Two families with three members each and one family with four members are to be seated in a row. In how many ways can they be seated so that the same family members are not separated ?

Question

Aicharya · Accepted Answer

We will use the concept 'objects are together'

$\underset{Total 3 families}{\underset{⏟}{3!}} \times \underset{families with all 3 members together}{\underset{⏟}{{(3!)}^{2}}} \times \underset{family with all 4 together}{\underset{⏟}{4!}}$

$= (3!)^{3} \times 4!$

Two families with three members each and one family with four members are to be seated in a row. In how many…

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