The difference between Dustbin and Rubbish bin
When used as nouns, dustbin means a bin for holding rubbish until it can be collected, whereas rubbish bin means garbage can, trash can.
check bellow for the other definitions of Dustbin and Rubbish bin
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Dustbin as a noun (British):
A bin for holding rubbish until it can be collected; a garbage can.
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Rubbish bin as a noun (Australian, NZ, British):
Garbage can, trash can.