The largest 4 digit and smallest 4 digit numbers formed by using the digits 4, 0, 3, 7 each only once respectively are: (i) 4370, 4037 (ii) 3740, 3047 (iii) 7403, 3704 (iv) 7430, 3047

By Shivank Goel|Updated : August 5th, 2022

As we know that

The largest and smallest four-digit numbers are 1000 (one thousand) and 9999 (nine thousand nine hundred and ninety-nine).

Let us determine the largest and smallest 4-digit numbers using the given digits.

First, let us form the largest 4-digit number using 4, 0, 3, 7

Formation of the largest 4-digit number using the given digits

To determine the largest number, arrange the digits in descending order

7 > 4 > 3 > 0

This sequence forms the number 7430, which is the largest 4-digit number.

Formation of the smallest 4-digit number using the given digits

To determine the smallest number, arrange the digits in ascending order

0 < 3 < 4 < 7

This sequence forms the number 0347, which is the smallest 3-digit number

Let us change 0 by the next number in the sequence

3047 is the required smallest 4-digit number

Therefore, the largest 4-digit and smallest 4-digit numbers formed by using the digits 4, 0, 3, and 7 each only once, respectively, are 7430, 3047.

Summary:

(iv) 7430, 3047

The largest 4-digit and smallest 4-digit numbers formed by using the digits 4, 0, 3, 7 each only once respectively are 7430, 3047.

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