l>jiyuushikan.org: The Four 4"s Challenge
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ANSWERS to Sunny"s Four 4"s ChallengeHere are all the solutions to Sunny"s Four 4"s ChallengeIf you unjiyuushikan.orgver any type of errors, please let us know!HINTS^= powerThus 4^SQRT4 = 42=16! = factorial Thus 4!= 4x3x2x1.!! = double factorial With an also number such as 4, you simply multiply the even numbers, so 4!! = 4x2 =8 or 6!! = 6x4x2 = 48 or 8!! = 8x6x4x2=384. With an odd number such as 7 you simply multiply the odd numbers so 7!! = 7x5x3x1 =105.!!! = triple factorial Take your number and subtract 3, then subtract 3 aacquire and store subtracting 3 till you get to 0 or less. Then multiply all the answers together to get the triple factorial. Therefore:8!!! = 8 x 5 x 2 = 8010!!! = 10 x 7 x 4 x 1 = 280. INT = the INTEGER functionIf you get a number via a decimal after it, simply overlook the decimal bit.Therefore:INT(3.741) = 3INT(19.26) = 19We need to favor to apologise to any kind of 4 wheel drive vehicle enthusiasts that have actually unjiyuushikan.orgvered this web page with a search engine and are simply a TINY little bit disappointed. 1= 44/44 2= 4/4 + 4/4 3= (4 + 4 + 4) / 4 4= 4 + (4 - 4) x 4 5= (4 x 4 + 4) / 4 6= (4 + 4) / 4 + 4 7= 4 + 4 - 4/4 8= 4 + 4 + 4 - 4 9= 4 + 4 + 4/4 10= (44 - 4) / 4 11= 44 / (SQRT4 + SQRT4) 12= 4 x 4 - SQRT4 x SQRT4 13= 44/4 +SQRT4 14= 4 x 4 - 4 + SQRT4 15= 4 x 4 - 4/4 16= 4+ 4 +4 + 4 17= 4 x 4 + 4/4 18= 4 x 4 + 4 - SQRT4 19= 4! - 4 - 4/4 20= (4 + 4) x SQRT4 + 4 21= (44 - SQRT4) / SQRT4 22= 4 x 4 + 4 + SQRT4 23= 4! + 4/4 - SQRT4 24= 4 x 4+ 4 + 4 25= (SQRT4 + SQRT4)! + 4/4 26= 4 x 4 + 4!! + SQRT4 27= 4! + SQRT4 + 4/4 28= 4! + 4 + 4 - 4 29= 4! + 4 + 4/4 30= 4! + 4 + 4 - SQRT4 31= 4! + 4!! - 4/4 32= 4! + 4!! + 4 - 4 33= 4! + 4!! + 4/4 34= 4! + 4!! + 4 - SQRT4 35= 4! + 4!! + (4!/4!!) 36= 4! + 4 + 4 + 4 37= 4! + (4! + SQRT4) / SQRT4 38= 4! + 4!! + 4 + SQRT4 39= 4! + (4 + 4/4)!! 40= 44 - SQRT4 - SQRT4 41= 44 - (4!/4!!)42= 44 - 4 + SQRT443= 44 - 4/444= 44 + 4 - 445= 44 + 4/446= 44 + 4 - SQRT447= 44 + (4!/4!!)48= 44 + SQRT4 + SQRT449= (4! x SQRT4) + 4/450= 44 + 4 + SQRT4 51= 4! x SQRT4 + (4!/4!!)52= 44 + 4 + 453= ((4!!)!! + 4!)/ 4!! + SQRT454= 4! x SQRT4 + SQRT4 + 455= ((4!!)!! + 4!)/ 4!! + 456= 4! x SQRT4 + 4 + 457= (4!/4!!)^4 - 4!58= 4!! x 4!! - 4 - SQRT459= ((4!!)!! + 4!)/ 4!! + 4!!60= 4!! x 4!! - SQRT4 - SQRT4 61= 4!! x 4!! - (4!/4!!)62= 4!! x 4!! - 4 + SQRT463= 4!! x 4!! - 4/464= 4!! x 4!! + 4 - 465= 4!! x 4!! + 4/466= 4!! x 4!! + 4 - SQRT467= 4!! x 4!! + (4!