Which of the following is/are false?

Question

$\begin{array}{1 1}(1)\;\text{Over modulation gives rise to distorted and harsh sounding transmitted signals}\\(2)\; \text{Modulation index of an AM wave may vary from +1 to -1}\\(3)\;\text{In AM,all transmitted intelligence is in side bands and no signal is found in the carrier}\end{array}$ $\begin{array}{1 1}(a)\;\text{(1) only}\\(b)\;\text{(2) only}\\(c)\;\text{(1) and (2) }\\(d)\;\text{(1),(2) and (3)}\end{array}$