Forex Positions and Correlation

Hello.

I wanted to ask how you all deal with this. What do you usually do when you get trading signals from multiple pairs within a short period of time? There are currencies that are correlated and inversely correlated, do you simply disregard the signals where the instrument is not moving in the proper direction in regard to the positions that are currently open.

Example:
Scenario 1
Current Open Positions
USD/JPY (Short)
USD/CAD (Short)

These pairs have a bias to move in the same direction (correlated) lets say that you get a sell signal from EUR/GBP, but this pair has a bias to trade in the opposite direction (inversely correlated). Do you still take the position or do you skip on it?

Lastly, how many positions should one have open at once from different pairs? What if you get multiple signals from different pairs in a short period of time? I know that opening multiple position in the same market would dramatically increase the risk. Should I just take signals in a first come first serve basis, since I can not guarantee that I am going to get an other signal. Moreover, if I get another signal should I only take it based on the correlation of the current open position?

Thanks
David

Source.