How many different ways can 6 identical oranges be allocated to 3 kids? (Some kids may receive no oranges.)

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Correct

120

210

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Official Explanation

Official

To solve this problem, we can represent the oranges with the letter O and think of distributing them into 3 baskets. To do this, we need 2 partition bars, as illustrated below: O | O…

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What this question tests

What it tests

Whether you can count arrangements and selections correctly — permutations vs. combinations.

Common trap

Overcounting: treating a selection as ordered when order does not matter, or forgetting to divide by duplicates.