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Solutions

Let's check each option,
1) − × ÷ +
→ 17 - 7 × 12 ÷ 6 + 2 = 119
→ 17 - 7 × 2 + 2 = 119
→ 17 - 14 + 2 = 119
→ 19 - 14 ≠ 119
→ LHS ≠ RHS
2) + × − ÷
→ 17 + 7 × 12 - 6 ÷ 2 = 119
→ 17 + 7 × 12 - 3 = 119
→ 17 + 84 - 3 = 119
→ 101 ≠ 119
→ LHS ≠ RHS
3) × − ÷ +
→ 17 × 7 - 12 ÷ 6 + 2 = 119
→ 17 × 7 - 2 + 2 = 119
→ 119 - 2 + 2 = 119
→ 121 - 2 = 119
→ 119 = 119
→ LHS = RHS ⇒ Satisfies the logic.
4) + ÷ × −
→ 17 + 7 ÷ 12 × 6 - 2 = 119
→ 17 + 7/12 × 6 - 2 = 119
→ 17 + 7/2 - 2 = 119
→ 41/2 - 2 = 119
→ 37/2 ≠ 119
→ LHS ≠ RHS
Here, we can see that only Option 3 satisfies the logic.
Hence, the correct answer is "× − ÷ +".