How many currents are in a circuit with this configuration?

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oneplusone
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For the following circuit:
10b.GIF


How would you deduce the number of currents there are?
I am having trouble predicting how many are there (i am convinced there are 3).

Also, in general, what are some tips for finding how many currents there are?
 
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Choose a current flowing along any path between two nodes.
Yes, there are three in the circuit shown.

ehild