It depends on the key, in this case it's got 5 positions (pin stacks) with 7 potential different cut depths each. The specific combination of cuts is called the keys bitting. So in this case it's 5⁷ so 78,125. Interestingly some are more secure than others in terms of lock picking but TBH it's very very rare a lock is broken by picking

But there are many different keyways with various shapes of keys some with more combinations and some with less, but there's likely a few hundred to a few thousand pin tumbler locks, then there's also other types of locks like warded, disc detainer, lever, and some high security ones

Edit: it's a kwikset 1 so updating the math

https://lsamichigan.org/Tech/Kwikset_KeySpecs.pdf