All 100 targets have a solution.
\(1 = 6! - 719 \)
\(2 = 71 - 69 \)
\(3 = \sqrt{\sqrt{97 - 16 }}\)
\(4 = \frac{ 76 }{ 19 }\)
\(5 = \sqrt{96 - 71 }\)
\(6 = \sqrt{169} - 7 \)
\(7 = \sqrt{196} - 7 \)
\(8 = \frac{ 16 }{ 9 - 7 }\)
\(9 = \sqrt{97 - 16 }\)
\(10 = \frac{ 61 + 9 }{ 7 }\)
\(11 = \sqrt{16 \cdot 7 + 9 }\)
\(12 = \frac{ 96 }{ 1 + 7 }\)
\(13 = \frac{ 79 - 1 }{ 6 }\)
\(14 = 16 + 7 - 9 \)
\(15 = 91 - 76 \)
\(16 = \frac{ 96 }{ 7 - 1 }\)
\(17 = 71 - 6 \cdot 9 \)
\(18 = 79 - 61 \)
\(19 = ( 7 - 6 ) \cdot 19 \)
\(20 = \sqrt{169} + 7 \)
\(21 = \sqrt{196} + 7 \)
\(22 = \frac{ 67 - 1 }{ \sqrt{9 } }\)
\(23 = 6 \cdot 7 - 19 \)
\(24 = 91 - 67 \)
\(25 = 96 - 71 \)
\(26 = 16 + 7 + \sqrt{9 }\)
\(27 = ( 7 - \sqrt{16} ) \cdot 9 \)
\(28 = \frac{ 196 }{ 7 }\)
\(29 = \sqrt{16} \cdot 9 - 7 \)
\(30 = ( 1 + 7 - \sqrt{9} ) \cdot 6 \)
\(31 = \sqrt{16} \cdot 7 + \sqrt{9 }\)
\(32 = 16 + 7 + 9 \)
\(33 = ( 17 - 6 ) \cdot \sqrt{9 }\)
\(34 = \frac{ 17 \cdot 6 }{ \sqrt{9 } }\)
\(35 = \frac{ \frac{ 7! }{ 16 } }{ 9 }\)
\(36 = 97 - 61 \)
\(37 = 6 \cdot 9 - 17 \)
\(38 = \sqrt{961} + 7 \)
\(39 = ( 1 + 7 ) \cdot 6 - 9 \)
\(40 = 61 - 7 \cdot \sqrt{9 }\)
\(41 = 16 \cdot \sqrt{9} - 7 \)
\(42 = 1^{9} \cdot 6 \cdot 7 \)
\(43 = \sqrt{16} \cdot 9 + 7 \)
\(44 = ( 6 - 1 ) \cdot 7 + 9 \)
\(45 = 61 - 7 - 9 \)
\(46 = 6 \cdot 9 - 1 - 7 \)
\(47 = 7 \cdot 9 - 16 \)
\(48 = 67 - 19 \)
\(49 = ( 16 - 9 ) \cdot 7 \)
\(50 = 6 \cdot 7 - 1 + 9 \)
\(51 = ( 9 - 6 ) \cdot 17 \)
\(52 = 69 - 17 \)
\(53 = 71 - 6 \cdot \sqrt{9 }\)
\(54 = ( 7 - 1^{6} ) \cdot 9 \)
\(55 = 79 - \sqrt{16 }!\)
\(56 = 71 - 6 - 9 \)
\(57 = 76 - 19 \)
\(58 = 67 \cdot 1 - 9 \)
\(59 = 61 + 7 - 9 \)
\(60 = \frac{ 6! }{ 19 - 7 }\)
\(61 = 6 \cdot 7 + 19 \)
\(62 = 69 \cdot 1 - 7 \)
\(63 = 79 - 16 \)
\(64 = ( 7 - \sqrt{9} ) \cdot 16 \)
\(65 = 61 + 7 - \sqrt{9 }\)
\(66 = 67 - 1^{9 }\)
\(67 = 1^{9} \cdot 67 \)
\(68 = 1^{9} + 67 \)
\(69 = 1^{7} \cdot 69 \)
\(70 = 1^{7} + 69 \)
\(71 = 791 - 6 !\)
\(72 = ( 19 - 7 ) \cdot 6 \)
\(73 = 79 \cdot 1 - 6 \)
\(74 = 71 - 6 + 9 \)
\(75 = 79 - \sqrt{16 }\)
\(76 = 67 \cdot 1 + 9 \)
\(77 = 61 + 7 + 9 \)
\(78 = 79 - 1^{6 }\)
\(79 = 96 - 17 \)
\(80 = 1^{6} + 79 \)
\(81 = 97 - 16 \)
\(82 = 7 \cdot \sqrt{9} + 61 \)
\(83 = \sqrt{16} + 79 \)
\(84 = 76 - 1 + 9 \)
\(85 = 76 \cdot 1 + 9 \)
\(86 = 17 + 69 \)
\(87 = 7 \cdot 9 + \sqrt{16 }!\)
\(88 = 96 - 1 - 7 \)
\(89 = 96 \cdot 1 - 7 \)
\(90 = 91 + 6 - 7 \)
\(91 = \sqrt{169} \cdot 7 \)
\(92 = 91 - 6 + 7 \)
\(93 = 97 - \sqrt{16 }\)
\(94 = \frac{ 1 + 6! }{ 7 } - 9 \)
\(95 = 16 + 79 \)
\(96 = 1^{7} \cdot 96 \)
\(97 = 1^{7} + 96 \)
\(98 = \sqrt{196} \cdot 7 \)
\(99 = ( 17 - 6 ) \cdot 9 \)
\(100 = ( 1 + \sqrt{9} )! + 76 \)