GATE 2021 PH – Question 5

General Aptitude · Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation · 1 mark · Multiple choice

Four persons P, Q, R and S are to be seated in a row. R should not be seated at the second position from the left end. The number of distinct seating arrangements possible is:

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Correct answer: (C) 18

Explanation

Without the restriction there are $4!=24$ arrangements of the four distinct people. If R is fixed in the second position, the other three can occupy the remaining positions in $3!=6$ ways. Excluding these gives $24-6=18$, option C.

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