Face/be faced with/meet/be met with a problem

Many families in Formosa are faced with such a problem.

Many ...                          face such a problem.

Many ...                         meet such a problem.

Many ...                         meet with such a problem.

Many ...                         are met with such a problem.

Do all of the above wordings sound right? If yes, do they send the same message to you? If not, what are the slightly varied value? Thanks.

CalifJim wrote:

To face a problem or be faced with a problem is a fancier way of saying to have a problem, so those sound right. Meeting (or meeting with) problems is not English!  You meet people, not things -- at least in American English. CJ

Thanks, Jim, for your helpful reply.

For what it's worth, is there any subtle difference between to face and to be faced with a problem?

CalifJim wrote:

Any difference?  Not really.  Facing is a symmetric relation.  If I face you, you face me, and we face each other, so I am faced by you and you are faced by me, so to speak. To face a problem, however, suggests something more active, perhaps readiness to solve it. To be faced with a problem can suggest that the problem has just somehow appeared. CJ

Thanks, Jim, for the clear answer.

Got it.