was supposed to have been three sharp runs. But the umpires declared
that there had been two short runs at each end--four in all. To what
extent, if any, did this manoeuvre increase Mr. Struggles's total?


388.--SLOW CRICKET.

In the recent county match between Wessex and Nincomshire the former
team were at the wickets all day, the last man being put out a few
minutes before the time for drawing stumps. The play was so slow that
most of the spectators were fast asleep, and, on being awakened by one
of the officials clearing the ground, we learnt that two men had been
put out leg-before-wicket for a combined score of 19 runs; four men were
caught for a combined score or 17 runs; one man was run out for a duck's
egg; and the others were all bowled for 3 runs each. There were no
extras. We were not told which of the men was the captain, but he made
exactly 15 more than the average of his team. What was the captain's
score?


389.--THE FOOTBALL PLAYERS.

"It is a glorious game!" an enthusiast was heard to exclaim. "At the
close of last season, of the footballers of my acquaintance four had
broken their left arm, five had broken their right arm, two had the
right arm sound, and three had sound left arms." Can you discover from
that statement what is the smallest number of players that the speaker
could be acquainted with?

It does not at all follow that there were as many as fourteen men,