SOLUTION: If only the digits 0, 1, 3, 4, 5, 6, and 7 may be used, find the number of possible three-digit numbers that can be formed. The number of different three-digit numbers is

Algebra ->  Permutations -> SOLUTION: If only the digits 0, 1, 3, 4, 5, 6, and 7 may be used, find the number of possible three-digit numbers that can be formed. The number of different three-digit numbers is       Log On


   



Question 1175816: If only the digits 0, 1, 3, 4, 5, 6, and 7 may be used, find the number of possible three-digit numbers that can be formed.
The number of different three-digit numbers is

Found 2 solutions by greenestamps, Alan3354:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


There are 7 digits to choose from.

The first digit can be any of them except 0, so that's 6 choices.

Then any of the 7 digits can be chosen for each of the last two digits.

Total number of 3-digit numbers: 6*7*7 = 294.


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
7*7*7 = 343
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000 is a valid number unless specified otherwise.