Question

The smallest 4-digit number having three different digits is
(A) 1102 (B) 1012 (C) 1020 (D) 1002

Answer 1

1002 is The smallest 4-digit number having three different digits

Step-by-step explanation:

The smallest 4-digit number having three different digits

1st lets identify 3 Smallest Digit

0 , 1  , 2  

4Digit number  ( hence one digit will  be used twice)

A 4 Digit number will  have  1000 , 100 , 10  , 1  Place

First Left most Digit ( 1000 place should be smallest)

but it can not be zero as then number will remain 3 Digit only

so

1000  place would be 1

Now for 100 Place smallest Digit 0 can be used

now for 10 place smallest Digit  0 can be used   ( as we can use one digit twice)

Now we left with digit 2   and units place

so 2 will be at units place

so number  = 1002  is the   smallest 4-digit number having three different digits

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