Question Number 134232 by liberty last updated on 01/Mar/21 $$ \\ $$In how many ways can 5 men, 4 women, and 3 children be arranged…
Question Number 134205 by liberty last updated on 01/Mar/21 $$ \\ $$The numbers 1,2,3,4,5,6,7,8,9 and 10 are written around a circle in arbitrary order. We…
Question Number 133995 by mr W last updated on 26/Feb/21 $${in}\:{how}\:{many}\:{ways}\:{can}\:{n}\:{men}\:{and} \\ $$$${n}\:{women}\:{be}\:{arranged}\:{in}\:{a}\:{row}\:{such} \\ $$$${that}\:{men}\:{and}\:{women}\:{alternate}? \\ $$ Commented by benjo_mathlover last updated on 26/Feb/21 $$=\:\mathrm{2}×\mathrm{n}!×\mathrm{n}!\:=\:\mathrm{2}×\left(\mathrm{n}!\right)^{\mathrm{2}}…
Question Number 133682 by bramlexs22 last updated on 23/Feb/21 Commented by bramlexs22 last updated on 23/Feb/21 $$\mathrm{i}\:\mathrm{post}\:\mathrm{again}\:\mathrm{from}\:\mathrm{mr}\:\mathrm{Liberty} \\ $$ Commented by liberty last updated on…
Question Number 133658 by liberty last updated on 23/Feb/21 Commented by mr W last updated on 23/Feb/21 $${i}\:{get}\:{headache}\:{when}\:{reading}\:{such} \\ $$$${colorful}\:{text},\:{not}\:{to}\:{mention}\:{to}\:{find} \\ $$$$\left.{the}\:{correct}\:{solution}\::\right) \\ $$ Commented…
Question Number 133642 by liberty last updated on 23/Feb/21 Commented by liberty last updated on 23/Feb/21 $$\mathrm{dear}\:\mathrm{Mr}\:\mathrm{W},\:\mathrm{Mr}\:\mathrm{Edwin}\:\mathrm{and}\:\mathrm{all}\:\mathrm{master} \\ $$ Answered by bobhans last updated on…
Question Number 133316 by bramlexs22 last updated on 21/Feb/21 $$\mathrm{How}\:\mathrm{many}\:\mathrm{6}−\mathrm{letter}\:\mathrm{words}\:\mathrm{in}\: \\ $$$$\mathrm{which}\:\mathrm{at}\:\mathrm{least}\:\mathrm{one}\:\mathrm{letter}\:\mathrm{appears} \\ $$$$\mathrm{more}\:\mathrm{than}\:\mathrm{once}\:,\mathrm{can}\:\mathrm{be}\:\mathrm{made}\:\mathrm{from} \\ $$$$\mathrm{the}\:\mathrm{letters}\:\mathrm{in}\:\mathrm{the}\:\mathrm{word}\:\mathrm{FLIGHT} \\ $$$$ \\ $$ Commented by mr W last…
Question Number 133314 by bramlexs22 last updated on 21/Feb/21 $$\mathrm{How}\:\mathrm{many}\:\mathrm{rearrangements}\:\mathrm{are}\: \\ $$$$\mathrm{there}\:\mathrm{of}\:\mathrm{the}\:\mathrm{letters}\:\mathrm{in}\:\mathrm{the}\:\mathrm{world} \\ $$$$\left(\mathrm{i}\right)\:\mathrm{ENGINEERING} \\ $$$$\left(\mathrm{ii}\right)\:\mathrm{MATHEMATICAL}\: \\ $$ Answered by EDWIN88 last updated on 21/Feb/21…
Question Number 67454 by Aditya789 last updated on 27/Aug/19 Commented by mathmax by abdo last updated on 27/Aug/19 $${here}\:{C}_{{r}} \:{mean}\:{C}_{{n}} ^{{r}} \:\:\:\:\:\:{we}\:{have}\:\:\sum_{{r}=\mathrm{0}} ^{{n}} \:{C}_{{n}} ^{{r}}…
Question Number 132977 by Raxreedoroid last updated on 17/Feb/21 $$\mathrm{Show}\:\mathrm{that}: \\ $$$$\:^{{n}} {C}_{{r}} =\frac{\underset{{k}=\mathrm{0}} {\overset{{r}−\mathrm{1}} {\prod}}{n}−{k}}{{r}!} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com