Question

Let A and B be two sets such that n(A) = 0.16, n (B) = 0.14, n (A u B) = 0.25. Then n (A n B) is equal to

Answer 1

GIVEN :

Let A and B be two sets such that n(A) = 0.16, n(B) = 0.14, $n(A\bigcup B)=0.25$.

TO FIND :

The value of $n(A\bigcap B)$

SOLUTION :

Given that let A and B be two sets such that n(A) = 0.16, n(B) = 0.14, $n(A\bigcup B) = 0.25$.

The formula is given by :

$n(A\bigcup B)=n(A)+n(B)-n(A\bigcap B)$.

Substitute the values in the formula we get,

$0.25=0.16+0.14-n(A\bigcap B)$.

$n(A\bigcap B)=0.16+0.14-0.25$

$=0.30-0.25$

$=0.05$

∴ $n(A\bigcap B)=0.05$

∴ the value of $n(A\bigcap B)$ is 0.05

Answer 2

Answer:

0.05

Step-by-step explanation:

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