Marble Marvel

Marble Marvel

In a contest, five marbles of different colors (red, blue, green, purple, orange) were placed in five closed boxes (one marble per box). People were asked to guess which marble was in which box.
115 people participated in the contest. When the boxes were opened, it turned out that 52 people had guessed none of the marbles correctly, 27 had guessed one marble correctly, 12 people had guessed two marbles correctly and 8 had guessed three marbles correctly.
How many people had guessed exactly four marbles correctly?

Asked on April 21, 2017 in Puzzles.
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