Question

What is the difference between the largest and the smallest 3-digit numbers that can be formed from the digits 4, 8 and 7?

• A. 397
• B. 306
• C. 396
• D. 387

Answer 1

The correct option is C 396

To find the greatest 3-digit number from the given digits, we arrange the digits in descending order.

To find the smallest 3-digit number from the given digits, we arrange the digits in ascending order.

Since $4<7<8$ or $8>7>4,$ we have the largest and smallest numbers from the digits to be $874$ and $478$ respectively.

$\begin{array}{ccc}\text{Hundreds}& \text{Tens}& \text{Ones}\\ 4& 7& 8\\ 8& 7& 4\end{array}$

Difference $=874-478=396$