In a group of interpreters each one speaks one of several foreign languages, 24 of them speak Japanese, 24 Malaysian, 24 Farsi. Prove that it is possible to select a subgroup in which exactly 12 interpreters speak Japanese, exactly 12 speak Malaysian and exactly 12 speak Farsi.
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orl wrote:
remark by Darij Grinberg: However, it is not always possible to find such a subset from an odd number of translators.
This is not a remark by me, but a sentence which stood in brackets in the original book (Morozova / Petrakov). I am not too sure about the meaning of this sentence.
Darij