We present a deterministic key predistribution scheme in wireless sensor networks (WSN) using combinatorial designs. The design finds application where a large number sensor nodes are to be deployed. This scheme has the advantage that each sensor node contains very few keys, however every pair of sensor nodes within communication range can directly communicate with each other. We calculate the resiliency of the network with respect to two parameters of resiliency. Our scheme is resilient to selective node capture attack and node fabrication attack.