  A simple procedure within the $1/N_c$ expansion method where all the $N_c$
quarks are treated on the same footing has been found successful in describing
mixed symmetric negative parity baryon states belonging to the $[{\bf
70},\ell^-]$ multiplets %with $\ell$ = 1, 2 or 3. of the $N$ = 1 and 3 bands.
Presently it is applied to mixed symmetric positive parity $[{\bf 70},0^+]$ and
$[{\bf 70},2^+]$ multiplets of the $N$ = 2 band. We search for the most
dominant terms in the mass formula. The results are compared to those obtained
in the procedure where the system is separated into a core and an excited
quark. We find that both the spin and isospin operators of the entire system of
$N_c$ quarks play dominant roles in describing the data, like for negative
parity states. As a by-product we present the contribution of the leading
spin-isospin singlet term as a function of the band number, which hints at
distinct Regge trajectories for the symmetric and mixed symmetric states.
