Allied & ICAR Exam Bank • ALLIED_2347 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

In how many ways can 4 boys and 4 girls sit alternatively in a row of 8 chairs?

Options:

  • (A) 1152
  • (B) 576
  • (C) 2304
  • (D) 288

Answer Key:

A

Step-by-Step Solution & Explanation

Two patterns: BGBGBGBG or GBGBGBGB. For each pattern, boys can be arranged in $4! = 24$ ways, and girls in $4! = 24$ ways. Total ways = $2 \times (24 \times 24) = 2 \times 576 = 1152$.
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