Ans C = 7.
Number of Individuals $= 4,$ team Size greater than $1,$ Q is premium member.
_ _ _ Q. (max three positions left to be filled and three members left: P, R, S)
By raw counting we can get $7: \{PQ, RQ,SQ, PRQ, PSQ, RSQ, PQRS\}.$
Alternatively we can do as follows:
As four individuals are defined distinct, and we just have to select them for the three remaining positions.
Selecting $1$ person out of three, selecting $2$ persons out of three and selecting all $3$ persons, we get
$^{3}\textrm{C}_{1} + ^{3}\textrm{C}_{2} + ^{3}\textrm{C}_{3}$
$=3 + 3 + 1 = 7$