Henry Ernest Dudeney/Puzzles and Curious Problems/307 - Scoring at Billiards/Solution

Puzzles and Curious Problems by Henry Ernest Dudeney: $307$

Scoring at Billiards

What is the highest score that you can make in two consecutive shots at billiards?

Solution

$18$.

Proof

$(1): \quad$ Cannon $(2)$, pot the red $(3)$, and in-off red $(3)$, leaving white up, total $8$.

$(2): \quad$ Cannon $(2)$, pot the white $(2)$, pot the red $(3)$, and in-off red $(3)$, total $10$.

$\blacksquare$

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Solutions: $307$. -- Scoring at Billiards