Hint
There are 3 P's, so there are 3 different ways to start the word.
Answer
960.
Reasoning
Given: P P P U U Z Z Z Z Z L L L L E S S.
The order of the Z's is important. For example, we could chose a red one and a green one, so the order they appear in the sign has to be taken into consideration.
There are:
3 different P's that could be chosen.
2 different U's that could be chosen.
5 different Z's that could be chosen.
4 different Z's that could be chosen, as one has already been chosen.
4 different L's that could be chosen.
1 E that could be chosen.
2 different S's that could be chosen.
So there are 3 x 2 x 5 x 4 x 4 x 1 x 2 = 960 different ways to make the sign.
??
Puzzle 802
Traffic was bad going to work this morning. I only managed to average 30 mph.
How fast must I go home tonight, along the same route, to average 60 mph for the entire round trip?
Hint
It doesn't matter what the distance is, so try a random distance.
Answer
This cannot be done.
It does not matter how far the trip is, let's assume that it is random distance, say 60 miles, and remembering that Time = Distance ÷ Speed.
The morning trip took 60 miles ÷ 30 mph = 2 hours.
To average the required 60 mph, we would have to travel the total distance (of 120 miles) in 2 hours. However, we've already used all of the two hours for the morning trip!
Choosing any random distance would also show that it can't be done.
Below is a map of the BrainBashers detention facility.
There are 9 guards, A to I, who are in charge of a particular number of cells.
The guards only guard cells that they can see in a continuous straight line, either horizontally or vertically, and each cell is only protected by one guard.
The numbers represent how many cells each guard is in charge of, they are of course in charge of the cell they are currently in.
Can you work out which guards are in charge of which cells?
A-7
B-7
C-5
D-1
E-5
F-3
G-6
H-3
I-12
Note: this puzzle is not interactive, and the squares cannot be clicked.
