Multiple choice

A group of 3 boys (Ram, Mohan and Dhruv ) and 3 girls (Shikha, Prerna and Vibha) went to a multiplex to watch a movie and got six seats in a single row numbered 1 to 6. Among themselves they decided that they will share alternate seats with girls. In how many possible ways can they be seated?

  1. 9

  2. 18

  3. 36

  4. 72

  5. 144
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

They will have to sit on alternate seats. So, two possible arrangements are (If G represents a girl and B a boy) GBGBGB and BGBGBG.

In first arrangement boys can sit in 3 X 2 X 1 = 6 ways and girls also in 6 ways. So possible ways in first arrangement are 6 X 6 = 36 ways.

Similarly, 36 ways in second arrangement.

So, total possible ways are 36 + 36 = 72 ways.

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