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Reserve the central front-row positions before placing the children

Four married couples attend a wedding dinner. One couple brings two children. Find the ways these ten people can sit around a table if

(i) there are no restrictions, mark

(ii) each couple must sit together. marks

They take a photo with the bride and bridegroom. The twelve people arrange themselves in two rows of six, with the bride and bridegroom together in the middle of the front row. How many arrangements also place both children in the front row? marks

[2010/NJC/II/7]

CJC · Review problems · Question 16

The central front pair is reserved, leaving four eligible front positions for the children.

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