The loop transfer function GH of a control system is given by

\[
\mathrm{GH}=\frac{\mathrm{K}}{s(s+1)(s+2)(s+3)}
\]

Which of the following statements regarding the conditions of the system root loci diagram is/are correct?

1. There will be four asymptotes

2. There will be three separate root loci

3. Asymptotes will intersect real axis at \(\sigma_{\mathrm{A}}=-2 / 3\).

Select the correct answer using the codes given below:
(a) 1 alone
(b) 2 alone
(c) 3 alone
(d) 1, 2 and 3.