0

Using 4 digits to include zero, what are all the possible combinations of numbers 0, 1, and 2. Including all the possibilities starting with zero. like 0001, 0002, 0003, etc

ray
  • 11
  • 1
    Please edit to include your efforts. If $4$ digits is too hard to start with, try $1$ digit. Then $2$ digits. And so on. – lulu May 27 '22 at 21:54
  • 3
    How did you make "$0003$" using "numbers $0$, $1$, and $2$"? – peterwhy May 27 '22 at 21:54
  • If you follow lulu's advice to try small examples by hand, you'll discover for yourself the multiplication principle, which makes problems like this very easy. – Karl May 27 '22 at 22:01
  • I didn't mean to go to 0003, I just wanted to show that numbers can repeat. And that the series could start with zero. – ray May 27 '22 at 22:17
  • Just out of curiosity, how many such $4$-digit numbers are constructible, if the digits in ${0,1,2,3,4,5,6,7,8,9}$ are permitted, instead of only permitting the digits in ${0,1,2}$? Further, are you familiar with base-3 numbers? What is the largest number that can be expressed in base-3 with $4$ or less base-3 digits? – user2661923 May 27 '22 at 22:48
  • appreciate the help. thanks. no further comments are needed. – ray May 27 '22 at 23:23

0 Answers0