In a college, where every student follows at least one of the three teams CSK, RCB or KKR, 60% follow CSK, 82% follow RCB and 66% follow KKR.

Find the minimum % of students who follows exactly 3 teams.

Question

In a college, where every student follows at least one of the three teams CSK, RCB or KKR, 60% follow CSK, 82% follow RCB and 66% follow KKR.

Find the minimum % of students who follows exactly 3 teams.

Jeevan Mahajan · Answer

Let R U K = 100% (Maximize) As we Are Aiming to Minimize the Intersection (You Can Take any two of sets, results shall be same)
So, R U K = R + K - R intersection K,
100 = 82 + 66 - "R intersection K"
"R intersection K" = 148 -100 = 48
Now, intersect "R Intersection K" with C to get "R Intersection K Intersection C".
"R intersection K" U "C" = "R intersection K" + "C" - "R intersection K intersection C"
100 = 48 + 60 - "R intersection K intersection C"
Hence "R intersection K intersection C" = 8%.

S K · Answer

the answer would be 0% as it might be that none follow all the 3 teams. the venn diagram can be made by taking all 3 followers to be 0%

Ved · Answer

Answer must be 8%.

Kratos · Answer

@Jeevan Mahajan. Thanks for the solution. I too arrived at the same answer, but according to Arun Sharma's LR book, the answer is 0%. So, just wanted to confirm the answer.

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