Question

in a class of 50 students 35 students like to play football and 40 students like to play cricket all the students play one of the game find how many students like to play only cricket
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Answer 1

Answer: 15 students like to play only cricket

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Step-by-step explanation:

so

n(u)=50(universal set)

n(f)=35(those who like to play football)

n(c)=40(those who like to play cricket)

now

let the people who like both be x

n(u)=n o(f)+n o(c)+n(f intersect c)

or 50=35-x + 40-x +x

or 50=75 -x

or x= 25(25 like both)

again only cricket or n o(c)=40-x=40-25-15

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