Question Number 228455 by mr W last updated on 15/Apr/26 Answered by vnm last updated on 16/Apr/26 $$\mathrm{4}\left(\mathrm{4}×\mathrm{3}×\mathrm{2}+\mathrm{2}\left(\mathrm{3}×\mathrm{2}×\mathrm{1}\right)+\mathrm{6}\left(\mathrm{3}×\mathrm{3}×\mathrm{4}\right)\right)=\mathrm{1008} \\ $$ Answered by mr W last…
Question Number 228273 by AgniMath last updated on 04/Apr/26 An insect moves from (0,0) to (6,3) by moving through lattice points ((x,y) integers) moving either…
Question Number 228102 by mr W last updated on 21/Mar/26 $${there}\:{are}\:\mathrm{32}\:{students}\:{in}\:{a}\:{class}.\:{for} \\ $$$${each}\:{competition}\:{in}\:{a}\:{sport}\:{event}\: \\ $$$${in}\:{the}\:{school}\:{each}\:{class}\:{can}\:{send} \\ $$$${a}\:{team}\:{with}\:{three}\:{students}.\:{if}\:{no} \\ $$$${two}\:{students}\:{may}\:{be}\:{in}\:{the}\:{same} \\ $$$${team}\:{for}\:{more}\:{than}\:{one}\:{time},\:{in} \\ $$$${how}\:{many}\:{different}\:{competitions}\: \\ $$$${can}\:{this}\:{class}\:{participate}?…
Question Number 227529 by MrAjder last updated on 08/Feb/26 $$ \\ $$There are cards in 30 different colors, with 70 cards of each color. Initially,…
Question Number 227151 by efronzo1 last updated on 03/Jan/26 $$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$ Answered by mr W last…
Question Number 227102 by gregori last updated on 31/Dec/25 $$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$\frac{{m}}{{n}}\: \\ $$$$ \\ $$ Answered…
Question Number 227098 by gregori last updated on 31/Dec/25 $$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$ Answered by mr…
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Question Number 226044 by Jubr last updated on 18/Nov/25 Answered by mr W last updated on 19/Nov/25 $$\mathrm{1}{C}_{\mathrm{50}} ^{\mathrm{1000}} +\mathrm{2}{C}_{\mathrm{49}} ^{\mathrm{999}} +\mathrm{3}{C}_{\mathrm{48}} ^{\mathrm{998}} +…+\mathrm{51}{C}_{\mathrm{0}} ^{\mathrm{950}}…
Question Number 224709 by solihin last updated on 28/Sep/25 Answered by mr W last updated on 30/Sep/25 $${number}\:{of}\:{possibilities}\:{that}\:{n} \\ $$$${people}\:{have}\:{different}\:{birthdays}: \\ $$$$\mathrm{365}×\mathrm{364}×…×\left(\mathrm{365}−{n}+\mathrm{1}\right) \\ $$$${total}\:{number}\:{of}\:{possibilities}: \\…