/4!!)68= 4!! x 4!! + SQRT4 + SQRT469= ((4!)^SQRT4 - 4!)/ 4!!70= 4!! x 4!! + 4 + SQRT4 71= ((4!)^SQRT4 - 4!!)/ 4!!72= 4!! x 4!! + 4 + 473= ((4!/4!!)^4 - 4!!74= 4!! x 4!! + 4!! + SQRT475= ((4!)^SQRT4 + 4!)/ 4!!76= 4! x (4!/4!!) + 477= (4!/4!!)^4 - 478= 4!! x (4!! + SQRT4) - SQRT479= (4!/4!!)^4 - SQRT480= 4!! x (4 + 4 + SQRT4) 81= (4 - 4/4)^482= 4!! x (4!! + SQRT4) + SQRT483= (4!/4!!)^4 + SQRT484= 4!! x (4!! + SQRT4) + 485= (4!/4!!)^4 + 486= (4 + SQRT4)! / 4!! - 487= ((4 + SQRT4)! - 4!) / 4!!88= (4 + SQRT4)! / 4!! - SQRT489= (4!/4!!)^4 + 4!!90= (SQRT4 + SQRT4 + SQRT4)! / 4!! 91= ((4 + SQRT4)! + 4!!) / 4!!92= 4! x 4 - SQRT4 - SQRT493= 4! x 4 - (4!/4!!)94= 4! x 4 - 4 + SQRT495= 4! x 4 - 4/496= 4! x 4 + 4 - 497= 4! x 4 + 4/498= 4! x 4 + 4 - SQRT499= 4! x 4 + (4!/4!!)100= (4 + 4 + SQRT4)^SQRT4  or 4! x 4 + SQRT4 + SQRT4&jiyuushikan.orgpy; Murderous Maths 2004And right here are all the services for numbers 101-200 and beyond!101 = (4 + (4!/4!!))!! - 4102 = ((4!!)!! + 4!)/ (SQRT4 + SQRT4) 103 = (4 + (4!/4!!))!! - SQRT4104 = ((4!!)!! + 4!)/ 4 + SQRT4 105 = (4 + 4 - 4/4)!!106 = ((4!!)!! + 4!)/ 4 + 4107 = (4 + (4!/4!!))!! + SQRT4108 = (4!! + SQRT4)^SQRT4 + 4!!109 = (4 + (4!/4!!))!! + 4110 = ((4!!)!! + 4!)/ 4 + 4!! 111 = 444/4112 = (4 + 4/4)! - 4!!113 = (4 + (4!/4!!))!! + 4!!114 = (4 + SQRT4)! / 4!! + 4!115 = ((4!!)!! + (4!!)!!! - 4)/4116 = (4 + 4/4)! - 4117 = ((4!!)!! + (4!!)!!! + 4)/4118 = (4 + 4/4)! - SQRT4119 = 4 x 4! + INT (SQRT(4!!)!!) + 4120 = ((4 x 4 + 4)/ 4)!121 = (44/4)^SQRT4122 = (4 + 4/4)! + SQRT4 123 = 4 x 4! + INT (SQRT(4!!)!!) + 4!!124 = 4x4! + 4! +4125 = (((4!!)!! - 4!)/4!!) + (4!!)!!!126 = (4^4/SQRT4) -SQRT4127 = (((4!!)!! x 4!!) - 4!)/4!128 = 4x4x4xSQRT4129 = (((4!!)!! x 4!!) + 4!)/4!130 = (4^4/SQRT4) + SQRT4131 = (((4!!)!! + 4!)/4!!) + (4!!)!!!132 = (4^4/SQRT4) + 4133 = (4!! - 4/4) x INT(SQRT (4!!)!!)134 = ((4!!)!!! x SQRT4) - 4! - SQRT4135 = (4!! x INT(SQRT (4!!)!!)) -INT(SQRT (4!!)!!) + SQRT4136 = (4^4/SQRT4) + 4!!137 = (4!! x INT(SQRT (4!!)!!)) -INT(SQRT (4!!)!!) + 4138 = (((4!)^SQRT4) - 4!)/4139 = ((4!! + SQRT4)!!! - SQRT4)/SQRT4140 = ((4!)^SQRT4)/4 - 4141 = ((4!! + SQRT4)!!! + SQRT4)/SQRT4142 = ((4!)^SQRT4)/4 - SQRT4143 = (((4!)^SQRT4) - 4)/4144 = (SQRT4 + SQRT4 + SQRT4) x 4!145 = (((4!)^SQRT4) + 4)/4146 = ((4!)^SQRT4)/4 + SQRT4147 = (4!! x INT(SQRT(4!!)!!)) - 4 - INT(SQRT(SQRT4))148 = ((4!)^SQRT4)/4 + 4149 = (4!! x INT(SQRT(4!!)!!)) - (4!/4!!)150 = (((4!)^SQRT4) + 4!)/4151 = ((4!!)!! - (4!!)!!! - SQRT4)/SQRT4152 = ((4!)