2
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Rules:
Make the numbers 1-100 using six 6s
Use the operations + - * / exponentiation and !
No Rounding as in $((6 - (6 + 6) / 6) + 6!!) / 6 = 9$
No using other digits
Multi digit numbers and .6 is allowed
Use overhead lines for recurring decimals: $.\overline{6} = .66... = \frac{2}{3}$
Multifactorial is allowed but each multifactorial can’t have more than 10 factorials: $(6+6)!!!!!!!=12*5=60$
Subfactorials are allowed: $!n=\lfloor{\frac{n!}{e}+\frac{1}{2}}\rfloor$
Have Fun!

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  • 6
    $\begingroup$ Um, isn't 1-100 kinda too much to ask for in one puzzle? 😅 $\endgroup$ – 41686d6564 Apr 23 at 8:59
  • 4
    $\begingroup$ Why was this closed? It is clearly focused on 1 problem. $\endgroup$ – DenverCoder1 Apr 23 at 11:45
  • 2
    $\begingroup$ @JMP It's only punishment if you don't like math. I found this fun and I was able to complete it in a reasonable amount of time (less than 2 hours). $\endgroup$ – DenverCoder1 Apr 23 at 11:51
  • 4
    $\begingroup$ Yeah why is it closed? There are other puzzles out there that are also 1-100 but they are still open! $\endgroup$ – Matheinstein Apr 23 at 11:52
  • 1
    $\begingroup$ Agreed, and voted to reopen. $\endgroup$ – Rand al'Thor Apr 23 at 12:04
4
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All 100 complete!

(Using $6! = 720,\ 6!! = 48$)

