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21 votes
21 votes
How many numbers between 1000 and 9999 have at least one 3?

User DaveQ
by
2.4k points

1 Answer

25 votes
25 votes

Answer:

2673

Explanation:

The expression 9cube×4 is counting some numbers like 0300, which are less than 1000. We can fix this as the first digit could be 3, which gives us 9cube possibilities.

The second, third, and fourth digits could be 3, and each of these cases gives us 8×9Square possibilities. (The first digit cannot be 0.)

So the total number of possibilities is

9Cube +8×9Square×3=2673.

User Sam Walpole
by
2.8k points
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