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# Rule of Sum and Rule of Product

Seek simple and succinct solutions in these systems by sussing-out the significant symmetries.

How many integers \(n\) satisfy the inequality \( 22 \leq n \leq 49\)?

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

How many integers \(n\) are there satisfying the inequality \[479 < n < 559?\]

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 \(12=012\) is a 2-digit number, not a 3-digit number.

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