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Kiran, a schoolteacher, conducted an activity for six children Anton, Bob, Chekov, Dylan, Eric and Freya in his class. He placed on a desk three

Kiran, a schoolteacher, conducted an activity for six children Anton, Bob, Chekov, Dylan, Eric and Freya in his class. He placed on a desk three kinds of fruits apples, oranges and bananas. Also, he gave a different number of fruits to each child, such that each child got fruits of the same kind, 1.e., only apples or only oranges or only bananas. He then asked each child to approach the desk, one after the other, and to keep all the fruits that they had with them on the desk first, and then, to take any number of fruits of exactly one kind from the desk, under the condition that they cannot take the same kind of fruit that they kept on the desk. The following table provides the number of fruits kept on and that taken from the desk by each child: Child Fruits Kept 12 6 5 4 14 11 Fruits Taken 6 8 9 4 7 3 Anton Bob Chekov Dylan Eric Freya

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