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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. Praveen is wife of Ankur's brother

VI. Qazi did not dance with Dev

If such type of dance programme well organized, how many dances are possible that each woman dance with opposite sex?

Solution

Correct Option: 4

Each of the 5 women can pair with any of the 5 men for a dance, giving 5 x 5 = 25 possible opposite-sex dance pairings.

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