Hello,
From the first case, we can conclude that the girls are placed as per the following :
_ _ U _ _ _ R or U _ _ _ R _ _
From the second condition and forth condition, we can conclude that the girls are placed as per the following:
T S U _ _ _ R
Now the placing positions of P, Q and V are to be determined.
As per the third condition, if S and Q interchange their place then they will get exactly one new neighbor. That means their another one neighbor will be the same. So, the position of Q will be such that S and Q will share a common neighbor. So, we can conclude that, the placing arrangement of girls is like:
T S U Q _ _ R
As, more conditions are not given to satisfy the positions of P and V, there are two possible placing arrangements:
T S U Q P V R
and
T S U Q V P R
Best Wishes
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