  The growth rate of the out-of-time-ordered correlator in a N-flavor Fermi gas
is investigated and the Lyapunove exponent $\lambda_L$ is calculated to the
order of $1/N$. We find that the Lyapunove exponent monotonically increases as
the the interaction strength increases from the BCS limit to the unitary
region. At the unitarity the Lyapunove exponent increases while the temperature
drops and it can reach to the order of $\lambda_L\sim T$ around the critical
temperature for the $N=1$ case. The system scrambles faster for stronger
pairing fluctuations. At the BCS limit, the Lyapunov exponent behaviors as
$\lambda_L\propto e^{\mu/T} a^2_s T^2/N$.
