Question

Consider the set A = {x : x ∈ N and sum of digits in x is same as the number of digits in x.} . Check whether the set A is finite or not?​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

{1, 11, 20, 102, 111, 120, 201,........}

sorry if I missed any no. in it.

Step-by-step explanation:

I think it's like

set of no. with sum of digits = no. of digit

1------>  0+1= 1 (sum of digit)   ==1    (no. of digit)

11---->    1+1= 2 (sum of digit)   == 2 (no. of digit)

20--->   2+0= 2                       == 2

102-->   1+0+2= 3                    == 3    

111--->   1+1+1= 3                       == 3

120-->   1+2+0= 3                    == 3

201-->   2+0+1=  3                   == 3

etc.

In the question there is no specific no. so it continues...

so it maybe INFINITE SET ‍♀️‍♀️.