254,736 views
36 votes
36 votes
How many 3 digit codes are possible that do not contain the number 3?

User Jack Casey
by
3.0k points

2 Answers

13 votes
13 votes

Answer:

729

Explanation:

Including 3, there are 10 digits, from 0 to 9.

If you exclude 3, then there are 9 digits.

Each code will have a first digit, a second digit, and a third digit.

Each of those three digits can be chosen from 9 different digits.

We use the counting principle, and we multiply the number of possible digits for each position in the code.

number of possible first digits * number of possible second digits * number of possible third digits =

= 9 * 9 * 9 = 729

Answer: 729

User Torourke
by
2.6k points
15 votes
15 votes
000....sorry if im wrong
User Jvanmetre
by
3.3k points
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