You can have either they place their fingers on their noses , choosing to use the plural throughout, or the singular, their finger on their nose , which says that no matter how many player their are, each uses only one finger and has only one nose. If you keep the singular finger and use the plural noses, you'll be picturing a very funny looking human being indeed. ) I would set off the name with commas as an appositive, but it may not be necessary.
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