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There are exactly 9 million seven-digit numbers.

The first is 1,000,000 and the last is 9,999,999 -- counting them both and all the ones in between makes 9,000,000.

9999999 - 1000000 = 8999999 + 1 = 9000000

Q: How many 7- digit numbers are there?

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7 two-digit numbers.

-5

-3

There are 282 such numbers.

13

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Number of 7 digit combinations out of the 10 one-digit numbers = 120.

8,999,999 of them.

7 two-digit numbers.

90

-5

-3

There are 282 such numbers.

9,000,000

128

13

The smallest 3-digit multiple of 7 is 105 = 15*7 The largest 3-digit multiple of 7 is 994 = 142*7 So there are 142-14 = 128 3-digit multiples of 7, ie 128 3-digit numbers that are divisible by 7.

There are 6804 such numbers.