All 100 targets have a solution.
\(1 = 43 - 42 \)
\(2 = \frac{ \frac{ 24 }{ 3 } }{ 4 }\)
\(3 = \frac{ 24 }{ 4 } - 3 \)
\(4 = \frac{ 24 }{ 3 } - 4 \)
\(5 = 4! - 23 + 4 \)
\(6 = 4! - \sqrt{324 }\)
\(7 = 23 - 4 \cdot 4 \)
\(8 = 42 - 34 \)
\(9 = \sqrt{\frac{ 324 }{ 4 }}\)
\(10 = 34 - 24 \)
\(11 = \frac{ 42 }{ 3! } + 4 \)
\(12 = 44 - 32 \)
\(13 = \frac{ 34 }{ 2 } - 4 \)
\(14 = \sqrt{324} - 4 \)
\(15 = 23 - 4 - 4 \)
\(16 = 32 - 4 \cdot 4 \)
\(17 = 24 - 3 - 4 \)
\(18 = \frac{ 432 }{ 4 ! }\)
\(19 = 43 - 24 \)
\(20 = \sqrt{324} + \sqrt{4 }\)
\(21 = 44 - 23 \)
\(22 = \sqrt{324} + 4 \)
\(23 = 23 - 4 + 4 \)
\(24 = \frac{ 4 }{ 4 } + 23 \)
\(25 = 24 - 3 + 4 \)
\(26 = 34 - 2 \cdot 4 \)
\(27 = 43 - 2^{4 }\)
\(28 = 34 - 2 - 4 \)
\(29 = 23 + \sqrt{4} + 4 \)
\(30 = 42 - 3 \cdot 4 \)
\(31 = 23 + 4 + 4 \)
\(32 = \frac{ 24 }{ 3 } \cdot 4 \)
\(33 = \frac{ 4 }{ 4 } + 32 \)
\(34 = 24 + 3! + 4 \)
\(35 = 42 - 3 - 4 \)
\(36 = \sqrt{324 \cdot 4 }\)
\(37 = 43 - 2 - 4 \)
\(38 = 44 - 2 \cdot 3 \)
\(39 = 4 \cdot 4 + 23 \)
\(40 = 4^{3} - 24 \)
\(41 = 42 + 3 - 4 \)
\(42 = 2 \cdot 4 + 34 \)
\(43 = 42 - 3 + 4 \)
\(44 = ( 3 - 2 ) \cdot 44 \)
\(45 = 43 - 2 + 4 \)
\(46 = \frac{ 23 \cdot 4 }{ \sqrt{4 } }\)
\(47 = 42 + 3 + \sqrt{4 }\)
\(48 = 4 \cdot 4 + 32 \)
\(49 = 42 + 3 + 4 \)
\(50 = 2^{4} + 34 \)
\(51 = 2 \cdot 4 + 43 \)
\(52 = 2^{3} + 44 \)
\(53 = 3^{2} + 44 \)
\(54 = 3 \cdot 4 + 42 \)
\(55 = \frac{ 4! }{ 2 } + 43 \)
\(56 = \frac{ 42 }{ 3 } \cdot 4 \)
\(57 = 3^{4} - 24 \)
\(58 = 24 + 34 \)
\(59 = 2^{4} + 43 \)
\(60 = ( 24 - 4 ) \cdot 3 \)
\(61 = 2^{4} \cdot 4 - 3 \)
\(62 = 43 \cdot 2 - 4 !\)
\(63 = 42 - 3 + 4 !\)
\(64 = 34 \cdot 2 - 4 \)
\(65 = 43 - 2 + 4 !\)
\(66 = \frac{ 44 }{ 2 } \cdot 3 \)
\(67 = 23 + 44 \)
\(68 = 24 \cdot 3 - 4 \)
\(69 = 42 + 3 + 4 !\)
\(70 = 24 \cdot 3 - \sqrt{4 }\)
\(71 = 23 + 4! + 4 !\)
\(72 = \sqrt{324} \cdot 4 \)
\(73 = 4 \cdot 4! - 23 \)
\(74 = 24 \cdot 3 + \sqrt{4 }\)
\(75 = 3^{4} - 2 - 4 \)
\(76 = 32 + 44 \)
\(77 = 3^{4} - 2 - \sqrt{4 }\)
\(78 = ( 43 - 4 ) \cdot 2 \)
\(79 = 3^{4} + 2 - 4 \)
\(80 = 3!^{2} + 44 \)
\(81 = \frac{ 324 }{ 4 }\)
\(82 = 43 \cdot 2 - 4 \)
\(83 = 3^{4} - 2 + 4 \)
\(84 = ( 24 - 3 ) \cdot 4 \)
\(85 = 42 + 43 \)
\(86 = \frac{ 43 \cdot 4 }{ 2 }\)
\(87 = 42 \cdot \sqrt{4} + 3 \)
\(88 = 23 \cdot 4 - 4 \)
\(89 = 2 \cdot 4 + 3^{4 }\)
\(90 = 43 \cdot 2 + 4 \)
\(91 = 44 \cdot 2 + 3 \)
\(92 = \sqrt{4 \cdot 4} \cdot 23 \)
\(93 = 24 \cdot 4 - 3 \)
\(94 = ( 43 + 4 ) \cdot 2 \)
\(95 = 4 \cdot 4! + 2 - 3 \)
\(96 = 23 \cdot 4 + 4 \)
\(97 = 2^{4} + 3^{4 }\)
\(98 = ( 3 + 4 )^{2} \cdot \sqrt{4 }\)
\(99 = 24 \cdot 4 + 3 \)
\(100 = ( 23 + \sqrt{4} ) \cdot 4 \)