According to the question,
All the integers between 500 & 1000 are 3 digit no.s greater than 500.
∴ First place may have digits 5,6,7,8 & 9 = 5 possibilities
Second & third place may have digits 3 or 4 = 2 possibilities
⇒Total no. of possibilities \(=5*2\)
\(=10\)
Thus, total no. of such integers are 10.
~Amy
How many integers between 500 and 1000 contain both the digits 3 and 4?
Two ways the integer can contain both 3 and 4 ... to wit, it ends with 34 or 43.
So, in the 500's there are 534 and 543
similarly there are 634 and 643
734 and 743
834 and 843
934 and 943 total: 10 such integers
.