Question

drinking tea as well as coffee. Find how many students were
-) In a survey of 500 students in a college, 180 were listed as
drinking tea, 275 as drinking coffee and 95 were listed as both
drinking neither tea nor coffee.​

Answer 1

Explanation:

• number of students who drinks tea (T)=180
• number of students who drinks coffee(C)=275
• total number of students in a college (S)=500
• number of students who neither drink both tea(T)and coffee(C)=95
• number of students who drink both(T) and (C)=
• $n(xuy) = n(x) +n (y) - n(xny)$
• where n = number of
• x shows tea(T)
• u shows union of tea and coffee
• y shows coffee(C)
• n shows intersection of tea and coffee.

now moving into formula

n(T U C) =n(T) +n(C)- n(T N C )

= n(T U C)= 180 +275 -95

= n(T U C )= 455 - 95

= n(T U C )= 360

= n(T U C )= 500

= 500-360

= 140

number of students who drinks both tea and coffee =140.

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