All 100 targets have a solution.
\(1 = ( 7 - 6 )^{24 }\)
\(2 = 4 \cdot 7 - 26 \)
\(3 = 7 - \frac{ 24 }{ 6 }\)
\(4 = 724 - 6 !\)
\(5 = \sqrt{67 - 42 }\)
\(6 = ( 7 - \frac{ 24 }{ 6 } )!\)
\(7 = \sqrt{\frac{ 42 }{ 6 } \cdot 7 }\)
\(8 = 72 - 64 \)
\(9 = \frac{ 72 }{ \sqrt{64 } }\)
\(10 = \sqrt{24 + 76 }\)
\(11 = \frac{ 24 }{ 6 } + 7 \)
\(12 = 74 - 62 \)
\(13 = \sqrt{42 - 6} + 7 \)
\(14 = \frac{ 42 }{ 6 } + 7 \)
\(15 = 62 - 47 \)
\(16 = \frac{ 46 }{ 2 } - 7 \)
\(17 = 27 - 4 - 6 \)
\(18 = 6 \cdot 7 - 24 \)
\(19 = 46 - 27 \)
\(20 = \frac{ 26 }{ \sqrt{4} } + 7 \)
\(21 = 47 - 26 \)
\(22 = 742 - 6 !\)
\(23 = 24 + 6 - 7 \)
\(24 = ( 7 - 6 ) \cdot 24 \)
\(25 = 67 - 42 \)
\(26 = 72 - 46 \)
\(27 = \sqrt{27^{6 - 4 }}\)
\(28 = \frac{ 672 }{ 4 ! }\)
\(29 = 26 - 4 + 7 \)
\(30 = \frac{ 46 }{ 2 } + 7 \)
\(31 = \frac{ 74 }{ 2 } - 6 \)
\(32 = 46 - 2 \cdot 7 \)
\(33 = \frac{ 72 - 6 }{ \sqrt{4 } }\)
\(34 = 76 - 42 \)
\(35 = 27 + \sqrt{64 }\)
\(36 = \frac{ 42 \cdot 6 }{ 7 }\)
\(37 = 64 - 27 \)
\(38 = 74 - 6^{2 }\)
\(39 = 47 - 2 - 6 \)
\(40 = \frac{ 74 + 6 }{ 2 }\)
\(41 = 42 + 6 - 7 \)
\(42 = ( 7 - 6 ) \cdot 42 \)
\(43 = 67 - 24 \)
\(44 = 47 - \frac{ 6 }{ 2 }\)
\(45 = 26 \cdot \sqrt{4} - 7 \)
\(46 = ( \frac{ 6 }{ 2 } )! \cdot 7 + 4 \)
\(47 = 6^{2} + 4 + 7 \)
\(48 = 74 - 26 \)
\(49 = \frac{ 42 }{ 6 } \cdot 7 \)
\(50 = \frac{ 6 }{ 2 } + 47 \)
\(51 = 4 \cdot 6 + 27 \)
\(52 = 76 - 24 \)
\(53 = \sqrt{46^{2}} + 7 \)
\(54 = 4 \cdot 7 + 26 \)
\(55 = 42 + 6 + 7 \)
\(56 = 62 - ( 7 - 4 )!\)
\(57 = 26 + 4! + 7 \)
\(58 = \sqrt{64} \cdot 7 + 2 \)
\(59 = 2 \cdot 6 + 47 \)
\(60 = 2 \cdot 7 + 46 \)
\(61 = 67 - 2 - 4 \)
\(62 = 72 - 4 - 6 \)
\(63 = 6^{\sqrt{4}} + 27 \)
\(64 = 72 - \sqrt{64 }\)
\(65 = 62 - 4 + 7 \)
\(66 = \frac{ 462 }{ 7 }\)
\(67 = 62 - \sqrt{4} + 7 \)
\(68 = 76 - 2 \cdot 4 \)
\(69 = \frac{ 276 }{ 4 }\)
\(70 = 72 + 4 - 6 \)
\(71 = 74 - \frac{ 6 }{ 2 }\)
\(72 = ( 2 + 7 ) \cdot \sqrt{64 }\)
\(73 = 26 + 47 \)
\(74 = 72 - 4 + 6 \)
\(75 = 2 \cdot 4 + 67 \)
\(76 = ( 26 - 7 ) \cdot 4 \)
\(77 = \frac{ 6 }{ 2 } + 74 \)
\(78 = ( 7 - 4 ) \cdot 26 \)
\(79 = 62 + 4! - 7 \)
\(80 = \sqrt{64} + 72 \)
\(81 = \frac{ 27 \cdot 6 }{ \sqrt{4 } }\)
\(82 = \sqrt{6724 }\)
\(83 = 6^{2} + 47 \)
\(84 = ( 27 - 6 ) \cdot 4 \)
\(85 = 46 \cdot 2 - 7 \)
\(86 = 2 \cdot 6 + 74 \)
\(87 = \sqrt{2 + 7}^{4} + 6 \)
\(88 = 47 \cdot 2 - 6 \)
\(89 = 67 - 2 + 4 !\)
\(90 = 4 \cdot 7 + 62 \)
\(91 = 24 + 67 \)
\(92 = 2^{4} + 76 \)
\(93 = 62 + 4! + 7 \)
\(94 = \sqrt{6 - 2} \cdot 47 \)
\(95 = 7^{2} + 46 \)
\(96 = 4 \cdot 6 + 72 \)
\(97 = 26 \cdot 4 - 7 \)
\(98 = ( 6 - 2 )! + 74 \)
\(99 = 46 \cdot 2 + 7 \)
\(100 = 24 + 76 \)