All 100 targets have a solution.
\(1 = ( 234 \cdot 0 )!\)
\(2 = \frac{ 20 }{ 4 } - 3 \)
\(3 = 4 - 23^{0 }\)
\(4 = 23 \cdot 0 + 4 \)
\(5 = 23^{0} + 4 \)
\(6 = 30 - 24 \)
\(7 = \frac{ 30 - 2 }{ 4 }\)
\(8 = 40 - 32 \)
\(9 = \frac{ 24 }{ 3 } + 0 !\)
\(10 = 20 - 3! - 4 \)
\(11 = \frac{ 30 }{ 2 } - 4 \)
\(12 = 42 - 30 \)
\(13 = 20 - 3 - 4 \)
\(14 = 34 - 20 \)
\(15 = \frac{ 20 \cdot 3 }{ 4 }\)
\(16 = \frac{ 30 + 2 }{ \sqrt{4 } }\)
\(17 = 40 - 23 \)
\(18 = \sqrt{320 + 4 }\)
\(19 = 20 + 3 - 4 \)
\(20 = ( 4 - 3 ) \cdot 20 \)
\(21 = 20 - 3 + 4 \)
\(22 = 23 - 4^{0 }\)
\(23 = 43 - 20 \)
\(24 = 4^{0} + 23 \)
\(25 = 3^{0} + 24 \)
\(26 = 3 \cdot \sqrt{4} + 20 \)
\(27 = 20 + 3 + 4 \)
\(28 = 30 + 2 - 4 \)
\(29 = 3^{\sqrt{4}} + 20 \)
\(30 = 20 + 3! + 4 \)
\(31 = 32 - 4^{0 }\)
\(32 = 3 \cdot 4 + 20 \)
\(33 = 4^{0} + 32 \)
\(34 = \frac{ 204 }{ 3 ! }\)
\(35 = 2^{0} + 34 \)
\(36 = 30 + 2 + 4 \)
\(37 = 20 \cdot \sqrt{4} - 3 \)
\(38 = 2 \cdot 4 + 30 \)
\(39 = 40 + 2 - 3 \)
\(40 = \frac{ 240 }{ 3 ! }\)
\(41 = 40 - 2 + 3 \)
\(42 = 0 \cdot 3 + 42 \)
\(43 = 3^{0} + 42 \)
\(44 = 4^{3} - 20 \)
\(45 = 40 + 2 + 3 \)
\(46 = 2^{4} + 30 \)
\(47 = 20 + 3 + 4 !\)
\(48 = \sqrt{2304 }\)
\(49 = 3^{2} + 40 \)
\(50 = 20 + 3! + 4 !\)
\(51 = ( 2^{4} + 0! ) \cdot 3 \)
\(52 = ( 30 - 4 ) \cdot 2 \)
\(53 = ( 0! + 3! )^{2} + 4 \)
\(54 = 20 + 34 \)
\(55 = 32 - 0! + 4 !\)
\(56 = 20 \cdot 3 - 4 \)
\(57 = 32 + 0! + 4 !\)
\(58 = 20 \cdot 3 - \sqrt{4 }\)
\(59 = 2^{3!} - 0! - 4 \)
\(60 = \frac{ 30 }{ 2 } \cdot 4 \)
\(61 = 3^{4} - 20 \)
\(62 = 20 \cdot 3 + \sqrt{4 }\)
\(63 = 20 + 43 \)
\(64 = 20 \cdot 3 + 4 \)
\(65 = 2^{0} + 4^{3 }\)
\(66 = ( 20 + \sqrt{4} ) \cdot 3 \)
\(67 = \frac{ 402 }{ 3 ! }\)
\(68 = \frac{ 204 }{ 3 }\)
\(69 = ( 4 - 0! ) \cdot 23 \)
\(70 = \frac{ 420 }{ 3 ! }\)
\(71 = 24 \cdot 3 - 0 !\)
\(72 = 30 + 42 \)
\(73 = 24 \cdot 3 + 0 !\)
\(74 = ( 40 - 3 ) \cdot 2 \)
\(75 = ( 24 + 0! ) \cdot 3 \)
\(76 = 3!^{2} + 40 \)
\(77 = 20 \cdot 4 - 3 \)
\(78 = 2 \cdot 4! + 30 \)
\(79 = ( 0 + 3 )^{4} - 2 \)
\(80 = \frac{ 240 }{ 3 }\)
\(81 = 3^{\sqrt{20 - 4 }}\)
\(82 = 2^{0} + 3^{4 }\)
\(83 = 20 \cdot 4 + 3 \)
\(84 = 4^{3} + 20 \)
\(85 = 43 \cdot 2 - 0 !\)
\(86 = ( 40 + 3 ) \cdot 2 \)
\(87 = 43 \cdot 2 + 0 !\)
\(88 = ( 23 - 0! ) \cdot 4 \)
\(89 = 2^{3!} + 0! + 4 !\)
\(90 = \frac{ \frac{ 3!! }{ 0 + 2 } }{ 4 }\)
\(91 = 23 \cdot 4 - 0 !\)
\(92 = ( 20 + 3 ) \cdot 4 \)
\(93 = 23 \cdot 4 + 0 !\)
\(94 = \sqrt{\sqrt{2^{4!}}} + 30 \)
\(95 = 2^{4} \cdot 3! - 0 !\)
\(96 = ( 20 - 4 ) \cdot 3 !\)
\(97 = ( 0! + 4 )! - 23 \)
\(98 = ( 0! + 3 ) \cdot 4! + 2 \)
\(99 = ( 3! + 4 )^{2} - 0 !\)
\(100 = ( 3 + \sqrt{4} ) \cdot 20 \)