2007 Cyprus MO/Lyceum/Problem 16

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Problem

The full time score of a football match was $3$-$2$. How many possible half time results can we have for this match?

$\mathrm{(A) \ } 5\qquad \mathrm{(B) \ } 6\qquad \mathrm{(C) \ } 10\qquad \mathrm{(D) \ } 11\qquad \mathrm{(E) \ } 12$

Solution

The score can be any combination of $x,\ y$, $0 \le x \le 3,\ 0 \le y \le 2$. There are $4$ values for $x$, $3$ for $y$, so $3 \cdot 4 = 12 \Longrightarrow \mathrm{E}$.

See also

2007 Cyprus MO, Lyceum (Problems)
Preceded by
Problem 15
Followed by
Problem 17
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