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Posted

I had a teacher in jr. high who gave us this contest right after new year's day:

 

using the numbers of the new year, exactly once and in order, and any math operators, find as many results as you can beginning with 0.

 

Example: 2007

 

0 = 2*0*0*7

1 = 2^0 + (0*7)

2 = 2 + (0*0*7)

3 = 2 plustorial + (0*0*7)

 

and so on.

 

it gets hard quickly. some folks got up to a pretty high number (over a hundred)

 

Posted
i don't believe you

 

4 = 2 + 0 + 0 + floor (√ 7)

5 = 2 + 0 + 0 + ceiling (√ 7)

6 = 2 plustorial + 0 + 0 + ceiling (√ 7)

7 = 2*0 + 0 + 7

8 = 2^0 + 0 + 7

9 = 2 + 0 + 0 + 7

10 = 2 plustorial + 0 + 0 + 7

11 = floor √ 20) + 0 + 7

12 = ceiling (√ 20) + 0 + 7

 

and so on

 

 

note: there are symbols for floor, and ceiling - just don't have time to look 'em up in UBBCode

Posted

13 = 20 - 0 - 7

14 = 20 * 0.7

15 = ?

16 = 20 - 0! - ceiling(√ 7)

17 = 20 + 0 - ceiling(√ 7)

18 = 20 + 0 - floor(√ 7)

19 = 20 + 0! - floor(√ 7)

20 = 20 + 0*7

21 = 20 - 0! + floor(√ 7)

22 = 20 + 0 + floor(√ 7)

23 = 20 + 0 + ceiling(√ 7)

24 = 20 + 0! + ceiling(√ 7)

25 = -(2 plustorial) + 0 + 0 + 7 plustorial

26 = 20 - 0! + 7

27 = 20 + 0 + 7

28 = 20 + 0! + 7

29 = ceiling(200/7)

 

 

 

 

Posted

15 = 2 ^ (plustorial(0! + 0!)) + 7

25 = 20 - 0! - 0! + 7

26 = 20 - 0! - 0 + 7

27 = 20 + 0 - 0 + 7

28 = (2 + 0! + 0!) * 7

29 = 20 + 0! + 0! + 7

30 = 20 + plustorial(0! + 0!) + 7

31 = 2 + 0! + 0 + plustorial(7)

32 = 2 ^ (-0! - 0! + 7)

33 = plustorial(2) + 0! + 0! + 7

34 = plustorial(2) + plustorial(0! + 0!) + 7

35 = (plustorial(2) + 0! + 0!) * 7)

36 = 2 * 0 + plustorial(0! + 7)

37 = 2 / 0! + plustorial(0! + 7)

38 = 2 + 0 + plustorial(0! + 7)

39 = 2 + 0! + plustorial(0! + 7)

40 = plustorial(2) + 0! + plustorial(0! + 7)

41 = plustorial(2)! - 0! + plustorial(0! + 7)

42 = plustorial(2)! + 0 + plustorial(0! + 7)

43 = -2 + plustorial(0! + 0! + 7)

44 = -floor(sqrt(2)) + plustorial(0! + 0! + 7)

45 = floor(sqrt(2)) * plustorial(0! + 0! + 7)

46 = floor(sqrt(2)) + plustorial(0! + 0! + 7)

47 = 2 + plustorial(0! + 0! + 7)

48 = plustorial(2) + plustorial(0! + 0! + 7)

49 = (plustorial(2)! + 0! + 0) * 7

50 = 200/floor(sqrt(sqrt(plustorial(plustorial(7)))))

51 = -floor(sqrt(plustorial(plustorial(plustorial(2)))))+ plustorial(plustorial(0! + 0!) + 7)

52 = -plustorial(floor(sqrt(plustorial(plustorial(2)))))+ plustorial(plustorial(0! + 0!) + 7)

53 = -floor(sqrt(plustorial(plustorial(2))))+ plustorial(plustorial(0! + 0!) + 7)

54 = -floor(sqrt((2)))+ plustorial(plustorial(0! + 0!) + 7)

55 = plustorial(2 + 0! + 0 + 7)

for 56-59, see 51-54 but eliminate the - out front

60-63 and 65+.. see 64 and do a bunch of twiddling like 51-54

64 = -2 + plustorial(floor(sqrt(plustorial(plustorial(0! + 0!) + 7)

 

ok, i'm bored with this now

Posted
15 = 2 ^ (plustorial(0! + 0!)) + 7

25 = 20 - 0! - 0! + 7

26 = 20 - 0! - 0 + 7

27 = 20 + 0 - 0 + 7

28 = (2 + 0! + 0!) * 7

29 = 20 + 0! + 0! + 7

30 = 20 + plustorial(0! + 0!) + 7

31 = 2 + 0! + 0 + plustorial(7)

