Allied & ICAR Exam Bank • ALLIED_2188 NAT • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

In how many ways can 6 books of different subjects be arranged on a shelf such that two particular books are never together?

Answer Key:

480

Step-by-Step Solution & Explanation

Total arrangements = $6! = 720$. Arrangements with the two books together = $2! \times 5! = 2 \times 120 = 240$. Ways with them never together = $720 - 240 = 480$.
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