Question

The smallest 5 digit number formed by using the digits 3, 0,1 repetation of digits allowed is 1. 10003 2. 10013 3. 13000 4.00013

Answer 1

Answer:

smallest no shoul have 1 at the ist place

(if u put 0 at the first place then it will become 4 digit no. like this 01103)

smallest no. is 10003

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Answer 2

Given : digits 3,0,1    

number formed by using the digits 3,0,1 (Repetition  allowed)​

All digits to be used

To find : smallest 5-digit number

Solution:

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

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

Also in given option

1. 10003 2. 10013 3. 13000 4.00013

00013 is smallest but not 5 digit number

Smallest 5 digit number 10003

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