32 = 2 ^ (-0! - 0! + 7)

33 = plustorial(2) + 0! + 0! + 7

34 = plustorial(2) + plustorial(0! + 0!) + 7

35 = (plustorial(2) + 0! + 0!) * 7)

36 = 2 * 0 + plustorial(0! + 7)

37 = 2 / 0! + plustorial(0! + 7)

38 = 2 + 0 + plustorial(0! + 7)

39 = 2 + 0! + plustorial(0! + 7)

40 = plustorial(2) + 0! + plustorial(0! + 7)

41 = plustorial(2)! - 0! + plustorial(0! + 7)

42 = plustorial(2)! + 0 + plustorial(0! + 7)

43 = -2 + plustorial(0! + 0! + 7)

44 = -floor(sqrt(2)) + plustorial(0! + 0! + 7)

45 = floor(sqrt(2)) * plustorial(0! + 0! + 7)

46 = floor(sqrt(2)) + plustorial(0! + 0! + 7)

47 = 2 + plustorial(0! + 0! + 7)

48 = plustorial(2) + plustorial(0! + 0! + 7)

49 = (plustorial(2)! + 0! + 0) * 7

50 = 200/floor(sqrt(sqrt(plustorial(plustorial(7)))))

51 = -floor(sqrt(plustorial(plustorial(plustorial(2)))))+ plustorial(plustorial(0! + 0!) + 7)

52 = -plustorial(floor(sqrt(plustorial(plustorial(2)))))+ plustorial(plustorial(0! + 0!) + 7)

53 = -floor(sqrt(plustorial(plustorial(2))))+ plustorial(plustorial(0! + 0!) + 7)

54 = -floor(sqrt((2)))+ plustorial(plustorial(0! + 0!) + 7)

55 = plustorial(2 + 0! + 0 + 7)

for 56-59, see 51-54 but eliminate the - out front

60-63 and 65+.. see 64 and do a bunch of twiddling like 51-54

64 = -2 + plustorial(floor(sqrt(plustorial(plustorial(0! + 0!) + 7)

 

ok, i'm bored with this now

 

sweet! good job.

 

hey, it's no more boring than Sudoku. :-)

 

Posted
15 = 2 ^ (plustorial(0! + 0!)) + 7

25 = 20 - 0! - 0! + 7

26 = 20 - 0! - 0 + 7

27 = 20 + 0 - 0 + 7

28 = (2 + 0! + 0!) * 7

29 = 20 + 0! + 0! + 7

30 = 20 + plustorial(0! + 0!) + 7

31 = 2 + 0! + 0 + plustorial(7)

32 = 2 ^ (-0! - 0! + 7)

33 = plustorial(2) + 0! + 0! + 7

34 = plustorial(2) + plustorial(0! + 0!) + 7

35 = (plustorial(2) + 0! + 0!) * 7)

36 = 2 * 0 + plustorial(0! + 7)

37 = 2 / 0! + plustorial(0! + 7)

38 = 2 + 0 + plustorial(0! + 7)

39 = 2 + 0! + plustorial(0! + 7)

40 = plustorial(2) + 0! + plustorial(0! + 7)

41 = plustorial(2)! - 0! + plustorial(0! + 7)

42 = plustorial(2)! + 0 + plustorial(0! + 7)

43 = -2 + plustorial(0! + 0! + 7)

44 = -floor(sqrt(2)) + plustorial(0! + 0! + 7)

45 = floor(sqrt(2)) * plustorial(0! + 0! + 7)

46 = floor(sqrt(2)) + plustorial(0! + 0! + 7)

47 = 2 + plustorial(0! + 0! + 7)

48 = plustorial(2) + plustorial(0! + 0! + 7)

49 = (plustorial(2)! + 0! + 0) * 7

50 = 200/floor(sqrt(sqrt(plustorial(plustorial(7)))))

51 = -floor(sqrt(plustorial(plustorial(plustorial(2)))))+ plustorial(plustorial(0! + 0!) + 7)

52 = -plustorial(floor(sqrt(plustorial(plustorial(2)))))+ plustorial(plustorial(0! + 0!) + 7)

53 = -floor(sqrt(plustorial(plustorial(2))))+ plustorial(plustorial(0! + 0!) + 7)

54 = -floor(sqrt((2)))+ plustorial(plustorial(0! + 0!) + 7)

55 = plustorial(2 + 0! + 0 + 7)

for 56-59, see 51-54 but eliminate the - out front

60-63 and 65+.. see 64 and do a bunch of twiddling like 51-54

64 = -2 + plustorial(floor(sqrt(plustorial(plustorial(0! + 0!) + 7)

 

ok, i'm bored with this now

 

it took you THAT long to get bored?! :noway:

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