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The best way to boost your IIFT prep is to practice the actual IIFT Question Papers. 2IIM offers you exactly that, in a student friendly format to take value from this. In the 2019 IIFT, quants were a mixed bag of questions of varying difficulty, with some routine questions and the others were very demanding. Some beautiful questions that laid emphasis on Learning ideas from basics and being able to comprehend more than remembering gazillion formulae and shortcuts.

Question 7: Four couples are to be seated in a circular table such that each couple sits together. In how many ways they can sit such that two males sit to the right of their female partners and the other two males sit to the left of their female partners?

36
288
1440
720

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Explanatory Answer

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Explanatory Answer

It is crucial to keep in min that the number of ways in which n people can be seated in a circle is (n-1)!

We create a double seat where a couple can sit.
So, 4 couple seats can accommodate 4 couples.
Arrangement of these 4 seats can be done in 3! Ways.
Further, we have to select two couples out of 4, in which the male partner sits to the left of the female partner.
This can be done in ⁴C₂ ways ⁴C₂ = 6.

Therefore the total number of arrangements is 3! x ⁴C₂ = 6 x 6 = 36 ways

The question is "Four couples are to be seated in a circular table such that each couple sits together. In how many ways they can sit such that two males sit to the right of their female partners and the other two males sit to the left of their female partners?"