$6+6+6/6-6-6 = 1$

$6+6/6+6/6-6 = 2$

$6+6+.6-6-.6 \times 6 = 3$

$6+6+6 \times .\overline{6}-6-6 = 4$

$6+6-.6-.6 \times .\overline{6}-6 = 5$

$6+.6+.6 \times .\overline{6}-6/6 = 6$

$6+6+.6+.6 \times .\overline{6}-6 = 7$

$6+6+6-6-.\overline{6} \times 6 = 8$

$6+6+6/6-.\overline{6} \times 6 = 9$

$6+6+.\overline{6}-.\overline{6} \times .\overline{6} \times 6 = 10$

$6+6+6-6-6/6 = 11$

$6+6+6+6-6-6 = 12$

$6+6+6+6/6-6 = 13$

$6+6+6/6+6/6 = 14$

$6+6+6 \times .\overline{6}-6/6 = 15$

$6+6+6+6 \times .\overline{6}-6 = 16$

$6+6+6/6+.\overline{6} \times 6 = 17$

$6+6 \times 6-6 \times .\overline{6} \times 6 = 18$

$6+6+.6+.6 \times .\overline{6}+6 = 19$

$6+6+6+6-.\overline{6} \times 6 = 20$

$6+6+6-.6+.6 \times 6 = 21$

$6/6-.6+6 \times .6 \times 6 = 22$

$6+6+6+6-6/6 = 23$

$6+6+6+6+6-6 = 24$

$6+6+6+6+6/6 = 25$

$6+6 \times 6 \times .\overline{6}-.\overline{6} \times 6 = 26$

$6 \times 6+.6-6-.6 \times 6 = 27$

$6+6+6+6+.\overline{6} \times 6 = 28$

$6+6 \times 6 \times .\overline{6}-6/6 = 29$

$6+6+6 \times 6 \times .\overline{6}-6 = 30$

$6+6/6+6 \times .\overline{6} \times 6 = 31$

$6+6 \times 6-6-.\overline{6} \times 6 = 32$

$6+6-.6+6 \times .6 \times 6 = 33$

$6+6 \times 6 \times .\overline{6}+.\overline{6} \times 6 = 34$

$6+6 \times 6-6-6/6 = 35$

$6+6+6+6+6+6 = 36$

$6+6/6+6 \times 6-6 = 37$

$6/6+6/6+6 \times 6 = 38$

$6+6 \times 6+.6-.6 \times 6 = 39$

$6+6 \times 6+6 \times .\overline{6}-6 = 40$

$6-.6-.6 \times .\overline{6}+6 \times 6 = 41$

$6+6+6+6 \times .\overline{6} \times 6 = 42$

$6+.6+.6 \times .\overline{6}+6 \times 6 = 43$

$6+6+6 \times 6-.\overline{6} \times 6 = 44$

$6+6 \times 6-.6+.6 \times 6 = 45$

$66 \times .6+.6 \times .\overline{6}+6 = 46$

$6+6+6 \times 6-6/6 = 47$

$6+6+6+6 \times 6-6 = 48$

$6+6+6/6+6 \times 6 = 49$

$66-6-6-.\overline{6} \times 6 = 50$

$66 \times .6+6-.6+6 = 51$

$6+6+6 \times 6+.\overline{6} \times 6 = 52$

$66 - 6 - 6 - 6/6 = 53$

$6 \times 6+6 \times 6 \times .\overline{6}-6 = 54$

$66+6/6-6-6 = 55$

$6!!+6!!-6 \times 6-.\overline{6} \times 6 = 56$

$6 \times 6-.6+6 \times .6 \times 6 = 57$

$66+6 \times .\overline{6}-6-6 = 58$

$66-.6-.6 \times .\overline{6}-6 = 59$

$6+6+6+6+6 \times 6 = 60$

$66+.6+.6 \times .\overline{6}-6 = 61$

$66+6-6-.\overline{6} \times 6 = 62$

$66+6/6-.\overline{6} \times 6 = 63$

$6 \times 6 \times .\overline{6} \times .\overline{6} \times .\overline{6} \times 6 = 64$

$66+6-6-6/6 = 65$

$6+6 \times 6+6 \times .\overline{6} \times 6 = 66$

$66+6+6/6-6 = 67$

$6 \times 6+6 \times 6-.\overline{6} \times 6 = 68$

$66+6+.6-.6 \times 6 = 69$

$66+6+6 \times .\overline{6}-6 = 70$

$6 \times 6+6 \times 6-6/6 = 71$

$6+6 \times 6+6 \times 6-6 = 72$

$6/6+6 \times 6+6 \times 6 = 73$

$66+6+6-.\overline{6} \times 6 = 74$

$66+6-.6+.6 \times 6 = 75$

$6 \times 6+6 \times 6+.\overline{6} \times 6 = 76$

$66+6+6-6/6 = 77$

$66+6+6+6-6 = 78$

$66+6+6+6/6 = 79$

$6!!/6+6 \times 6+6 \times 6 = 80$

$6!!+6 \times 6+.6-.6 \times 6 = 81$

$66+6+6+.\overline{6} \times 6 = 82$

$6!/6-6/6-6 \times 6 = 83$

$6+6+6 \times 6+6 \times 6 = 84$

$6!/6+6/6-6 \times 6 = 85$

$66 \times .\overline{6}+6+6 \times 6 = 86$

$.6+6 \times 6 \times .6 \times .\overline{6} \times 6 = 87$

$6!/6+6 \times .\overline{6}-6 \times 6 = 88$

$6!!+6+6 \times 6-6/6 = 89$

$6 \times 6 \times 6 \times .\overline{6} \times .\overline{6}-6 = 90$

$6!!+6+6/6+6 \times 6 = 91$

$6!! \times 6 \times .\overline{6} \times .\overline{6}-6 \times 6 = 92$

$6!!+6!!+6/6-.\overline{6} \times 6 = 93$

$6!!+6+6 \times 6+.\overline{6} \times 6 = 94$

$6!!+6!!+6-6-6/6 = 95$

$66+6+6 \times .\overline{6} \times 6 = 96$

$6!!+6!!+6+6/6-6 = 97$

$66+6 \times 6-.\overline{6} \times 6 = 98$

$6!/6+.6-6 \times .6 \times 6 = 99$

$6!!+6!!+6+6 \times .\overline{6}-6 = 100$

| improve this answer | |
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  • 1
    $\begingroup$ 80: 6!/(6*6) + 6*6/.6 $\endgroup$ – Chronocidal Apr 23 at 11:02
  • 1
    $\begingroup$ $91=6!!+6*6+6+\frac{6}{6}$ $\endgroup$ – Matheinstein Apr 23 at 11:25
  • 1
    $\begingroup$ $100=\frac{666-66}{6}$ $\endgroup$ – JMP Apr 23 at 11:44
  • $\begingroup$ How does 6!! = 48? Does 6!! mean something different from (6!)!? $\endgroup$ – 41686d6564 Apr 23 at 20:43
  • 1
    $\begingroup$ @AhmedAbdelhameed Yes, it is a double factorial which is evaluated as $n \cdot (n-2) \dots$. $6!! = 6 \cdot 4 \cdot 2 = 48$. $\endgroup$ – DenverCoder1 Apr 23 at 20:46
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Some numbers missing from eyl327's answer

$80=6!/6-6\cdot6-.\bar6\cdot6$
$83=6!/6-6\cdot6-6/6$
$85=6!/6-6\cdot6+6/6$
$88=6!/6-6\cdot6+.\bar6\cdot6$
$96=6!/6-6-6-6-6$

| improve this answer | |
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