My Math Forum Conceptual real world math problem. Balls in Bags

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 March 27th, 2013, 12:46 PM #1 Newbie   Joined: Mar 2013 Posts: 1 Thanks: 0 Conceptual real world math problem. Balls in Bags No idea what math category this falls under but I've found myself up against a real world conceptual math problem involving one of my projects at work. Hopefully someone can help me with this one. Here's the concept: There are a certain number of bags of different sizes, and a certain number of balls of different sizes. A bag of size 2 can hold a ball of size 2, or two balls of size 1, for example. If I'm given the size of each bag, and the size of each ball, I need a formula that will tell me if there is at least one arrangement that will fit all the balls into the bags. If there is no formula is there at least a procedure that is guaranteed to produce the right arrangement? For example: Start with the largest bag and fill it with balls, starting with largest ball, then take the next largest bag.... etc. How can this be done? Much appreciated!

 Tags bags, balls, conceptual, math, problem, real, world

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