390 Answers- TARGET PRACfICE
The total score was 213, so each man scored 71, and this could be done in
the following manner: One man scored 50, 10, 5, 3, 2, and I; another scored
25, 20, 20, 3, 2, and I; and the third man 25, 20, 10, 10, 5, and I.469. TOM TIDDLER'S GROUND
The large majority of competitors who tried to solve "Tom Tiddler's
Ground," when it first appeared in London's Daily News, succeeded in secur-
ing bags containing only $45.00.
The correct answer is $47.00 contained in ten bags, all deposited on outside
plots, thus: 4, 5, 6 in the first row, 5 in the second, 4 in the third, 3 in
the fourth, 5 in the fifth, and 5, 6, 4 in the bottom row. If you include
five bags containing $6.00 each, you can secure only nine bags, and a value
of $46.00.- THE SEVEN CHILDREN
There are 5,040 ways of arranging the children, and 720 different ways of
placing a girl at each end. Therefore, the chances are 720 in 5,040, or I in 7.
Or, which is the same thing, the chances are I to 6 in favor, or 6 to I against,
there being a girl at both ends.- TIC TAC TOE
Number the board, as in Figure A. Mr. Nought (the first player) can open
in one of three ways: he can play to the center, 5, or to a corner, I, 3, 7, or 9,
or to a side, 2, 4, 6, 8. Let us take these openings in turn. If he leads with a
center, then Mr. Cross has the option of a corner or a side. If he takes a side,
such as 2 in Figure A, then Nought plays I and 4 successively (or I and 7),
and wins. Cross must take a corner, as in Figure B, and then Nought cannot
do better than draw. If Nought leads with a corner, say I, Cross has five dif-
ferent replies, as in Figures C, D, E, F, and G (for 4 here is the same as 2, 7
the same as 3, and 8 the same as 6). If he plays as in Figure C, Nought wins
with 5 and 4; if he plays as in D, Nought wins with 7 and 3; if as in
E, Nought wins with 9 and 7; if as in F, Nought wins with 5 and 3. Cross is