Question

WRite the set of all three digit numbers sum of whose digits less than 3..

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Answer 1

Given : three digit numbers sum of whose digits less than 3..

To Find :   set  of all possible numbers

Solution:

sum of  digits less than 3

Hence possible number can have digits 0 , 1 or 2

Three digit number , 1st Digit can be

1   or  2

if 1st Digit is 2  

Then all other digits has to be 0  so that sum of digits  is less than 3  

200  is one possible number

if 1st digit is 1  

then remaining two digits can be 00  or 0 & 1  so that sum of digits is less than 3  

Possible numbers

100

101

110

Set of all three digit numbers sum of whose digits less than 3

= { 100 , 101  , 110  , 200 }

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