All 100 targets have a solution.
\(1 = ( 378 \cdot 0 )!\)
\(2 = \frac{ 30 }{ 7 + 8 }\)
\(3 = 78 \cdot 0 + 3 \)
\(4 = 78^{0} + 3 \)
\(5 = \frac{ 70 }{ 3! + 8 }\)
\(6 = 7 - 38^{0 }\)
\(7 = 80 - 73 \)
\(8 = 37 \cdot 0 + 8 \)
\(9 = 37^{0} + 8 \)
\(10 = 3 - 7^{0} + 8 \)
\(11 = \frac{ 80 - 3 }{ 7 }\)
\(12 = 3!! - 708 \)
\(13 = 83 - 70 \)
\(14 = \frac{ 70 }{ 8 - 3 }\)
\(15 = 30 - 7 - 8 \)
\(16 = ( 3 - 7^{0} ) \cdot 8 \)
\(17 = ( 0 + 3 ) \cdot 8 - 7 \)
\(18 = 0 + 3 + 7 + 8 \)
\(19 = \sqrt{\sqrt{7^{8}}} - 30 \)
\(20 = \frac{ 80 }{ 7 - 3 }\)
\(21 = \frac{ \frac{ 7! }{ 30 } }{ 8 }\)
\(22 = 70 - 3! \cdot 8 \)
\(23 = 3 \cdot 8 - 7^{0 }\)
\(24 = ( 78^{0} + 3 )!\)
\(25 = \frac{ 78 }{ 3 } - 0 !\)
\(26 = 7 \cdot 8 - 30 \)
\(27 = \frac{ 78 }{ 3 } + 0 !\)
\(28 = \sqrt{783 + 0 !}\)
\(29 = 30 + 7 - 8 \)
\(30 = ( 8 - 7 ) \cdot 30 \)
\(31 = 30 - 7 + 8 \)
\(32 = 70 - 38 \)
\(33 = ( 7 - 3 ) \cdot 8 + 0 !\)
\(34 = 37 - \sqrt{0! + 8 }\)
\(35 = \frac{ 70 }{ 8 - 3 ! }\)
\(36 = 37 - 8^{0 }\)
\(37 = 0 \cdot 8 + 37 \)
\(38 = 8^{0} + 37 \)
\(39 = 7^{0} + 38 \)
\(40 = \frac{ 80 }{ \sqrt{7 - 3 } }\)
\(41 = 7^{3 - 0!} - 8 \)
\(42 = ( 0 \cdot 8 + 3 )! \cdot 7 \)
\(43 = 80 - 37 \)
\(44 = \frac{ 308 }{ 7 }\)
\(45 = 30 + 7 + 8 \)
\(46 = 70 - 3 \cdot 8 \)
\(47 = 3! \cdot 8 - 7^{0 }\)
\(48 = 78 - 30 \)
\(49 = 7^{3 - 8^{0 }}\)
\(50 = ( 8 - 3 )! - 70 \)
\(51 = ( 7 - 0! ) \cdot 8 + 3 \)
\(52 = ( 8 - 0! ) \cdot 7 + 3 \)
\(53 = ( 0 + 7 ) \cdot 8 - 3 \)
\(54 = 78 - ( 0! + 3 )!\)
\(55 = 7 \cdot 8 - 3^{0 }\)
\(56 = 70 - 3! - 8 \)
\(57 = 87 - 30 \)
\(58 = 7 \cdot 8 - 0! + 3 \)
\(59 = 70 - 3 - 8 \)
\(60 = 780 - 3 !!\)
\(61 = 70 - \sqrt{\sqrt{3^{8 }}}\)
\(62 = ( 0 + 7 ) \cdot 8 + 3 !\)
\(63 = ( 3^{0} + 8 ) \cdot 7 \)
\(64 = 73 - 0! - 8 \)
\(65 = 70 + 3 - 8 \)
\(66 = 73 + 0! - 8 \)
\(67 = 80 - 3! - 7 \)
\(68 = 70 + 3! - 8 \)
\(69 = \frac{ 7! }{ 80 } + 3 !\)
\(70 = 80 - 3 - 7 \)
\(71 = \sqrt{38^{0} + 7 !}\)
\(72 = 73 - 8^{0 }\)
\(73 = 0 \cdot 8 + 73 \)
\(74 = 8^{0} + 73 \)
\(75 = 70 - 3 + 8 \)
\(76 = 80 + 3 - 7 \)
\(77 = 78 - 3^{0 }\)
\(78 = 0 \cdot 3 + 78 \)
\(79 = 3^{0} + 78 \)
\(80 = 73 - 0! + 8 \)
\(81 = 70 + 3 + 8 \)
\(82 = 83 - 7^{0 }\)
\(83 = 0 \cdot 7 + 83 \)
\(84 = 80 - 3 + 7 \)
\(85 = 87 + 0! - 3 \)
\(86 = 7 \cdot 8 + 30 \)
\(87 = 0 \cdot 3 + 87 \)
\(88 = 3^{0} + 87 \)
\(89 = 83 - 0! + 7 \)
\(90 = 80 + 3 + 7 \)
\(91 = 83 + 0! + 7 \)
\(92 = 87 - 0! + 3 !\)
\(93 = 80 + 3! + 7 \)
\(94 = 3 \cdot 8 + 70 \)
\(95 = \frac{ 0! + 3!! }{ 7 } - 8 \)
\(96 = \frac{ 8! }{ 70 \cdot 3 ! }\)
\(97 = \frac{ ( 0 + 3 )!! }{ 8 } + 7 \)
\(98 = ( ( 0 + 3 )! + 8 ) \cdot 7 \)
\(99 = ( 3! + 8 ) \cdot 7 + 0 !\)
\(100 = \sqrt{\sqrt{( 0 + 3 + 7 )^{8 }}}\)