Find, if​ possible, the number of elements in sets​ A, B, and C using the given information on the right.         Question content area bottom left Part 1 Select the correct choice below and fill in any answer boxes in your choice.     A. ​n(A)=enter your response here ​n(B)=enter your response here ​n(C)=enter your response here   B. It is not possible to find the number of elements in sets​ A, B, and C.   ...   Question content area right Part 1 n(A∩B)=5​,    n(A∩B∩C)=2​,    n(B∩C)=8​,    n(B−A)=12​,    n(B∪C)=25​,    n(A∩C)=7​,    n(A∪B∪C)=28.

A student has twelve books that she would like to place in her backpack.​ However, there is only room for nine books. Regardless of the​ arrangement, how many ways are there of placing nine books into her ​backpack?       Question content area bottom Part 1 There are enter your response here ways she can place nine of the twelve books into her backpack.

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A Math 30-2 teacher is creating a math test for their class. The table below lists the question type and the number of questions for each type that will be on the test. Question Type Number of questions Written Response 1 Numerical Response 3 Multiple Choice 4 The number of different ways the Math 30-2 teacher can create the 8 question test is A If the Math 30-2 teacher wants to have a numerical response question at the end of the test, the number of different ways the teacher can create the 8 question test is A If the Math 30-2 teacher wants to have a multiple choice question at the start and end of the test, the number of different ways the teacher can create the 8 question test is

= Homework: 2.3 HW Let A = {4,5,7} and B {8,9}. Find A x B. Choose the correct set. O A. (32,36,40,45,56,63} O B. {(4,8),(4,9),(5,8),(5,9),(7,8),(7,9),(8,4),(8,5),(8,7),(9,4),(9,5),(9,7)} O C. {(4,8).(4,9),(5,8),(5,9),(7,8),(7,9)} O D. {(8,4),(8,5),(8,7),(9,4),(9,5),(9,7)}

How many ways are there to choose 2 different letters from A, B, C, D, E, F? (default: the order does not matter).  a. 15 b. 30 c. 11 d. 10 e. 20 f. None of the other answers is correct.

Use the following information to answer the next question Leonidas is having a party and is planning to play some great music over the dinner hour. He made a short list of 18 songs that include 10 classical songs and 8 jazz songs. Over the dinner hour it is decided that of the 18 songs, 4 classical songs and 3 jazz songs will be selected, and then arranged into an order to be played. To determine the number of potential music arrangements for the party the following expressions were created: i) 10C4 X 8C3 X 7! ii) 10P4 8P3 iii) (¹0)(3) × 5040 iv) 18P7 v) (10 x 9 x 8 x 7) × (8 × 7 × 6) vi) 11. How many of the above expressions are correct? a) 5 b) 4 (10x9x8x7) (8x7x6) X 4! 3! c) 3 x 7! d) 2

How many different choices of car does a person have if a particular model comes in 8 colors and 3 styles There are different choices of car. (Simplify your answer.) A

Given A = {1, 5, 6, 8} and B = {2, 5, 6, 8, 9}, find B – A. O {1, 2, 5, 6, 8} ○ {5,6,8} ○ {2, 9} {1}

You are assigned to a study group of eight students. As a “getting to know you” exercise, you each identify the season of your birth. The following are the responses of the students in your group: