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Outage probability of a selection combiner (SC) receiver is analyzed over exponentially correlated composite Weibull-gamma fading channels. An expression for the joint probability density function (PDF) of multivariate, exponentially correlated Weibull-gamma distributed random variable is obtained. Using this joint PDF, we derive an expression for the outage probability of a SC receiver with arbitrary number of input branches. Obtained expressions are numerically evaluated and the effect of fading parameters, correlation coefficient and diversity order on the outage are studied.