How}\:\mathrm{many}\:\mathrm{10}−\mathrm{digit}\:\mathrm{number}\:\mathrm{that}\:\mathrm{can}\:\mathrm{be}\:\mathrm{made} \\ $$$$\mathrm{using}\:\mathrm{every}\:\mathrm{digit}\:\mathrm{from}\:{X},\:\mathrm{with}\:\mathrm{condition}: \\ $$$$\mathrm{If}\:\mathrm{a}\:\mathrm{number}\:{n}\:\:\mathrm{is}\:\mathrm{located}\:\mathrm{in}\:{k}^{{th}} \:\mathrm{position}\:\mathrm{of}\:{X},\:\mathrm{then} \\ $$$$\mathrm{the}\:\mathrm{new}\:\mathrm{created}\:\mathrm{number}\:\mathrm{must}\:\mathrm{not}\:\mathrm{contain} \\ $$$$\mathrm{number}\:{n}\:\mathrm{in}\:{k}^{{th}} \:\mathrm{position} \\ $$$$ \\…