380 Answers
- A SW ASTIKLAND MAP
~
A -
- C
r--
B
I
Three different colors are necessary. The bottom right-hand corner of the
map is here reproduced. The Lord High Keeper of the Maps had introduced
that little line dividing A and B by mistake, and this was his undoing. A, B,
and C must be different colors. Except for this slip, two colors would have
been sufficient.
- COLORING THE MAP
Two! The map requires four colors. If the boy had three pigments (red,
blue, and yellow) in his box, he could have obtained green, orange, or purple
by mixing any two. But he cannot obtain four colors from fewer than three;
consequently, there must have been only two ("not enough colors by one")
in his box. "Color" refers to red, orange, yellow, green, blue and purple.
Variant shades, such as bluish-green and yellowish-green, are not to be
considered.
- PICTURE PRESENTATION
Multiply together as many 2's as there are pictures and deduct l. Thus 2
raised to the tenth power is 1,024, and deducting I we get 1,023 as the correct
answer. Suppose there had been only three pictures. Then one can be selected