$p$ different prizes are hidden inside $v$ vases. One of the vases can hold up to two prizes, while the rest can

$p$ different prizes are hidden inside $v$ vases. One of the vases can hold up to two prizes, while the rest can hold only one prize. Are there more than $12$ different possible arrangements of the prizes hidden in the vases?

1) $p = 3$
2) $v = 3$

Answer: B

Source: Economist

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