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How many positive integers less than 1000 have distinct digits?
10*9*8=720
Which is greater the greatest whole number with five digits or the least whole number with 6 digits?
Integers of 6 digits are normally greater than integers of 5 digits
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.
How many binary digits can one hexadecimal digit represent?
4 digits - representing 16 integers.
How many integers between 1000 and 9999 have distinct digits?
Distinct means different from all others. So there can be no repeated digits. Thus, 4124 is not possible because there are two '4' digits. There are 9 ways to choose the first digit (1-9, as 0 is not possible). Subsequently, there are 9 choices for the second digit, since there are 10 possible digits (0-9), but we can't pick the same one as the first digit. Next, there are 8 ways to choose the 3rd digit, since we can't choose the same as either of the first two digits. Finally, there are 7 ways to choose the 4th digit. The answer is 9 * 9 * 8 * 7 = 4536.
