+0  
 
0
65
1
avatar

How many 3-digit numbers can be written as the sum of three (not necessarily different) 2-digit numbers?

 Dec 2, 2019
 #1
avatar
0

ALL the 2-digit numbers from 34 -99 = 66 numbers, when added 3 at a time, will make a 3-digit number. So, theoretically, you could have as many as 66 C 3 =45,760 3-digit numbers!!! In addition, if you are allowed to, you can take any of the 66 numbers and multiply it by 3, which is the same as adding them 3 times such as: 34 + 34 + 34 =102. However, since there are only 900 3-digit numbers between 100 and 999, most of the above numbers will be duplicates many times over.

 Dec 2, 2019

76 Online Users

avatar
avatar
avatar
avatar
avatar
avatar
avatar
avatar