Five men Ankur, Bharat, Chetan, Dev, Insan and their wives Parveen, Qazi, Reshma, Sudha and Tanu join a dance party, but it is not necessary that the order of husbands and wives are the same. This is the information that-
I. Husbands dance only with their wives
II. Chetan has a sister Tanu and has only a brother Ankur
III. If Dev has dance with Tanu, that means he danced with another’s wife
IV. Bharat does not dance with Qazi or Tanu or Sudha
V. Parveen is wife of Ankur’s brother
VI. Qazi did not dance with Dev
If the dance programme were organised so that each woman danced once with every man, how many dances would there be?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 25
If each woman dances once with every man, every possible woman–man pair makes one dance. Each of the 5 women can be paired with any of the 5 men, so the pairs are counted by multiplying.
Dances for one woman \(=5\) (one with each man)
Dances for all 5 women \(=5\times5=25\)