Question: Let A , B , and C be sets in a universal set U . We are given n ( U ) =69, n (

LetA,B, andCbe sets in a universal setU. We are givenn(U) =69,n(A) =49,n(B) =32,n(C) =30,n(AB) =25,n(AC) =25,n(BC) =18,n(ABCC) =10.

Find the following values.

(a)n((ABC)C) :

(b)n(ACBCC) :

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

a ) 6) E Proof of P = Q -X= Z A = B -D = -E - Y = Z .'. -BAC= -A C) . ' . -(X A Y ) = Z Proof: F V - D Proof: .. F Proof: Proof of Q = P. IMPORTANT! For each step of your proof, be sure to state the...

Q:

Let A , B , and C be sets in a universal set U . We are given n ( U ) = 60, n ( A ) = 30, n ( B ) = 34, n ( C ) = 28, n ( A ? B ) = 19, n ( A ? C ) = 15, n ( B ? C ) = 10, n ( A ? B ? C C ) = 13....

Q:

Let A , B , and C be sets in a universal set U . We are given n ( U ) = 78, n ( A ) = 36, n ( B ) = 48, n ( C ) = 33, n ( A ? B ) = 22, n ( A ? C ) = 19, n ( B ? C ) = 20, n ( A ? B ? C C ) = 13....

Q:

If n(8) 465; n(ABC)-105, n(ABC)-110, and mABC-110, what is n(ABC 250 x 4. [-/12.5 Points] DETAILS TEAFMAC2 1.2.010. If n(AC)- 135 and n(ABC) - 120 what is n(ABC) 5. [-/12.5 Points] DETAILS TEAFMAC2...

Q:

5. [0/18 Points] DETAILS PREVIOUS ANSWERS ..(b.)....n.(A.n.B.C.. C) TEAFM2 4.2.014. 1/5 Submissions Used MY Let A, B, and C be sets in a universal set U. We are given n(U) = 69, n(A) = 26, n(B) = 34,...

Q:

Q1. A restaurant offers 7 different side dishes: corn, rice, beans, potatoes, carrots, squash, and broccoli. A customer must select two different side dishes for his dinner. How many outcomes are in...

Q:

Let A, B, and C be sets in a universal set U. We are given n(U) = 100, n(A) = 28, n(B) = 27, n(C) = 28 n(AB) = 11, n(AC) = 11 n(BC) = 12, n(A B C) = 7. What is n(A^C B C)?

Q:

Let A, B, and C be sets in a universal set U. We are given n(U) = 100, n(A) = 28, n(B) = 27, n(C) = 28 n(AB) = 11, n(AC) = 11 n(BC) = 12, n(A B C) = 7. What is n(A^C B C)?

Q:

Let A, B, and C be sets in a universal set U. We are given n(U) = 100, n(A) = 28, n(B) = 27, n(C) = 28 n(AB) = 11, n(AC) = 11 n(BC) = 12, n(A B C) = 7. What is n(A^C B C)?

Q:

Let A, B, and C be sets in a universal set U with the following definitions: = { :

Q:

Air at 110 kPa and 50C flows upward through a 6-cm-diameter inclined duct at a rate of 45 L/s. The duct diameter is reduced to 4 cm through a reducer. AP across the reducer is measured by a water...

Q:

Nadia has a womens fashion wear shop on the high street in the West End of London. She expects to have 1,000 left in the bank at the end of May. She is concerned about her plans to purchase womens...

Q:

26. Gasoline Prices. The U.S. Energy Information Administration (US EIA) reported that the average price for a liter of regular gasoline is $0.78. The US EIA updates its estimates of average gas...

Q:

Comment on the elements, tasks or duties during your Work-integrated Learning (WIL) that you found yourself excel in, as well as the ones you found difficult to master. ( My role was CEO & General...

Q:

9. Think of any experience that has made a very strong impression on you, and where it did not go the way you thought it would. Imagine this experience as a movie in your inner theatre. Run this...

Q:

12. Think through the last week. If you could have changed some of your behaviour, what would you have changed? How would you have changed that? What would you seek to achieve by changing your...

Q:

The work role: This consists of service to others at your workplace.