All 100 targets have a solution.
\(1 = ( 245 \cdot 0 )!\)
\(2 = \frac{ 240 }{ 5 ! }\)
\(3 = 4 - 25^{0 }\)
\(4 = 5 - 24^{0 }\)
\(5 = \sqrt{45 - 20 }\)
\(6 = 24^{0} + 5 \)
\(7 = \frac{ 42 }{ 0! + 5 }\)
\(8 = 50 - 42 \)
\(9 = \sqrt{20 - 4} + 5 \)
\(10 = \frac{ 20 }{ 4 } + 5 \)
\(11 = 20 - 4 - 5 \)
\(12 = 52 - 40 \)
\(13 = \frac{ 50 + 2 }{ 4 }\)
\(14 = \sqrt{20 \cdot 5} + 4 \)
\(15 = 40 - 25 \)
\(16 = \frac{ 20 \cdot 4 }{ 5 }\)
\(17 = 20 + \sqrt{4} - 5 \)
\(18 = \sqrt{204 + 5 !}\)
\(19 = 20 + 4 - 5 \)
\(20 = ( 5 - 4 ) \cdot 20 \)
\(21 = 20 - 4 + 5 \)
\(22 = 25 + 0! - 4 \)
\(23 = 24 - 5^{0 }\)
\(24 = 0 \cdot 5 + 24 \)
\(25 = 45 - 20 \)
\(26 = 50 - 24 \)
\(27 = \frac{ 50 + 4 }{ 2 }\)
\(28 = \frac{ 20 }{ 5 } + 4 !\)
\(29 = 20 + 4 + 5 \)
\(30 = \sqrt{450 \cdot 2 }\)
\(31 = 2^{5} - 4^{0 }\)
\(32 = ( 4 - ( 0 + 2 ) )^{5 }\)
\(33 = 40 - 2 - 5 \)
\(34 = 54 - 20 \)
\(35 = 40 - \sqrt{25 }\)
\(36 = 42 - 0! - 5 \)
\(37 = 40 + 2 - 5 \)
\(38 = 42 + 0! - 5 \)
\(39 = 20 + 4! - 5 \)
\(40 = 4 \cdot 5 + 20 \)
\(41 = 42 - 5^{0 }\)
\(42 = 0 \cdot 5 + 42 \)
\(43 = 40 - 2 + 5 \)
\(44 = 45 - 2^{0 }\)
\(45 = \sqrt{25} + 40 \)
\(46 = 2^{0} + 45 \)
\(47 = 40 + 2 + 5 \)
\(48 = \frac{ 240 }{ 5 }\)
\(49 = 20 + 4! + 5 \)
\(50 = 2 \cdot 5 + 40 \)
\(51 = 52 - 4^{0 }\)
\(52 = 50 - 2 + 4 \)
\(53 = 4^{0} + 52 \)
\(54 = 0 \cdot 2 + 54 \)
\(55 = 2^{0} + 54 \)
\(56 = 50 + 2 + 4 \)
\(57 = 52 + 0! + 4 \)
\(58 = 2 \cdot 4 + 50 \)
\(59 = 4^{0! + 2} - 5 \)
\(60 = ( 20 - 5 ) \cdot 4 \)
\(61 = 4^{0} + \frac{ 5! }{ 2 }\)
\(62 = \frac{ 4! }{ 2 } + 50 \)
\(63 = 4^{5 - 2} - 0 !\)
\(64 = ( \frac{ 40 }{ 5 } )^{2 }\)
\(65 = 20 + 45 \)
\(66 = 2^{4} + 50 \)
\(67 = ( 0! + 2 ) \cdot 4! - 5 \)
\(68 = ( 0! + 4 )! - 52 \)
\(69 = 4^{0! + 2} + 5 \)
\(70 = ( 40 - 5 ) \cdot 2 \)
\(71 = \sqrt{42 \cdot 5! + 0 !}\)
\(72 = 2^{5} + 40 \)
\(73 = ( 5 - 2 ) \cdot 4! + 0 !\)
\(74 = 20 + 54 \)
\(75 = 20 \cdot 4 - 5 \)
\(76 = 20 \cdot 5 - 4 !\)
\(77 = 5! - ( 42 + 0 ! )\)
\(78 = 5! - ( 40 + 2 )\)
\(79 = 5! - ( 42 - 0 ! )\)
\(80 = ( 20 - 4 ) \cdot 5 \)
\(81 = ( 5 - ( 0 + 2 ) )^{4 }\)
\(82 = 5! - ( 40 - 2 )\)
\(83 = \frac{ 5! }{ 2 } - 0! + 4 !\)
\(84 = \frac{ 420 }{ 5 }\)
\(85 = 20 \cdot 4 + 5 \)
\(86 = ( 0! + 2 )^{4} + 5 \)
\(87 = ( 0! + 2 ) \cdot ( 4! + 5 )\)
\(88 = ( 45 - 0! ) \cdot 2 \)
\(89 = 45 \cdot 2 - 0 !\)
\(90 = ( 40 + 5 ) \cdot 2 \)
\(91 = 45 \cdot 2 + 0 !\)
\(92 = 40 + 52 \)
\(93 = 5! - ( 0! + 2 + 4 ! )\)
\(94 = 5! - ( 0 + 2 + 4 ! )\)
\(95 = 5! - ( 24 + 0 ! )\)
\(96 = 20 \cdot 5 - 4 \)
\(97 = 5! - ( 24 - 0 ! )\)
\(98 = 20 \cdot 5 - \sqrt{4 }\)
\(99 = 25 \cdot 4 - 0 !\)
\(100 = ( 20 + 5 ) \cdot 4 \)