BODMAS Rule:
The given equation is:
17 + (22 ÷ 11) – (88 × 2) – 23 = 30
1) Interchange 11 and 2, ÷ and ×
New Equation: 17 + (22 × 2) – (88 ÷ 11) – 23 = ?
⇒ 17 + (22 × 2) – (88 ÷ 11) – 23
⇒ 17 + 44 – 8 – 23
⇒ 61 – 8 – 23
⇒ 53 – 23
⇒ 30
30 = 30 (Correct)
2) Interchange 22 and 88, ÷ and ×
New Equation: 17 + (88 × 11) – (22 ÷ 2) – 23 = ?
⇒ 17 + (88 × 11) – (22 ÷ 2) – 23
⇒ 17 + 968 – 11 – 23
⇒ 985 – 11 – 23
⇒ 974 – 23
⇒ 951 ≠ 30 (Incorrect)
3) Interchange 11 and 2, + and ×
New Equation: 17 × (22 ÷ 2) – (88 + 11) – 23 = ?
⇒ 17 × (22 ÷ 2) – (88 + 11) – 23
⇒ 17 × 11 – 99 – 23
⇒ 187 – 99 – 23
⇒ 88 – 23
⇒ 65 ≠ 30 (Incorrect)
4) Interchange 22 and 88, + and ×
New Equation: 17 × (88 ÷ 11) – (22 + 2) – 23 = ?
⇒ 17 × (88 ÷ 11) – (22 + 2) – 23
⇒ 17 × 8 – 24 – 23
⇒ 136 – 24 – 23
⇒ 112 – 23
⇒ 89 ≠ 30 (Incorrect)
Hence, the correct answer is "Option 1".