Simplify : \(72 \div \left[ \frac{4}{2} \times \left\{ 9 + 2 - \left( 4 + 7 - \left( 1 + 8 \right) \right) \right\} \right] \)

Given:

\(72 \div \left[ \frac{4}{2} \times \left\{ 9 + 2 - \left( 4 + 7 - \left( 1 + 8 \right) \right) \right\} \right] \)

Formula used:

Follow BODMAS: Brackets → Orders → Division → Multiplication → Addition → Subtraction

Calculation:

\(72 \div \left[ \frac{4}{2} \times \left\{ 9 + 2 - \left( 4 + 7 - \left( 1 + 8 \right) \right) \right\} \right] \)

⇒ \((72 \div \left[ 2 \times \left\{ 9 + 2 - (4 + 7 - 9) \right\} \right] )\)

⇒ \((72 \div \left[ 2 \times \left\{ 9 + 2 - (11 - 9) \right\} \right] )\)

⇒ \((72 \div \left[ 2 \times \left\{ 9 + 2 - 2 \right\} \right] )\)

⇒ \((72 \div \left[ 2 \times 9 \right] )\)

⇒ \((72 \div 18)\)

⇒ 4

∴ The correct answer is 4.