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.

  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?