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Given below is the two way switch diagram you can refer to it for further details.
The two way switch can be controlled from two places as the name suggests,
The following conditions would happen 
1. If you switch off both the buttons light will vanish.
2. If you switch off a single button then also light wont be there.
3. If you switch on both the switches light will be there.
                   THAT'S ALL FOLKS
2 3 2
two way switch usually means, you can switch on light by changing switch position at any of the two locations. but in the above example you say that the switches must be on at both places to pass current.
i mean, just by one toggle at any place, you should be able to change from on to off or vice versa.
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