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Say someone holds 100,000 btc. Over time, this address has been spammed with dust by numerous parties.
Now, the oldest funds come from the previous large transaction. If the dust is, say 0.0000101 btc, can someone send this exact amount elsewhere and get rid of the dust? Or will the client get the oldest inputs and spend the dust from there?

Why the bitcoin-xt tag? AFAIK, coin selection is the same between XT/Core. – Nick ODell – 2015-11-10T03:57:35.043
I figure some people might be looking at that tag specifically. – linhares – 2015-11-10T05:09:47.497
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possible duplicate of What is the coin selection algorithm?, How can I control which coins to spend in a transaction?, What does Bitcoin Core's "Coin Control Features" do and how do I use it?
– Murch – 2015-11-10T11:18:24.060