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## Quiz of the Month (September 2001)

### Hector C. Parr

***

#### SOLUTION TO LAST MONTH'S QUIZ

```         1).  72

2).  12

3).  96

Notes

1). Mr.A chooses one chair from 6. Then Mr.B chooses one
from 2, and Mr.C has no choice.
Mrs. A chooses one from 3, then Mrs.B chooses one
from 2, and Mrs.C has no choice.
6 X 2 X 3 X 2 = 72.

2). Mr.A chooses one chair from 6. Then Mr.B chooses one
from 2. and Mr.C has no choice.
Each woman must sit opposite her husband.
6 X 2 = 12.

3). Mr.A chooses one chair from 8. Then Mr.B chooses one
from 3, and Mr.C chooses one from 2. Mr.D has no choice.
Mrs.A chooses one chair from 2. The three remaining
chairs can be occupied in only one way.
8 X 3 X 2 X 2 = 96.
```

#### THIS MONTH'S QUIZ

```  1. After long discussion, the Local Council voted on three
motions, A, B and C. In the following day's newspapers
one journalist reported "Only motion C was defeated",
another reported "Only B and C were carried", while a
third, who had gone home before the third vote, reported
simply that "A and B were carried". Furthermore, one of
the three journalists had lost his notes, and reported
incorrectly. Which motions were carried?

2. From a class of 33 students, 16 passed their Maths exam, 19
passed their Physics exam, and 5 failed both. How many
passed both?

3. Thirty people, from England, France and Germany, attended
an international conference. Of these, 16 could speak
only their native language, but 7 could speak both
English and French, 6 spoke English and German, and 5
spoke French and German. How many spoke all three languages?
```

***

(c) Hector C. Parr (2001)

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