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Question

Write the smallest 4-digit number that can be formed by the digits 0,1,3 and 6, using each digit only once.


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Solution

Here we have to form the smallest 4-digit number using digits 0,1,3 and 6, using each digit only once

Here ascending order of digits are 0<1<3<6

We know that for a number to be the smallest, smaller digits must be at higher places in the place value table

A number can not start with the digit 0

So it must start with 1

Let's fill the digits in place value table such that the number must be the smallest

Thousands

Hundreds

Tens

Ones

1

0

3

6

Hence the smallest 4-digit number that can be formed by the digits 0,1,3 and 6, using each digit only once is 1,036


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