Question Number 22435 by Tinkutara last updated on 18/Oct/17 $${C}_{\mathrm{0}} \:^{\mathrm{2}{n}} {C}_{{n}} −{C}_{\mathrm{1}} \:^{\mathrm{2}{n}−\mathrm{2}} {C}_{{n}} +{C}_{\mathrm{2}} \:^{\mathrm{2}{n}−\mathrm{4}} {C}_{{n}} \:…. \\ $$$$\mathrm{equals}\:\mathrm{to} \\ $$ Terms of…
Question Number 87933 by john santu last updated on 07/Apr/20 $$\mathrm{how}\:\mathrm{many}\:\mathrm{terms}\:\mathrm{are}\:\mathrm{there} \\ $$$$\mathrm{in}\:\left(\mathrm{x}^{\mathrm{2}} +\mathrm{x}+\mathrm{1}\right)^{\mathrm{11}} \:? \\ $$ Commented by mr W last updated on 07/Apr/20…
Question Number 87790 by mathocean1 last updated on 06/Apr/20 $$\mathrm{How}\:\mathrm{many}\:\mathrm{handshakes}\:\mathrm{are}\:\mathrm{exchanged} \\ $$$$\mathrm{betwen}\:\mathrm{27}\:\mathrm{boys}? \\ $$ Answered by TANMAY PANACEA. last updated on 06/Apr/20 $$\mathrm{27}{C}_{\mathrm{2}} \\ $$$$=\frac{\mathrm{27}!}{\mathrm{2}!\mathrm{25}!}=\frac{\mathrm{27}×\mathrm{26}}{\mathrm{2}}=\mathrm{351}…
Question Number 87731 by mathocean1 last updated on 05/Apr/20 $$\mathrm{solve}\:\mathrm{in}\:\mathbb{N} \\ $$$$\mathrm{A}_{\mathrm{n}} ^{\mathrm{4}} =\mathrm{A}_{\mathrm{n}} ^{\mathrm{3}} \\ $$ Commented by Tony Lin last updated on 06/Apr/20…
Question Number 87732 by mathocean1 last updated on 05/Apr/20 $$\mathrm{Solve}\:\mathrm{it}\:\mathrm{in}\:\mathbb{N} \\ $$$$\mathrm{C}_{\mathrm{n}} ^{\mathrm{3}} −\mathrm{C}_{\mathrm{n}} ^{\mathrm{2}} =\mathrm{5}+\frac{\mathrm{n}^{\mathrm{3}} −\mathrm{6n}^{\mathrm{2}} }{\mathrm{6}} \\ $$ Commented by Tony Lin last…
Question Number 153220 by talminator2856791 last updated on 05/Sep/21 $$\: \\ $$$$\:\mathrm{in}\:\mathrm{how}\:\mathrm{many}\:\mathrm{ways}\:\mathrm{can}\:\mathrm{the}\:\mathrm{number}\:\: \\ $$$$\:{n}\:\mathrm{be}\:\mathrm{written}\:\mathrm{as}\:\mathrm{a}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{three}\:\mathrm{positive}\:\: \\ $$$$\:\mathrm{integers}\:\mathrm{if}\:\mathrm{representations}\:\mathrm{differing}\:\: \\ $$$$\:\mathrm{in}\:\mathrm{the}\:\mathrm{order}\:\mathrm{of}\:\mathrm{the}\:\mathrm{terms}\:\mathrm{are}\:\mathrm{considered}\:\: \\ $$$$\:\mathrm{to}\:\mathrm{be}\:\mathrm{different}?\:\: \\ $$$$\: \\ $$ Answered…
Question Number 153216 by talminator2856791 last updated on 05/Sep/21 $$ \\ $$ Commented by talminator2856791 last updated on 05/Sep/21 $$\:\mathrm{appears}\:\mathrm{to}\:\mathrm{be}\:\mathrm{a}\:\mathrm{bug}. \\ $$$$\:\mathrm{image}\:\mathrm{not}\:\mathrm{load}. \\ $$ Terms…
Question Number 22128 by devika last updated on 11/Oct/17 Commented by Samuel KT last updated on 11/Oct/17 $$\mathrm{what}'\mathrm{s}\:\mathrm{the}\:\mathrm{question}?? \\ $$ Commented by $@ty@m last updated…
Question Number 153181 by DELETED last updated on 05/Sep/21 Commented by mr W last updated on 05/Sep/21 $${dear}\:{sir}: \\ $$$${if}\:{you}\:{just}\:{do}\:{your}\:{own}\:{exercises},\:{i}.{e}. \\ $$$${when}\:{you}\:{solve}\:{your}\:{questions}\:{by} \\ $$$${yourself},\:{you}\:{don}'{t}\:{need}\:{to}\:{use}\:{the} \\…
Question Number 153182 by DELETED last updated on 05/Sep/21 Commented by mr W last updated on 05/Sep/21 $${dear}\:{sir}: \\ $$$${if}\:{you}\:{just}\:{do}\:{your}\:{own}\:{exercises},\:{i}.{e}. \\ $$$${when}\:{you}\:{solve}\:{your}\:{questions}\:{by} \\ $$$${yourself},\:{you}\:{don}'{t}\:{need}\:{to}\:{use}\:{the} \\…