All answers must contain the string
2023:
1. What is the smallest number written exactly with 7 digits?
2. What is the smallest integer using 11 digits i.e. all digits 0 to 9 and an extra digit 2?
3. Write down the smallest square s.t. each digit is present at least once.
4. Evaluate the quadruplet {a,b,c,d} of distinct non-negative integers, s.t. a*b+c+d=2023 and abcd is minimal.
The 1st solver is kindly requested to post at least 2 answers out of the set of four.
(In reply to
"Repaired" Official solution (spoiler) by Steve Herman)
Steve et al
Thre is no way I can adjust my posted solution
Your 1 and 2. Remarks are correct and should be considered as part of the rectified solution
My 3 and 4 are OK
0 was introduced on purpose to find out how fast it will be discovered, call it red herring and complement yourself as a vigilant solver.
My mistakes, for which I sincerely apologize, were caused by the late late hour of posting with no rigorous control.