## the smallest 5-digit number formed by using the digits 3,0,1 (Repetition not allowed)​

Question

the smallest 5-digit number formed by using the digits 3,0,1 (Repetition not allowed)​

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3 weeks 2021-08-20T04:30:24+00:00 2 Answers 0 views 0

1. Given : digits 3,0,1

number formed by using the digits 3,0,1 (Repetition not allowed)​

To find : smallest 5-digit number

Solution:

Given digits are 3  ( 3 , 0 & 1)

Repetition of digits not allowed

Hence maximum 3 digit number can be formed

Hence 5 digit number is not possible

Assuming Repetition of digits allowed

arrange 3 , 0  , 1 in increasing order

0 , 1 , 3

1st digit can be zero

Hence 1st digit  = 1

Then all other digits 0

Hence 10000 is smallest 5-digit number formed by using the digits 3,0,1 (Repetition  allowed)​

Considering another case

Assuming Repetition of digits allowed and all digits have to be used

arrange 3 , 0  , 1 in increasing order

0 , 1 , 3

1st digit can be zero

Hence 1st digit  = 1

Then all other digits 0 and last digit 3

Hence 10003 is smallest 5-digit number formed by using the digits 3,0,1 (Repetition  allowed)​ using all the digits