(a) How many five-digit integers (integers from 10,000 through 99,999) are divisible by 5?
(b) What is the probability that a five-digit integer chosen at random is divisible by 5?
To find how many five digit integers (integers from through ) are divisible by .
Number is divisible by if unit digit number is .
We have to find the total number of digit integers which are divisible by .
A number is said to be divisible by if the ones digit is either .
Case : Consider that the ones digit is , and the number of ways in which the other four places can be filled is , since all the places can take all the ten digits except the extreme left, as cannot occupy it
To find the probability that a five-digit integer chosen at random is divisible by .
The probability that an integer chosen at random from through has at least one repeated digit.
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