Final answer:
According to the junction rule which is based on the conservation of charge, the combined current exiting the other two wires at the junction would be 17 A (10 A + 7 A).
Step-by-step explanation:
Kirchhoff's first rule, also known as the junction rule, is an application of the conservation of charge. It states that the sum of currents entering a junction must equal the sum of currents leaving the junction. If two wires are bringing in currents of 10 A and 7 A respectively into a junction with 4 wires, then the combined current coming out of the other two wires would be 10 A + 7 A = 17 A. Therefore, the correct answer is C) 17 A.