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26 Sep 2019, 05:35
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In a group of 100 people. 60 people like to play cricket. 20 people like to play both cricket and tennis. How many people like to play tennis but not cricket?
Logic says it's 20. Math says it's 40. Using the formula n(C ∪ T) = n(C) + n(T) - n(C ∩ T) says this is 60.
Can someone please help me out on this?
Logic says it's 20. Math says it's 40. Using the formula n(C ∪ T) = n(C) + n(T) - n(C ∩ T) says this is 60.
Can someone please help me out on this?
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Updated on: 13 Oct 2020, 20:02
Originally posted by aggarwalanubhav1990 on 26 Sep 2019, 06:14.
Last edited by aggarwalanubhav1990 on 13 Oct 2020, 20:02, edited 1 time in total.
Last edited by aggarwalanubhav1990 on 13 Oct 2020, 20:02, edited 1 time in total.
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Let me help you on this one.
1. Logic (20) is wrong because you are not considering the overlapping of those people who like both of the games.
2. Maths (40) is correct. Whatever method you are adopting to reach to the number 40.
3. Formula (60) is giving you n(T) which includes n(C ∩ T ) as well. While you need n(T) - n(C ∩ T )
Posted from my mobile device
1. Logic (20) is wrong because you are not considering the overlapping of those people who like both of the games.
2. Maths (40) is correct. Whatever method you are adopting to reach to the number 40.
3. Formula (60) is giving you n(T) which includes n(C ∩ T ) as well. While you need n(T) - n(C ∩ T )
Posted from my mobile device
26 Sep 2019, 06:28
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Hello happy to help
we want those who play tennis only
Now even with the formula it still 40 though am not a fun of formula
n(C u T) = n(C) + n(T) - n(C u T )
100 = 60 + n(T) - 20
n(T) = 60 ( remember this not tennis only as we will be overcounting )
We have some folks in the Tennis who also play cricket. Weed them out!
(20 of them) Lolx
Now n(T) only =60 -20 =40
But curious about the source though what about those who played neither? Anyway that’s the answer above
Posted from my mobile device
we want those who play tennis only
Now even with the formula it still 40 though am not a fun of formula
n(C u T) = n(C) + n(T) - n(C u T )
100 = 60 + n(T) - 20
n(T) = 60 ( remember this not tennis only as we will be overcounting )
We have some folks in the Tennis who also play cricket. Weed them out!
(20 of them) Lolx
Now n(T) only =60 -20 =40
But curious about the source though what about those who played neither? Anyway that’s the answer above
hkustaspirant
Posted from my mobile device
