Question

Given n (∪∪) = 20 , n (

a. = 12 , n (

b. = 9 , n ( a ∩∩

b. = 4 , where u is the universal set , a and b are subsets of u , then n(a∪b)′

Answer 1

GIVEN :

n(U)=20, n(a)=12 , n(b)=9 , $n(a\bigcap b)=4$ , where u is the universal set , a and b are subsets of U

TO FIND :

The value of the  $n(a\bigcup b)^{\prime}$

SOLUTION :

Given that n(U)=20, n(a)=12 , n(b)=9 , $n(a\bigcap b)=4$ , where u is the universal set , a and b are subsets of U

First find  $n(a\bigcup b)$:

The formula is given by

$n(a\bigcup b)=n(a)+n(b)-n(a\bigcap b)$

Substitute the values we get,

$n(a\bigcup b)=12+9-4$

$=21-4$

$n(a\bigcup b)=17$

∴ the value is $n(a\bigcup b)=17$

Now we have that ,

$n(a\bigcup b)^\prime=n(U)-n(a\bigcup b)$

$=20-17$

$=3$

∴ $n(a\bigcup b)^\prime=3$

∴ the value of $n(a\bigcup b)^\prime$ is 3

Answer 2

Answer:

hope it will help you

Step-by-step explanation:

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