401k and SIMPLE

In a situation where one has multiple employers during a year, and in which one offers a SIMPLE IRA and the other a 401(k), how are maximum contributions limited. In particular, if one has already contributed the maximum to the SIMPLE, is one still permitted to contribute to the 401(k)?

I am seeing conflicting answers on the Web. Some suggest that contributions to the 401(k) have the effect of reducing the $11,500 SIMPLE limit, and others suggesting that all that matters is the overall limit $17,000 limit. The first option has the effect diallowing contributions to the 401(k), while the second would allow $5500 of additional salary deferal.

Thanks, Bill.