# ANSWERS to Sunny's Four 4's Challenge

### HINTS

^= power
Therefore 4^SQRT4 = 42=16

! = factorial
Therefore 4!= 4x3x2x1.

!! = double factorial
With an even number such as 4, you just multiply the even numbers, so
4!! = 4x2 =8 or 6!! = 6x4x2 = 48
or 8!! = 8x6x4x2=384.
With an odd number such as 7 you just multiply the odd numbers so
7!! = 7x5x3x1 =105.

!!! = triple factorial
Take your number and subtract 3, then subtract 3 again and keep subtracting 3 until you get to 0 or less. Then multiply all the answers together to get the triple factorial. Therefore:
8!!! = 8 x 5 x 2 = 80
10!!! = 10 x 7 x 4 x 1 = 280.

INT = the INTEGER function
If you get a number with a decimal after it, just ignore the decimal bit. Therefore:
INT(3.741) = 3
INT(19.26) = 19

We should like to apologise to any four wheel drive vehicle enthusiasts who have found this page through a search engine and are just a TINY 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 + SQRT4 43= 44 - 4/4 44= 44 + 4 - 4 45= 44 + 4/4 46= 44 + 4 - SQRT4 47= 44 + (4!/4!!) 48= 44 + SQRT4 + SQRT4 49= (4! x SQRT4) + 4/4 50= 44 + 4 + SQRT4 51= 4! x SQRT4 + (4!/4!!) 52= 44 + 4 + 4 53= ((4!!)!! + 4!)/ 4!! + SQRT4 54= 4! x SQRT4 + SQRT4 + 4 55= ((4!!)!! + 4!)/ 4!! + 4 56= 4! x SQRT4 + 4 + 4 57= (4!/4!!)^4 - 4! 58= 4!! x 4!! - 4 - SQRT4 59= ((4!!)!! + 4!)/ 4!! + 4!! 60= 4!! x 4!! - SQRT4 - SQRT4 61= 4!! x 4!! - (4!/4!!) 62= 4!! x 4!! - 4 + SQRT4 63= 4!! x 4!! - 4/4 64= 4!! x 4!! + 4 - 4 65= 4!! x 4!! + 4/4 66= 4!! x 4!! + 4 - SQRT4 67= 4!! x 4!! + (4!/4!!) 68= 4!! x 4!! + SQRT4 + SQRT4 69= ((4!)^SQRT4 - 4!)/ 4!! 70= 4!! x 4!! + 4 + SQRT4 71= ((4!)^SQRT4 - 4!!)/ 4!! 72= 4!! x 4!! + 4 + 4 73= ((4!/4!!)^4 - 4!! 74= 4!! x 4!! + 4!! + SQRT4 75= ((4!)^SQRT4 + 4!)/ 4!! 76= 4! x (4!/4!!) + 4 77= (4!/4!!)^4 - 4 78= 4!! x (4!! + SQRT4) - SQRT4 79= (4!/4!!)^4 - SQRT4 80= 4!! x (4 + 4 + SQRT4) 81= (4 - 4/4)^4 82= 4!! x (4!! + SQRT4) + SQRT4 83= (4!/4!!)^4 + SQRT4 84= 4!! x (4!! + SQRT4) + 4 85= (4!/4!!)^4 + 4 86= (4 + SQRT4)! / 4!! - 4 87= ((4 + SQRT4)! - 4!) / 4!! 88= (4 + SQRT4)! / 4!! - SQRT4 89= (4!/4!!)^4 + 4!! 90= (SQRT4 + SQRT4 + SQRT4)! / 4!! 91= ((4 + SQRT4)! + 4!!) / 4!! 92= 4! x 4 - SQRT4 - SQRT4 93= 4! x 4 - (4!/4!!) 94= 4! x 4 - 4 + SQRT4 95= 4! x 4 - 4/4 96= 4! x 4 + 4 - 4 97= 4! x 4 + 4/4 98= 4! x 4 + 4 - SQRT4 99= 4! x 4 + (4!/4!!) 100= (4 + 4 + SQRT4)^SQRT4   or 4! x 4 + SQRT4 + SQRT4 © Murderous Maths 2004