victoriaremigio victoriaremigio
  • 22-01-2020
  • Mathematics
contestada

disjoint subsets A and B of a universal set U, except assume that n(U)=120, n(A)=45, and n(B)=50.

Then n(A′∪B)=

Respuesta :

ranikashyab066 ranikashyab066
  • 29-01-2020

Answer:

 n (A'  U  B )  = 75

Step-by-step explanation:

Here, given :  n(U)=120, n(A)=45, and n(B)=50

As we know:

n (A ' U B)  =  n(A) − n (A∩B)   ... (1)

Here, n(A) = 45

So, n( A')  = n(U) - n(A)  = 120 - 45  = 75

⇒ n(A')  = 75

Now, as given A and B are disjoint sets.

⇒   n (A ∩ B)   = Ф

So, (A'  U  B )  = A'

So, n (A'  U  B )  =n( A') = 75

⇒  n (A'  U  B )  = 75

Answer Link

Otras preguntas

What is the exponential form of 1800
Is √25 a real, rational, irrational, integer, whole, or natural number?? Btw it could be more than one!
Use the correct form of "ir" to say where they are going. Francisco: Mis padres y yo ________ a Nueva York. Y tú, Ana María, ¿adónde _______ ? Ana María: Yo
What is the effect of the imagery in this poem?
Which of the following is a characteristic of nonmetals? Nonmetals do not conduct electricity. Nonmetals are often malleable. Nonmetals are
luke is keeping track of the total number of hours he exercise. he started the summer having already put in 15 hours and he than exercise 7 hours each week. the
What are the minimum factors a router must know to be able to affectively route packets?
85. (1) A ribozyme is a catalytic protein that assists in the processing of tRNA. True False ...?
Write a proportion that can be used to find the cost of 10 notebooks if 3 notebooks cost $1.98.
lim x tanx/ 1-cosx x―>0 please help... ...?