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Amusements in Mathematics

This puzzle is on the lines of the Afridi problem published by me in Tit-Bits some years
On an open level tract of country a party of Russian infantry, no two of whom were
stationed at the same spot, were suddenly surprised by thirty-two Turks, who opened fire
on the Russians from all directions. Each of the Turks simultaneously fired a bullet, and
each bullet passed immediately over the heads of three Russian soldiers. As each of these
bullets when fired killed a different man, the puzzle is to discover what is the smallest
possible number of soldiers of which the Russian party could have consisted and what
were the casualties on each side.