N2007 P2 Q9

N2007 P2 Q9

Junior College 2
9 marks

A group of 12 people consists of 6 married couples.

  1. The group stand in a line.
    1. Find the number of different possible orders.[1]
    2. Find the number of different possible orders in which each man stands next to his wife.[3]
  2. The group stand in a circle.
    1. Find the number of different possible arrangements.[1]
    2. Find the number of different possible arrangements if men and women alternate.[2]
    3. Find the number of different possible arrangements if each man stands next to his wife and men and women alternate.[2]

Solution:

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Finding similar questions...
Answer:(i)(a) \(479001600\). (b) \(46080\). (ii)(a) \(39916800\). (b) \(86400\). (c) \(240\).

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