123 Answered Questions for the topic Permutations
permutation and combination. Please read the description
The burger shop offers cheese, lettuce, tomato, and pickles. Assuming that you are not concerned about where the toppings are, how many different ways can you order?
security codes are made of 3 letters followed by four single digit numbers
security codes are made of 3 letters followed by four single digit numbers. How many different 7 character security codes can be made if none of the letters can repeat and the first digit must be odd? more
There are 4 letters A B C and D. Each letter have 3 variety of color Red, Yellow and Green. So basically the letters goes as red A, yellow A, green A, red B, yellow B, green B red C, yellow C,... more
Permutations Permutation And Combination
5 Roles; 10 People Audition; How Many Combinations?
The drama teacher at your high school is holding auditions for a small play with only 5 roles. If ten people try out, how many different ways can the roles be assigned?
Permutation of a word
The word "abstemious" contains 5 vowels a, e, i, o, u in alphabetical order. how many permutations of this word have the vowels in alphabetical order?
Permutation question below
A club has 30 members under the age of 30 and 40 members who are 30 or older. In how many ways can a slate of 6 officers be chosen if the President and atleast one other officer must be at least 30... more
I'm studying for a math test I have in an hour and I don't understand this problem
in Italy, most car and motorcycle license plates consist of 2 letters, followed by 3 digits, followed by 2 letters [DZ 694 TP] <- (looks like that). Determine the number of license plates... more
I have a math test on the counting principle and permutations but I don't understand this question.
ATM codes: to use an automated teller machine, you generally must enter a four digit code, using the digits 0-9 how many four digit codes are possible if repetition of digits is permitted? The... more
Permutations Word Problem
How many ways can 3 math books, 5 chemistry books, and 7 physics books be arranged on a shelf, if the books of each subject must be kept together
I need help on this question Please. How many ways can 3 math books, 5 chemistry books, and 7 physics books be arranged on a shelf, if the books of each subject must be kept together
Question: There are 6 boys and 8 girls in a drama club. Determine the number of ways to select 1 male lead and 1 female lead for a school play.
Permutation & Combindation
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
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?
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
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
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
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
(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
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
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
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
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
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
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
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
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