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How many positive integers less than 1000 have distinct digits?

10*9*8=720


How many odd integers between 1000 and 9999 have distinct digits?

There are 120 of them.


What is the sum of all the digits of all the positive integers that are less than 100?

The sum of all the digits of all the positive integers that are less than 100 is 4,950.


What is the sum of positive six digit integers whose digits are a permutation of the digits in the number 123456?

279,999,720


How many positive integers less than 1000 have distinct digits and are even?

To determine the number of positive integers less than 1000 with distinct digits and are even, we need to consider the possible combinations of digits. Since the number must be even, the last digit must be even, giving us 5 options (0, 2, 4, 6, 8). For the hundreds digit, we have 9 options (1-9), and for the tens digit, we have 8 options (0-9 excluding the hundreds digit and the last digit). Therefore, the total number of such integers is 5 * 9 * 8 = 360.


What percentage of the first 100 positive integers contains no even digits?

50%


How many 3 digit positive integers have 5 as the product of their digits?

Three of them.


How many integers between 1000-9999 have distinct digits?

9*9*8*7 = 4536


How many positive integers less than 1000 have no odd decimal digits?

52


What are the last two digits in the sum of factorials of the first 100 positive integers?

They are 13.


How many positive integers ar equal to 12 times the sum of their digits?

There are none.


How many positive integers have exactly three digits?

Every number from 100 to 999 inclusive !