Q74 / 150 · MHT CET 2022 (07 Aug Shift 1) · Mathematics

A round table conference is to be held amongst 20 countries. If two particular delegates wish to sit together, then such arrangements can be done in ways.

  • Correct answer
    A
    $2 \times(18) !$
  • B
    $\frac{19 !}{2 !}$
  • C
    $18 !$
  • D
    $19 ! \times 2 !$

Solution

We consider two particular delegates as single unit now 19 units can be arranged around a round table in 18! ways and the two delegates can be arranged mutually in 2 ! ways Hence the required number of ways is $2 \times(18$ !)

Hence, the correct answer is option: 'A'.

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