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There are 3 whose sum is 45 whose sum is 5

7 whose sum is 6

9 whose sum is 7

11 whose sum is 8

13 whose sum is 9

15 whose sum is 10

17 whose sum is 11

19 whose sum is 12

19 whose sum is 13

17 whose sum is 14

15 whose sum is 15

13 whose sum is 16

11 whose sum is 17

9 whose sum is 18

7 whose sum is 19

5 whose sum is 20

3 whose sum is 21

1 whose sum is 22.


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Q: How many integers between 300 and 500 have the sum of their digits equal to A?
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How many odd integers between 1000 and 9999 have distinct digits?

There are 120 of them.


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How many integers between 200 and 300 have the sum of their digits equal to 15?

Since the first integer of the 3-digit numbers must be 2, the sum of the second and the third digits would be 13.Since the largest digit is 9, the 3-digit numbers could be 249, 294, 258, 285, 267, and 276.Thus, there are 6 integers between 200 and 300 whose sum of their digits is 15.


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9*9*8*7 = 4536


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How many integers with distinct digits are there between 1000 and 9999 such that the absolute value of the difference between the first and the last digit is 1?

952 of them.


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An infinite amount