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Solutions
Given: An uncertain number of persons are sitting in a row facing the North.
From the given conditions, we get the following possibilities-
1. G sits sixth from one of the extreme ends of the row. Only two persons sit between G and S, who sits third from the left end of the row. From these two conditions, we get-

2. F, who sits to the immediate right of G, is seated second to the left of P. From this we get-

3. Only one person sits between P and T. R, who sits third to the right of T is an immediate neighbour of W. From these conditions, we get-

4. W doesn’t sit to the right of R. Only five people sit to the right of W. V sits sixth to the right of T. From these conditions, we get the final arrangement as follows:

From the above final arrangement, we see that the number of persons sitting to the left of F is six and the number of persons sitting to the right of R is four.
Therefore, the sum of the above two is 10.
Hence, the sum of the number of persons sitting to the left of F and to the right of P is 10.