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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 members of the same family are not separated?

$A$ coin is tossed $3$ times and the outcomes are recorded. How many possible outcomes are there?

There are $6$ letters and $3$ post boxes. In how many ways can these letters be posted in the post boxes?

Find the number of ways of arranging $6$ red balls and $6$ black balls in a row such that no two black balls are together.

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