141 Answered Questions for the topic Permutations

Permutations

07/13/15

Permutations
A triangle can be classified according to its sides or according to its angles. There are three side length categories- equilateral, isosceles, and scalene- and three angle categories- acute,... more
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Permutations

06/03/15

I need to understand how to do permutations.
For the problem 3P2=(n!)/(n-r)! where n=3 and r=2, (The 3 and 2 at the beginning are subscript.) the book says the answer is 6 but I am getting 3. What am I doing wrong?
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Permutations

06/02/15

Find the number of permutations of the letters in the word Honolulu if vowels and consonants must be kept together
I honestly don't understand questions like this. I get the main concept of permutations, but then when I see a question like this, my brain just freezes. Are there any steps I can go through for... more
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04/20/15

How many different values are possible for the random variable Y?
involving drawing calculators from a box of working and broken calculators. Assume that the box contains 14 calculators: 12 that work and 2 that do not work. A sample of 3 calculators is selected... more
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04/20/15

How many different values are possible for the random variable X
Assume that the machine yields the item selected 70 percent of the time, and returns nothing 30 percent of the time. Three individuals attempt to use the machine. Let X be defined as the number of... more
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04/20/15

How many different values are possible for the random variable X?
involving the selection of two students from a committee of students. Assume that the committee is made up of 2 males and 5 females. Two are selected at random, and a random variable X is defined... more
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04/15/15

(1) What is the probability that she remembers to bring her briefcase every day in one week (5 days)?
about the professor who sometimes forgets to bring her briefcase to the office, but assume that, each day, the probability that she forgets the briefcase is 1/6. Assume that her forgetting is a... more
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04/15/15

What is the probability that at least one mouse is female, given that exactly one is gray?
Assume that you have 10 mice in the cage: 4 white males, 3 gray females, and 3 gray males. Two mice are selected simultaneously and at random, and their colors are noted.What is the probability... more
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04/15/15

What is the probability that both balls are red given that the first ball you drew was red?
Assume that each bag contains 5 balls. Bag a contains 3 red and 2 white, while bag b contains 1 red, 3 white, and 1 blue. You randomly select one ball from bag a, note the color, and place the ball... more
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04/15/15

What is the probability that at least one inspector will find a defective widget?
Assume that the box contains 2 defective widgets and 10 acceptable widgets. There are 4 inspectors, each of whom selects a widget from the box at random, inspects it, and then replaces it in the... more
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04/10/15

What is the probability that the student attends at least one class on Monday?
involving a student's attendance at math and accounting classes on Mondays. Assume that the student attends math class with probability 0.65, skips accounting class with probability 0.25, and... more
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04/10/15

What is the probability that the Toyota leaves first?
Assume that there are 8 cars: 2 Chevrolets, 5 Fords, and 1 Toyota. Two cars leave at random, one after the other. Draw a tree diagram and use it to answer the following questions.(1) What is the... more
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04/10/15

What is the probability of getting exactly 4 correct answers?
about a multiple-choice test in which each question has 4 choices only one of which is correct. Assume that 9 questions are answered by guessing randomly.What is the probability of getting exactly... more
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Permutations

03/30/15

How many different 3 digit numbers can be made from the digits 1 to 7 if repetition is not allowed and the number must be an even number less than 200
i am unsure about the steps taken to get the answer
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Permutations

03/30/15

How many different 3 digit numbers can be made from the digits 1 to 7 if repetition is not allowed and the number must be an odd number greater than 400
I am not sure about the steps to get the answer
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Permutations

03/24/15

Permutation and Combinations 4
 How many arrangements of the letters of GRACIOUS are there withthe vowels occur consecutively (like GRCAOIUS, not GACRIOUS)? (Lettersdo not need to be in alphabetical order)
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03/07/15

How many of these are less than 5000?
In this version, you are to form a 4-digit number from the digits 1, 2, 3, 4, 7, 8, and 9, using each at most once.   How many of these are less than 5000?
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03/07/15

What is the value of w2?
For this problem, assume that 2, 6, 5, and 4 are equally likely, a 1 is three times as likely as a 4, and a 3 is four times as likely as a 1. (1) What is the value of w2? (2) What is the value of... more
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03/07/15

How many ways can you pick the cars so not all are the same size?
For this problem, assume that you are to pick 4 cars from the motor pool, which contains 7 subcompact cars, 6 compact cars, and 4 midsize cars. How many ways can you pick the cars so not all are... more
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03/05/15

1) What is the value of w2? (2) What is the value of w1? (3) What is the value of w3?
For this problem, assume that 2, 6, 5, and 4 are equally likely, a 1 is three times as likely as a 4, and a 3 is four times as likely as a 1.(1) What is the value of w2? (2) What is the value of... more
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03/05/15

What is the probability they sum to 9, 3, or 6?
involving the sum of two die rolls.(1) What is the probability they sum to 9, 3, or 6? (2) What is the probability they sum to at least 7?
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03/05/15

What is the probability that at least 2 of the dinners selected are pasta dinners?
Assume that there are 15 frozen dinners: 6 pasta, 5 chicken, and 4 seafood dinners. The student selects 5 of them.What is the probability that at least 2 of the dinners selected are pasta dinners?
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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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03/04/15

Finite Homework, need help: permutations, combinations, probability.
1. For this problem, assume the cooler contains 32 cans, 22 of which are regular, and the rest of which are diet. What is the probability of selecting 5 cans from the cooler so that at least 4 are... more
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02/25/15

How many different teams can be selected?
Assume that there are 9 girls and 8 boys in the neighborhood club, and a team of 5 is to be selected.(1) How many different teams can be selected? (2) How many different teams can be selected if... more
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