186 Answered Questions for the topic Sets

03/05/15

In how many ways can the assignments be made if John writes the introduction?
Assume that 12 students, including John, are working on the project report, which contains an introduction, 4 chapters, and a conclusion for a total of 6 sections.(1) In how many ways can the... more
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03/03/15

How many different casts are there?
Assume that there are 6 unfilled roles: 4 male and 2 female. There are 8 men and 4 women, including Jennifer, auditioning for a part in the play. (1) How many different casts are there? (2) How... more
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03/03/15

How many outcomes does this experiment have?
For this problem, assume the balls in the box are numbered 1 through 7, and that an experiment consists of randomly selecting 2 balls one after another without replacement. (1) How many outcomes... more
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03/03/15

How many different answer sheets can be submitted?
For this problem, assume the test had 8 true-false questions and 8 multiple-choice questions, and that each multiple-choice question had 3 choices.
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03/03/15

What is the probability that you choose the December 1st issue of Newsweek?
Assume that there are 8 different issues of Sports Illustrated, 7 different issues of Time, and 4 different issues of Newsweek, including the December 1st issue, on the rack. You choose 4 of them... more
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03/02/15

Finite Homework: Probability and statistics.
1. Assume that there are 19 frozen dinners: 10 pasta, 6 chicken, and 3 seafood dinners. The student selects 5 of them. What is the probability that at least 2 of the dinners selected are pasta... more
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03/02/15

(1) What is the probability that exactly 1 is an issue issue of Newsweek?
Assume that there are 6 different issues of Newsweek, 7 different issues of Sports Illustrated, and 3 different issues of Time, including the December 1st issue, on the rack. You choose 4 of them... more
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03/02/15

What is the probability that both heads and tails occur?
involving flipping a fair coin. Assume that the coin is flipped 3 times.What is the probability that both heads and tails occur?
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02/19/15

In how many different ways can the 3 CD's be selected?
student who wants to buy 3 CDs, but assume that there are 3 CDs featuring the piano, 4 CDs featuring the trumpet, and 5 CDs featuring the saxophone.   (1) In how many different ways can the 3... more
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02/19/15

In how many ways can the selection be made so that at least one of each color is drawn?
Your urn contains 7 red balls, and 9 blue balls, and you draw 4 balls.
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02/19/15

In how many ways can merchandise be shipped from Dallas to Atlanta using these routes?
Assume that there are 3 routes from Dallas to Los Angeles, 4 routes from Los Angeles to New York, and 5 from New York to Atlanta.
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02/19/15

In how many ways can the student select 7 writing implements? In how many ways can the selection be made if no more than one ball point pen is selected?
Assume that the student has a cup with 13 writing implements: 6 pencils, 5 ball point pens, and 2 felt-tip pens.
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02/18/15

(1) In how many ways can the selection be made?
Assume that you have 7 dimes and 4 quarters (all distinct), and you select 5 coins.   (1) In how many ways can the selection be made? (2) In how many ways can the selection be made if all the... more
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02/14/15

How many subsets of S have at most 4 elements?
Assume that the set S has 13 elements.
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02/14/15

(1) How many different teams can be selected? (2) How many different teams can be selected if each team must contain exactly 4 girls and 3 boys? (3) How ma
Assume that there are 9 girls and 10 boys in the neighborhood club, and a team of 7 is to be selected.
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02/11/15

In how many ways can this be done?
the chairperson who must select a subcommittee but assume that the committee consists of 13 people including the chairperson and that the chairperson must select a committee of 3 people from the... more
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02/11/15

Compute the following:
(1) C(6,3) = (2) C(7,3) = (3) C(9,5) = (4) C(8,2)· C(8,6) =
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02/10/15

What is the value of w3? What is the value of w4? What is the value of w1?
For this problem, assume that 3, 6, 5, and 2 are equally likely, a 4 is four times as likely as a 2, and a 1 is twice as likely as a 4.
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02/10/15

What is the value of Pr[E]? What is the value of Pr[F']?
For this problem, assume that S = { O1, O2, O3, O4 } and that w1 = 0.07, w2 = 0.29, w3 = 0.18, w4 = 0.46. Let E = { O1 , O2} and F = { O4 , O3}.
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02/01/15

How many different product codes contain exactly one Y?
Assume that product codes are formed from the letters X, Y, S, W, R, and U, and consist of 5 not necessarily distinct letters arranged one after the other. For example, XXRRY is a product code.
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Sets Finite

02/01/15

How many different product codes do not contain U?
Assume that product codes are formed from the letters X, Y, S, W, R, and U, and consist of 5 not necessarily distinct letters arranged one after the other. For example, XXRRY is a product code.
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Sets Finite

02/01/15

How many different product codes are there?
Assume that product codes are formed from the letters X, Y, S, W, R, and U, and consist of 5 not necessarily distinct letters arranged one after the other. For example, XXRRY is a product code.
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02/01/15

How many different codes are possible?
Assume that X = { G, C, D, B, E} and Y = { 6, 2, 5, 4, 3, 7}. A code consists of 3 different symbols selected from X followed by 4 not necessarily different symbols from Y.
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Sets

01/26/15

for a survey of 80 law students it was found that 20 took probate law...
20 took probate law, 40 took criminal law, and 12 took probate law but not crimimal law. How many of the 80 students took exactly one of these classes?
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Sets

01/26/15

let a,b,c be subsets of a universal set U. find n(b)
Suppose n(U)= 70, n(a)=20, n(c)=22, n(a intercept c)=7, n(b intercept c)=9, a intercept b={ }, and n(a' intercept b' intercept c')=11. Find n(b).
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