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This is a problem regarding permutation. 

     [tex]P\left(3,3\right)=3!=3\times 2\times 1=6[/tex]

There are 6 different ways. 

Answer:

Answer is 6 ways

Step-by-step explanation:

Given that a family wants to visit three different places as Philadelphia, Baltimore, and Washington.

We have to find the number of ways these three can be visited.

Here this is a question of permutation since order matters.

There are 3 cities and these can be visited in 3P3 ways =3!

=3x2x1 =6 ways

There are in total 6 different ways that the family can visit three different places as Philadelphia, Baltimore, and Washington.

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