Rule of Sum and Rule of Product

Counting Integers in a Range


How many integers nn satisfy the inequality 22n49 22 \leq n \leq 49?

How many integers are greater than or equal to 986 986 but strictly less than 1031?1031?

How many integers nn are there satisfying the inequality 479<n<559?479 < n < 559?

How many positive 2 digit numbers are there, such that the units digit is strictly smaller than the tens digit?

Details and assumptions

The number 12=01212=012 is a 2-digit number, not a 3-digit number.

Han Dynasty is the second imperial dynasty of China. It was established in 206 BCE and survived until 220 CE. How many years are there between its establishment and collapse inclusive of both ends?


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