Guest

Sir please explain me both the questions above.... This question is from topic sets...

Sir please explain me both the questions above....
This question is from topic sets...

Question Image
Grade:12th pass

1 Answers

Arun
25750 Points
5 years ago
n(A) = 40% of 10,000 = 4,000
n(B) = 20% of 10,000 = 2,000
n(C) = 10% of 10,000 = 1,000
n (A\tiny \cap B) = 5% of 10,000 = 500
n (B\tiny \cap C) = 3% of 10,000 = 300
n(C\tiny \cap A) = 4% of 10,000 = 400,
n(A\tiny \cap B\tiny \cap C) = 2% of 10,000 = 200
We want to find n(A  only) = n(A)  –  [n(A\tiny \cap B) + n(A\tiny \cap C)] + n(A\tiny \cap B\tiny \capC)=
 n(A  only) = 4000  –  [500 + 400] + 200 = 4000 –  700 = 3300
 
Similarly, n(B only) = n(B)  –  [n(A \tiny \cap B) + n(B\tiny \cap C)] + n(A \tiny \cap B \tiny \capC)
n(B only)  = 2000 - [500+300]+200 = 1400
 
n(none of A, B and C) = 10,000 - [n(A)+n(B) + n(C) - n (A \tiny \cap B) - n(B\tiny \cap C) - n (C\tiny \cap A) + n(A\tiny \capB\tiny \cap C)]
n(none of A, B and C) = 10,000 - [4000+2000+1000 - 500-300-400 + 200]
n(none of A, B and C) = 4000

Think You Can Provide A Better Answer ?

ASK QUESTION

Get your questions answered by the expert for free