All 100 targets have a solution.
\(1 = ( 247 \cdot 0 )!\)
\(2 = 7 - \frac{ 20 }{ 4 }\)
\(3 = 4 - 27^{0 }\)
\(4 = 27 \cdot 0 + 4 \)
\(5 = 27^{0} + 4 \)
\(6 = 7 - 24^{0 }\)
\(7 = 24 \cdot 0 + 7 \)
\(8 = 4 \cdot 7 - 20 \)
\(9 = 20 - 4 - 7 \)
\(10 = 4 - 2^{0} + 7 \)
\(11 = \sqrt{20 - 4} + 7 \)
\(12 = \frac{ 7! }{ 420 }\)
\(13 = 40 - 27 \)
\(14 = 20 - ( 7 - 4 )!\)
\(15 = 20 + \sqrt{4} - 7 \)
\(16 = 24 - 0! - 7 \)
\(17 = 20 + 4 - 7 \)
\(18 = \frac{ 70 + 2 }{ 4 }\)
\(19 = \frac{ 72 }{ 4 } + 0 !\)
\(20 = ( 7 - ( 0 + 2 ) ) \cdot 4 \)
\(21 = \frac{ 7! }{ 240 }\)
\(22 = 27 - 0! - 4 \)
\(23 = 20 - 4 + 7 \)
\(24 = 0 \cdot 7 + 24 \)
\(25 = 7^{0} + 24 \)
\(26 = 27 - 4^{0 }\)
\(27 = 47 - 20 \)
\(28 = 70 - 42 \)
\(29 = 20 + \sqrt{4} + 7 \)
\(30 = \frac{ 720 }{ 4 ! }\)
\(31 = 20 + 4 + 7 \)
\(32 = 72 - 40 \)
\(33 = \frac{ 70 - 4 }{ 2 }\)
\(34 = \sqrt{4} \cdot 7 + 20 \)
\(35 = \frac{ 20 }{ 4 } \cdot 7 \)
\(36 = 42 + 0! - 7 \)
\(37 = \frac{ 70 + 4 }{ 2 }\)
\(38 = \frac{ 74 }{ 2 } + 0 !\)
\(39 = \frac{ 70 }{ 2 } + 4 \)
\(40 = ( 0! + 2 + 7 ) \cdot 4 \)
\(41 = 42 - 7^{0 }\)
\(42 = 0 \cdot 7 + 42 \)
\(43 = 7^{0} + 42 \)
\(44 = 47 - 0! - 2 \)
\(45 = 40 - 2 + 7 \)
\(46 = 70 - 24 \)
\(47 = 0 \cdot 2 + 47 \)
\(48 = 4 \cdot 7 + 20 \)
\(49 = 40 + 2 + 7 \)
\(50 = 42 + 0! + 7 \)
\(51 = 20 + 4! + 7 \)
\(52 = \sqrt{2704 }\)
\(53 = 7^{0 + 2} + 4 \)
\(54 = 74 - 20 \)
\(55 = 27 \cdot \sqrt{4} + 0 !\)
\(56 = ( 0 + 2 ) \cdot 4 \cdot 7 \)
\(57 = 4^{0! + 2} - 7 \)
\(58 = 70 - \frac{ 4! }{ 2 }\)
\(59 = \frac{ 70 }{ 2 } + 4 !\)
\(60 = \frac{ 420 }{ 7 }\)
\(61 = ( 4! + 7 ) \cdot 2 - 0 !\)
\(62 = 70 - 2 \cdot 4 \)
\(63 = \frac{ 7! }{ 20 \cdot 4 }\)
\(64 = 70 - 2 - 4 \)
\(65 = ( 0! + 2 ) \cdot 4! - 7 \)
\(66 = ( 40 - 7 ) \cdot 2 \)
\(67 = 20 + 47 \)
\(68 = 70 + 2 - 4 \)
\(69 = 7^{\sqrt{4}} + 20 \)
\(70 = \frac{ 20 }{ \sqrt{4} } \cdot 7 \)
\(71 = 72 - 4^{0 }\)
\(72 = 70 - 2 + 4 \)
\(73 = 20 \cdot 4 - 7 \)
\(74 = 0 \cdot 2 + 74 \)
\(75 = 2^{0} + 74 \)
\(76 = 70 + 2 + 4 \)
\(77 = 72 + 0! + 4 \)
\(78 = 2 \cdot 4 + 70 \)
\(79 = ( 0! + 2 ) \cdot 4! + 7 \)
\(80 = ( 7 - 2 )! - 40 \)
\(81 = ( 4 - 0! ) \cdot 27 \)
\(82 = \frac{ 4! }{ 2 } + 70 \)
\(83 = \frac{ 4! }{ 2 } \cdot 7 - 0 !\)
\(84 = \frac{ 4! }{ 0 + 2 } \cdot 7 \)
\(85 = \frac{ 4! }{ 2 } \cdot 7 + 0 !\)
\(86 = 2^{4} + 70 \)
\(87 = 20 \cdot 4 + 7 \)
\(88 = 2^{7} - 40 \)
\(89 = 7^{2} + 40 \)
\(90 = \frac{ \frac{ ( 7 - 0! )! }{ 2 } }{ 4 }\)
\(91 = ( \frac{ 4! }{ 2 } + 0! ) \cdot 7 \)
\(92 = ( 47 - 0! ) \cdot 2 \)
\(93 = 47 \cdot 2 - 0 !\)
\(94 = 20 + 74 \)
\(95 = 47 \cdot 2 + 0 !\)
\(96 = ( 47 + 0! ) \cdot 2 \)
\(97 = 72 + 0! + 4 !\)
\(98 = 7^{0 + 2} \cdot \sqrt{4 }\)
\(99 = 7^{2} \cdot \sqrt{4} + 0 !\)
\(100 = ( 7 - \sqrt{4} ) \cdot 20 \)