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 $$\mathrm{Given}\:\mathrm{a}\:\mathrm{10}−\mathrm{digit}\:\mathrm{number}\:{X}\:=\:\mathrm{1345789026} \\ $$$$\mathrm{How}\:\mathrm{many}\:\mathrm{10}−\mathrm{digit}\:\mathrm{number}\:\mathrm{that}\:\mathrm{can}\:\mathrm{be}\:\mathrm{made} \\ $$$$\mathrm{using}\:\mathrm{every}\:\mathrm{digit}\:\mathrm{from}\:{X},\:\mathrm{with}\:\mathrm{condition}: \\ $$$$\mathrm{If}\:\mathrm{a}\:\mathrm{number}\:{n}\:\:\mathrm{is}\:\mathrm{located}\:\mathrm{in}\:{k}^{{th}} \:\mathrm{position}\:\mathrm{of}\:{X},\:\mathrm{then} \\ $$$$\mathrm{the}\:\mathrm{new}\:\mathrm{created}\:\mathrm{number}\:\mathrm{must}\:\mathrm{not}\:\mathrm{contain} \\ $$$$\mathrm{number}\:{n}\:\mathrm{in}\:{k}^{{th}} \:\mathrm{position} \\ $$$$ \\…
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Question Number 154268 by liberty last updated on 16/Sep/21 Commented by mr W last updated on 16/Sep/21 $$\mathrm{8}!=\mathrm{40320} \\ $$ Commented by liberty last updated…
Question Number 22820 by Physics lover last updated on 22/Oct/17 $${total}\:{number}\:{of}\:{permutations}\:{of} \\ $$$${five}\:{abjects}\:\rightarrow\:{A},{A},{A},{B},{B}\: \\ $$$${in}\:{a}\:{circle}? \\ $$ Commented by ajfour last updated on 22/Oct/17 $${four}\:.…
Question Number 153714 by pete last updated on 09/Sep/21 $$\mathrm{How}\:\mathrm{many}\:\mathrm{three}−\mathrm{digit}\:\mathrm{numbers}\:\mathrm{can}\:\mathrm{be} \\ $$$$\mathrm{formed}\:\mathrm{using}\:\mathrm{the}\:\mathrm{digits}\:\mathrm{2},\mathrm{3},\mathrm{5},\mathrm{7},\mathrm{8}\:\mathrm{if}\: \\ $$$$\mathrm{the}\:\mathrm{number}\:\mathrm{is}\:\mathrm{odd}\:\mathrm{and}\:\mathrm{no}\:\mathrm{digit}\:\mathrm{is}\:\mathrm{repeted}? \\ $$ Answered by EDWIN88 last updated on 09/Sep/21 $$=\:{P}_{\mathrm{1}} ^{\:\mathrm{3}}…
Question Number 87975 by ajfour last updated on 07/Apr/20 Commented by ajfour last updated on 07/Apr/20 $${Find}\:{radius}\:{of}\:{circle}. \\ $$ Commented by Tony Lin last updated…