Page 103 - New Medley 3 Semester 1

Example 13: Write the largest and the smallest number using each
of the digits 4, 1, 6 and 5 exactly once.

Solution: We have the digits 4, 1, 6, 5.

First we will write the largest number.

Let us arrange the digits in decreasing order: 6, 5, 4 and 1

The required number is 6541.

Now let us write the smallest number.

Let us arrange the digits in increasing order: 1, 4, 5 and 6

The required number is 1456.

Ascending and Descending Order

Ascending order or increasing order → from smallest to greatest

Example 14: Arrange 8621, 3452 and 2814 in ascending order.

Solution: First we consider the digits in thousand’s place.

As 2 thousands < 3 thousands < 8 thousands Th H T O
∴ 2814 < 3452 < 8621 8 6 2 1

3 4 5 2
Numbers in ascending order are 2814,
3452, 8621 2 8 1 4

Descending order or decreasing order → from greatest to smallest

Example 15: Arrange 8531, 7483 and 3814 in descending order.

Solution: First we consider the digits in thousand’s place.

As 8 thousands > 7 thousands > 3 thousands
Th H T O
∴ 8531 > 7483 > 3814 8 5 3 1

Numbers in descending order are 8531, 7 4 8 3

7483, 3814
3 8 1 4

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