Four persons P, Q, R and S are to be seated in a row, all facing the same direction, but not necessarily in the same ord...

Question

Four persons P, Q, R and S are to be seated in a row, all facing the same direction, but not necessarily in the same order. P and R cannot sit adjacent to each other. S should be seated to the right of Q. The number of distinct seating arrangements possible is:

A. 4   B. 4   C. 6   D. 8

Accepted Answer

6 distinct seating arrangements (Option C) We have 4 people P, Q, R, S to be arranged in a row of 4 seats. Two constraints apply simultaneously: (1) P and R must not sit next to each other, and (2) S must appear somewhere to the right of Q (not necessarily immediately right). We count total valid arrangements using complementary counting.