^SQRT4)/4 + 4!!153 = ((4!!)!! - (4!!)!!! + SQRT4)/SQRT4154 = ((4!!)!!! x SQRT4) - 4 - SQRT4155 = INT(SQRT((4!!)!)) - INT(SQRT((4!!)!!)) -4! -SQRT4156 = (4! + SQRT4) x (4!/4)157 = ((4!!)!!! x SQRT4) - (4!/4!!)158 = ((4! - 4) x 4!!) - SQRT4159 = ((4!!)!!! x SQRT4) - 4/4160 = (44-4) x 4161 = ((4!!)!!! x SQRT4) + 4/4162 = ((4! - 4) x 4!!) + SQRT4163 = ((4!!)!!! x SQRT4) + (4!/4!!)164 = (4! x 4!!) - 4! - 4165 = INT(SQRT((4!!)!)) - INT(SQRT((4!!)!!)) -4! + 4!!166 = (4! x 4!!) - 4! - SQRT4167 = (4!!)!! - INT(SQRT((4!!)!)) - INT(SQRT((4!!)!!)) + SQRT4168 = (4 + 4!/4!!) x 4!169 = ((4! + SQRT4)/SQRT4)^SQRT4170 = (4! x 4!!) - 4! + SQRT4171 = INT(SQRT((4!!)!)) - INT(SQRT((4!!)!!)) -4!! - SQRT4172 = (44 x 4) - 4173 = INT(SQRT((4!!)!)) - 4! -(4!/4!!)174 = (44 x 4) - SQRT4175 = INT(SQRT((4!!)!)) - 4! -4/4176 = 44 x SQRT4 x SQRT4177 = INT(SQRT((4!!)!)) - 4! +4/4178 = (44 x 4) + SQRT4179 = ((4!!)!! - 4! - SQRT4)/SQRT4180 = (4! x 4!!) - 4!! - 4181 = ((4!!)!! - 4! + SQRT4)/SQRT4182 = (4! x 4!!) - 4!! - SQRT4183 = INT(SQRT((4!!)!)) - INT(SQRT((4!!)!!)) + SQRT4184 = (4! x 4!!) - 4 - 4185 = (4 + (4!/4!!))!! + (4!!)!!!186 = (4! x 4!!) - 4 - SQRT4187 = ((4!!)!! - 4!! - SQRT4)/SQRT4188 = (4! x 4!!) - (SQRT4 x SQRT4)189 = (4! x 4!!) - (4!/4!!)190 = (4! x 4!!) - (4/SQRT4)191 = (4! x 4!!) - (4/4)192 = (4! x 4!!) x 4/4193 = (4! x 4!!) + (4/4)194 = (4! x 4!!) + (4/SQRT4)195 = (4! x 4!!) + (4!/4!!)196 = (4!! + 4 + SQRT4)^SQRT4197 = ((4!!)!! +4!! +SQRT4)/SQRT4198 = (4! x 4!!) + 4 + SQRT4199 = INT(SQRT((4!!)!)) - (SQRT4 x SQRT4)/4200 = (4! x 4!!) + 4 + 4And below are just a jiyuushikan.orguple of more... 201 = INT(SQRT((4!!)!)) + (SQRT4 x SQRT4)/4202 = ((4!!)!! + 4! - 4)/SQRT4203 = ((4!!)!! + 4! - SQRT4)/SQRT4204 = ((4!!)!! + (SQRT4 x SQRT4)!)/SQRT4205 = ((4!!)!! + 4! + SQRT4)/SQRT4206 = ((4!!)!! + 4! + 4)/SQRT4207 = INT(SQRT((4!!)!)) + 4 + 4!/4!!208 = (4! x 4!!) + (4 x 4)209 = INT(SQRT((4!!)!)) + 4!! +4/4210 = (4 + 4!/4!!)!! x SQRT4)211 = INT(SQRT((4!!)!)) + 4!! + 4!/4!!212 = INT(SQRT((4!!)!)) + 4+ 4 +4&jiyuushikan.orgpy; Murderous Maths 2004Many kind of thanks to Sunny (Ana Marin) and Michael Jones that initially gave these answers to us means ago in 2004.


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Tbelow is additionally a response using the LOG feature to develop ANY number! All you have to do is boost the number of square root signs in the bracket.Pray tell, what is this sorcery?All is defined right here by the brilliant Alex Bellos...
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