Question

Question 172

Make the greatest and smallest 5 digit numbers using different digits without repetition, in which 5 appears at ten's place.

Answer 1

According to the question, 5 must appear at ten's place.

Now, for the greatest number, digits (0-9) should be arranged in descending order, i.e. 9,8,7,6,5,4,3,2,1,0.

The greatest number of 5 digits = 98756

and for the smallest numbers, digits (0.9) should be arranged in ascending order, i.e. 0,1,2,3,4,5,6,7,8,9.
Since zero cannot be the first digit, as it would make a 4 digit number, it is used in the second place.

The required smallest number of 5 digits = 10253