UPSC NDA Math Model Paper 8

Given:
In a room, there are eight couples.
⇒ Eight couples = 16 peoples
We have to select four peoples out of 16 peoples.
⇒ Total possible cases =16C4
Now, we have to select four people- they may be couples
So, we have to select two couples from eight couples.
⇒ Favourable cases =8C2
Hence Required Probability =

‌8c2

‌16c4