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## Quiz of the Month (December 2001)

### Hector C. Parr

***

#### SOLUTION TO LAST MONTH'S QUIZ

```  1).  6

2).  13

3).  8

Notes```
```      1). Suppose x electors voted for A & B
y electors voted for     B & C
z electors voted for A     & C

Then  x     + z = 10
x + y     = 9
y + z = 7

Solving, x = 6
y = 3
z = 4

Questions 2) and 3) may be solved by similar methods.```

#### THIS MONTH'S QUIZ

```  1. The streets of the town of Yuletideville all run either
North-South or East-West, as shown. Each day a certain
Mr. Noel Carol who lives near junction A walks to his
office near junction B. How many different routes can
he take, assuming he walks no unnecessary distance?

2. If his office is moved to a new location at C, how many
routes can he then take for his walk to work?

3. If the office has yet another move to D, how many routes
can he then take?```

***

(c) Hector C. Parr (2001)

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