Maths · Permutations and combinations

5 boys are to be arranged in a row. It two particular boys desire to sit in end

5 boys are to be arranged in a row. It two particular boys desire to sit in end places, the number of possible arrangements is

  • A. 60
  • B. 120
  • C. 240
  • D. 12

Step-by-step solution

The two particular boys occupy the two end places in 2! = 2 ways. The remaining three boys can be arranged in the three middle positions in 3! = 6 ways. Total arrangements = 2 × 6 = 12.
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