How many positive integers less than 9,000 are there in which the sum of the digits equals 5?  Choose the correct option
A) 56	B) 57	C) 58	D) 59	E) 60
Basically, the question asks how many 4 digit numbers (including those in the form 0XXX, 00XX, and 000X) have digits which add up to 5. Think about the question this way: we know that there is a total of 5 to be spread among the 4 digits, we just have to determine the number of ways it can be spread.   Let X represent a sum of 1, and | represent a seperator between two digits. As a result, we will have 5 X's (digits add up to the 5), and 3 |'s (3 digit seperators).   So, for example:   XX|X|X|X = 2111   ||XXX|XX = 0032   etc.   There are 8C3 ways to determine where to place the separators. Hence, the answer is 8C3 = 56.   56
<result>A</result>
How many positive integers less than 9,000 are there in which the sum of the digits equals 5?