（ただし１と２を合せて１２のような使い方は出来ません。）
54個の解法が見つかりました。
((4×6)-(7+7))=10
((4+(6+7))-7)=10
((4+6)×(7÷7))=10
((4+6)+(7-7))=10
((4+6)-(7-7))=10
((4+6)÷(7÷7))=10
((4+7)+(6-7))=10
((4+7)-(7-6))=10
((4-7)+(6+7))=10
((6+(4+7))-7)=10
((6+7)+(4-7))=10
((6+7)-(7-4))=10
((6-7)+(4+7))=10
((7×(4+6))÷7)=10
((7+(4+6))-7)=10
((7-7)+(4+6))=10
((7÷7)×(4+6))=10
(4+((6×7)÷7))=10
(4+((6+7)-7))=10
(4+(6×(7÷7)))=10
(4+(6+(7-7)))=10
(4+(6-(7-7)))=10
(4+(6÷(7÷7)))=10
(4+(7×(6÷7)))=10
(4+(7+(6-7)))=10
(4+(7-(7-6)))=10
(4+(7÷(7÷6)))=10
(4-((7-6)-7))=10
(4-((7-7)-6))=10
(4-(7-(6+7)))=10
(6+((4×7)÷7))=10
(6+((4+7)-7))=10
(6+(4×(7÷7)))=10
(6+(4+(7-7)))=10
(6+(4-(7-7)))=10
(6+(4÷(7÷7)))=10
(6+(7×(4÷7)))=10
(6+(7+(4-7)))=10
(6+(7-(7-4)))=10
(6+(7÷(7÷4)))=10
(6-((7-4)-7))=10
(6-((7-7)-4))=10
(6-(7-(4+7)))=10
(7×((4+6)÷7))=10
(7+((4+6)-7))=10
(7+(4+(6-7)))=10
(7+(4-(7-6)))=10
(7+(6+(4-7)))=10
(7+(6-(7-4)))=10
(7-((7-4)-6))=10
(7-((7-6)-4))=10
(7-(7-(4+6)))=10
(7÷(7÷(4+6)))=10