GATE 2021 BM – Question 5

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

Four people P,Q,R,S are seated in a row. R must not sit second from the left. How many distinct arrangements are possible?

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Correct answer: (C) 18

Explanation

Without restriction there are 4!=24 permutations. If R is fixed in the forbidden second position, the others can be arranged in 3!=6 ways. Subtracting leaves 24−6=18, C. Equivalently R has three allowed positions, each with six arrangements.

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