2007 Cyprus MO/Lyceum/Problem 16

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 $3 \cdot 4 = 12 \Longrightarrow \mathrm{E}$ .

2007 Cyprus MO, Lyceum (Problems)
Preceded by Problem 15	Followed by Problem 17
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30

Page

Toolbox

Search

2007 Cyprus MO/Lyceum/Problem 16

Problem

Solution

See also