Two Russian servicemen were killed and three injured when militants attacked their unit near the village of Kharsinoi in the mountainous southern part of Chechnya.
Three more soldiers were killed and three were wounded when their vehicle hit a roadside mine near the village of Dubai-Yurt.
An attack on police in Grozny left one police officer dead and another wounded.
Three Chechen police officers were wounded in a shoot-out on the outskirts of Urus-Martan.
The source did not say where or under what circumstances the other four servicemen were killed.