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Combinatorics

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Three  ladies  have  each  brought  a  child  for  admission  to  a  school. The  head  of  the  school  wishes  to  interview  the  six  people  one  by  one, taking  care  that  no  child  is  interviewed  before  its  mother.  In  how many different  ways  can  the  interviews be  arranged?

  1. $6$
  2. $36$
  3. $72$
  4. $90$
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Combinatorics Question uOttawa (University of Ottawa)
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Consider the fourteen letters: $\text{A A A B B C C C C C D E E E}$ .An ARRANGEMENT is a sequence using $\text{all}$ of these letters.For the purposes of this question, a...
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