Question

Find the product of the greatest and the smallest three - digits number formed with the digits 6, 3 and 8.

Answer 1

Hint: If we are given three different numbers from which we have to find the smallest number and the largest number which can be formed with these digits, then to form the largest number, we will arrange these numbers in descending order and to form the smallest number, we will arrange these numbers in ascending order. Using this concept, we can solve this question.

“Complete step-by-step answer:”
Before proceeding with the question, we must know the concept that will be required to solve this question.
If we are given three different numbers and we are required to form the largest number from these three numbers, then we will arrange the three numbers in descending order. Similarly, if we are required to form the smallest number from these three digits, then we will arrange the three numbers in ascending order.
In this question, we are given three numbers 6, 3 and 8. We are required to find the product of the smallest and the largest three - digit numbers.
Using the above concept, the largest number that can be formed using 6,3 and 8 is 863 and the smallest number is 368.
The product of these two numbers is equal to $368\times 863=317584$.
Hence, the answer is 317584.

Note: There is a possibility that one may forget to find the product of the two numbers in a hurry to solve this question. It is possible that one may write only the smallest and the largest number in the answer and not the product of these two numbers.