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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?






Solution

It is given that $C$ and $B$ must be on the same team.

Also, $C$ cannot be in Tech, so $B$ and $C$ must be either in Travel or Beauty.

Since $G$ must be in Travel and $F$ cannot be in Travel, $F$ must be in Beauty or Tech.

Also, $F$ must be with either $A$ or $B$, but not both.

Since $A$ cannot be in Beauty, if Beauty contains $F$, then $F$ must be with $B$.

So, the Beauty team becomes:

$B,F,C$

This satisfies all conditions.



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