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AP EAMCET · Maths · Permutation Combination

The number of ways in which 3 boys and 2 girls can sit on a bench so that no two boys are adjacent is  ______

  1. A 6
  2. B 10
  3. C 12
  4. D 32
Verified Solution

Answer & Solution

Correct Answer

(C) 12

Step-by-step Solution

Detailed explanation

As no two boys can sit together their arrangement will be B G B G B Boys will be arranged first and then girls will sit in between them. The number of ways of arranging boys will be 3!=3×2×1=6 And, number of ways of arranging girls will be…