0 6 7 9

All 100 targets have a solution.

\(1 = 70 - 69 \)
\(2 = \sqrt{9} - 67^{0 }\)
\(3 = 7 \cdot 9 - 60 \)
\(4 = 67^{0} + \sqrt{9 }\)
\(5 = 6 - 79^{0 }\)
\(6 = 7 - 69^{0 }\)
\(7 = 69 \cdot 0 + 7 \)
\(8 = 9 - 67^{0 }\)
\(9 = 67 \cdot 0 + 9 \)
\(10 = 67^{0} + 9 \)
\(11 = 6! - 709 \)
\(12 = \frac{ 90 - 6 }{ 7 }\)
\(13 = \frac{ 60 }{ \sqrt{9} } - 7 \)
\(14 = 90 - 76 \)
\(15 = \frac{ 60 }{ 7 - \sqrt{9 } }\)
\(16 = 70 - 6 \cdot 9 \)
\(17 = \sqrt{70 - 6} + 9 \)
\(18 = 60 - 7 \cdot \sqrt{9 }!\)
\(19 = 79 - 60 \)
\(20 = ( 9 - 6 ) \cdot 7 - 0 !\)
\(21 = ( 9 - ( 0 + 6 ) ) \cdot 7 \)
\(22 = \frac{ 90 }{ 6 } + 7 \)
\(23 = 90 - 67 \)
\(24 = \sqrt{( 70 - 6 ) \cdot 9 }\)
\(25 = \frac{ 76 - 0! }{ \sqrt{9 } }\)
\(26 = 96 - 70 \)
\(27 = \frac{ 60 }{ \sqrt{9} } + 7 \)
\(28 = \sqrt{790 - 6 }\)
\(29 = ( 0 + 6 ) \cdot \sqrt{9}! - 7 \)
\(30 = \frac{ 60 }{ 9 - 7 }\)
\(31 = ( 6^{0} + \sqrt{9} )! + 7 \)
\(32 = 6 \cdot 7 - 0! - 9 \)
\(33 = ( 0 + 6 ) \cdot 7 - 9 \)
\(34 = 70 - 6 \cdot \sqrt{9 }!\)
\(35 = \frac{ 70 \cdot \sqrt{9} }{ 6 }\)
\(36 = 6^{9 - ( 0 + 7 )}\)
\(37 = 97 - 60 \)
\(38 = \frac{ 76 }{ \sqrt{9} - 0 ! }\)
\(39 = 60 - 7 \cdot \sqrt{9 }\)
\(40 = 760 - \sqrt{9 }!!\)
\(41 = 6 \cdot 7 - 9^{0 }\)
\(42 = ( 0 \cdot 9 + 6 ) \cdot 7 \)
\(43 = 9^{0} + 6 \cdot 7 \)
\(44 = 60 - 7 - 9 \)
\(45 = ( 6 - 7^{0} ) \cdot 9 \)
\(46 = 6 \cdot 9 - 0! - 7 \)
\(47 = ( 0 + 6 ) \cdot 9 - 7 \)
\(48 = 90 - 6 \cdot 7 \)
\(49 = ( 9^{0} + 6 ) \cdot 7 \)
\(50 = 60 - 7 - \sqrt{9 }\)
\(51 = ( 0 + 6 ) \cdot 7 + 9 \)
\(52 = 70 - 6 \cdot \sqrt{9 }\)
\(53 = 6 \cdot 9 - 7^{0 }\)
\(54 = ( 7 - 6^{0} ) \cdot 9 \)
\(55 = 70 - 6 - 9 \)
\(56 = 60 - 7 + \sqrt{9 }\)
\(57 = 67 - 0! - 9 \)
\(58 = 60 + 7 - 9 \)
\(59 = 67 + 0! - 9 \)
\(60 = \sqrt{60^{9 - 7 }}\)
\(61 = 69 - 0! - 7 \)
\(62 = 60 - 7 + 9 \)
\(63 = 69 + 0! - 7 \)
\(64 = 60 + 7 - \sqrt{9 }\)
\(65 = 67 + 0! - \sqrt{9 }\)
\(66 = 67 - 9^{0 }\)
\(67 = 0 \cdot 9 + 67 \)
\(68 = 9^{0} + 67 \)
\(69 = 0 \cdot 7 + 69 \)
\(70 = 790 - 6 !\)
\(71 = 67 + 0! + \sqrt{9 }\)
\(72 = \sqrt{70 - 6} \cdot 9 \)
\(73 = 70 - 6 + 9 \)
\(74 = 79 + 0! - 6 \)
\(75 = 76 - 9^{0 }\)
\(76 = 60 + 7 + 9 \)
\(77 = 9^{0} + 76 \)
\(78 = 79 - 6^{0 }\)
\(79 = 0 \cdot 6 + 79 \)
\(80 = 6^{0} + 79 \)
\(81 = 7 \cdot \sqrt{9} + 60 \)
\(82 = 70 + 6 + \sqrt{9 }!\)
\(83 = 90 - \frac{ 7! }{ 6 ! }\)
\(84 = 76 - 0! + 9 \)
\(85 = 70 + 6 + 9 \)
\(86 = 76 + 0! + 9 \)
\(87 = \frac{ 609 }{ 7 }\)
\(88 = 6 \cdot \sqrt{9} + 70 \)
\(89 = 90 + 6 - 7 \)
\(90 = ( 7 - 6 ) \cdot 90 \)
\(91 = 90 - 6 + 7 \)
\(92 = 97 + 0! - 6 \)
\(93 = \frac{ 7! }{ 60 } + 9 \)
\(94 = \frac{ 0! + 6! }{ 7 } - 9 \)
\(95 = 96 - 7^{0 }\)
\(96 = 0 \cdot 7 + 96 \)
\(97 = 7^{0} + 96 \)
\(98 = 6^{0} + 97 \)
\(99 = \frac{ 6! }{ 0! + 7 } + 9 \)
\(100 = ( 0! + \sqrt{9} )! + 76 \)