Let $A=\{1,2,3\},B=\{a,b,c\},C=\left\{a_1,b_1,c_1,d_1,e_1\right\}$ and consider the following statements
$S_1$ : The number of one-one functions from $A$ to $C$ is $60$
$S_2$ :The number of onto functions from $C$ to $A$ is $150$
$S_3$ : The number of onto functions from $B$ to $C$ is zero
$S_4$ : The number of bijective functions from $A$ to $B$ is $6$
Which of the following combinations is true?