If roots of the equation $3{\mathrm{x}}^2+(\mathrm{b}+1)\mathrm{x}+\mathrm{c}=0$ are real and distinct where c is natural number and $\text{b\hspace{0.17em}\hspace{0.17em}∈\hspace{0.17em}\hspace{0.17em}{3,\hspace{0.17em}\hspace{0.17em}5,\hspace{0.17em}\hspace{0.17em}7,\hspace{0.17em}\hspace{0.17em}9,\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}11,\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}13,\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}15}}$. Then the number of such equations will be