IIFT 2019 Question Paper | Quants

CAT Questions

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 22: According to birth registration data available with the South Delhi Municipal Corporation,7 babies were born in a particular week in a private hospital. What is the probability that three babies were born on the same day of the week?

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Video Explanation

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Explanatory Answer

Each baby can be born on any of the 7 days and so for 7 babies the total sample size becomes 7^7
Further, to find 3 babies born on the same day we select 3 babies out of 7 in 7C3 ways.
And these babies can be born on any of the 7 days, which can be selected in 7 ways.
The remaining 4 babies must be born on 4 different days out of the remaining 6 days.
This can be done in in 6C4 ways, and the babies can be arranged in these 4 days in 4! Ways.
So our final calculation becomes:
\\frac{7C3 × 7 × 6C4 × 4!}{7^{7}})
On solving we get
\\frac{1800}{7^5})

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The question is "What is the probability that three babies were born on the same day of the week?

Hence, the answer is, "\\frac{1800}{7^5})"

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