Youtube is organizing an event with seven content creators $A,B,C,D,E,F$ and $G$, by grouping them into three teams based on Travel, Beauty and Tech. Each team needs at least $2$ content creators, and a creator can be only in a single team. There are certain constraints on the team formations.
a) $A$ and $B$ refuse to be on the same team.
b) $C$ can be in team Travel or Beauty but not Tech.
c) If $D$ goes to Tech then $E$ also must be in Tech.
d) $F$ must be with either $A$ or $B$ but not both and not in the Travel team.
e) $G$ must be in team Travel.
f) The Tech team should have exactly $2$ members.
g) No team can have more than $3$ creators.
h) $E$ must not be in the same team as $G$.
i) $C$ and $B$ must be on the same team.
j) $A$ cannot be in team Beauty.
Who are the members of the Beauty Team?
