Three children, each accompanied by a guardian,seek admission in a school. The principal wants to interview all the 6 one after the other subject to the condition that no child is interviewed before its guardian. In how many ways can this be done? (please give a detailed answer)

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TopNewestYour problem is the same of anagramming the letters AABBCC:

\( \frac {6!} {2! 2! 2!} \)

Take a children and his guardian as equal things. Once they are ordered, the guardian is always the first occurrence of the couple. – Luca Bernardelli · 4 years, 1 month ago

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