How many positive integers less than 1000?
a) have distinct digits
b) have distinct digits and are even
c) divisible by 7
d) divisible by 7 and not 11
c) both 7 and 11
d) either 7 or 11
e) exactly one of 7 or 11
f) neither 7 or 11
The solution is comprised of detailed explanations on how to find the number of postive integers less than 1000 with various restrictions, such as distinct digits, divisible by 7.