# Questions on Algebra: Combinatorics and Permutations answered by real tutors!

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 Algebra: Combinatorics and Permutations Solvers Lessons Answers archive Quiz In Depth

 Question 351397: how many seating arrangements are possible for 5 children and their mother in a 9 seat van if the mother must be the driver? Click here to see answer by sudhanshu_kmr(1152)

 Question 352191: In how many ways can a committee of 7 be formed if there are 10 dogs and 15 cats to choose from and the committee must consist of at least 1 cat? Click here to see answer by ewatrrr(10682)

 Question 352189: In how many ways can a committee of 7 be formed if there are 10 dogs and 15 cats to choose from and the committee must consist of exactly 3 dogs and 4 cats? Click here to see answer by ewatrrr(10682)

 Question 352201: A survey of 51 pet owners revealed that 24 owned dogs, 28 owned cats, 11 owned turtles, 12 owned both dogs and cats, 7 owned both dogs and turtles, 3 owned both cats and turtles, and 2 owned all three. How many pet owners owned none of the following pets? Click here to see answer by rfer(12654)

 Question 352428: How many possibilities are there for a jumble with 6 letter? I tried this by doing 6x5x4x3x2x1=720 Did I do this right? Click here to see answer by jim_thompson5910(28536)
 Question 352428: How many possibilities are there for a jumble with 6 letter? I tried this by doing 6x5x4x3x2x1=720 Did I do this right? Click here to see answer by Alan3354(30993)

 Question 352450: The music class has 20 students & the teacher wants them to practice in groups of 5. How many different ways can the first groups of 5 be chosen? we are doing permutations & combinations. I came up with 1,860,480 or 38,760. im not sure which one is the right answer if any. Click here to see answer by Alan3354(30993)

 Question 352458: A hamburger place has 25 different toppings. You can have a hamburger with upto 5 different toppings. Assume no toppings are used more than once, how many different choices are available? I did this by 25x24x23x22x21= 6,375,600 Did I do this right? Click here to see answer by jim_thompson5910(28536)

 Question 352464: A test consists of 15 true-false questions. In how many ways can the test be completed? Click here to see answer by jim_thompson5910(28536)

 Question 352489: If you had to match 6 players in the correct order for most popular outfielder from a pool of professional players numbered 1 through 49, how many possibilities are there? Click here to see answer by edjones(7569)

 Question 352488: In day camp, 6 children are picked to be team captains from the group of children numbered 1 through 49. How many possibilities are there for who could be the 6 captains? Click here to see answer by edjones(7569)

 Question 352504: Find the number of ways to draw a six-card hand with three cards of one suit and three cards of a second suit. Click here to see answer by robertb(4012)

 Question 352524: Find how many 4-digit numbers can be formed from the digits 2,4,6,7 and 9, without repetitions of digits. if one of these numbers are chosen randomly, find the probability that is a) greater than 7000 b)an even number c)greater than 7000 and an even number then, find the probability that one of the 4-digit numbers formed, chosen at random, has a value greater than 7000 or is an even number Click here to see answer by robertb(4012)

 Question 352623: How many ways can eight pictures be arranged on a shelf? Click here to see answer by Alan3354(30993)

 Question 352716: ed has a sercurity code with 1 letter and 2 numbers 0-9 how many different ways can he set his code Click here to see answer by Fombitz(13828)

 Question 352388: 10 people line up for a photo, including you and your friend. How many line arrangements are there if the photographer insists on keeping 3 people in between you and your friend? Click here to see answer by nyc_function(2733)

 Question 353236: In how many different ways can three finalists be selected from 15 job applicants for a second round interview? Click here to see answer by ewatrrr(10682)

 Question 353237: Fifteen dogs enter a Goofy Dog contest. In how many different ways can a champion, a first runner-up, and a second runner-up be selected? Click here to see answer by sudhanshu_kmr(1152)

 Question 353234: In how many ways can three different math books and four different English books be arranged in a row if the books for each subject are placed together? Click here to see answer by sudhanshu_kmr(1152)

 Question 353232: A quiz consists of 5 multiple-choice questions, each has three posssible answers. In how many different ways can the quiz be answered if an answer is chosen for each question? Click here to see answer by sudhanshu_kmr(1152)

 Question 352991: a computer with an old processor locks up if more then 4 applications are running simultaneously.If the ower has 20 application stored in his program file,how many different sets of 4 can he run,so that his computer does not lock up? Click here to see answer by sudhanshu_kmr(1152)

 Question 353273: A survey of 51 pet owners revealed that 32 owned dogs, 38 owned cats, and 3 owned neither cats nor dogs. How many owned cats and dogs? Click here to see answer by sudhanshu_kmr(1152)

 Question 353697: How many ways can a president and treasurer be selected if their are 10 members Click here to see answer by Alan3354(30993)

 Question 354019: In a classroom there are seven girls and five boys. A group of 3 girls and two boys are to be chosen. How many differnt possibilities are there? Click here to see answer by stanbon(57282)

 Question 352200: A survey of 51 pet owners revealed that 32 owned dogs, 38 owned cats, and 3 owned neither dogs nor cats. How many owned both dogs and cats? Click here to see answer by sudhanshu_kmr(1152)

 Question 352882: your band has written 11 songs and plans to record 5 of them for a cd. In how many ways can you arrange the songs on the cd? Click here to see answer by sudhanshu_kmr(1152)

 Question 352196: In how many ways can 10 letters: 2 C's, 3 D's, and 5 F's be awarded to 10 politicians, one letter for each politician? Click here to see answer by sudhanshu_kmr(1152)

 Question 354237: How many ways can 6 students sit in 3 seats in a row ? Click here to see answer by ewatrrr(10682)
 Question 354237: How many ways can 6 students sit in 3 seats in a row ? Click here to see answer by sudhanshu_kmr(1152)

 Question 354500: A spinner has 10 selections numbered 1-10. If the spinner is spun once what is the probability that it lands 2? Click here to see answer by robertb(4012)

 Question 354647: 3 dice of different colors are rolled, and the number coming up on each die is recorded. How many different outcomes are possible? Click here to see answer by Edwin McCravy(8893)

 Question 354634: A true-false test contains 21 questions. In how many different ways can the 21-question test be answered? Click here to see answer by sudhanshu_kmr(1152)

 Question 355343: how many different ways can 5 people arrange themselves in the 5 seats of a car if only 2 can drive Click here to see answer by edjones(7569)

 Question 355395: the password for a computer system consists of three letters fallowed by three numbers (0 through 9). if a letter or number cannot be repeated, how many different passwords are possible? Click here to see answer by checkley77(12569)

 Question 355507: Hi, I am trying to figure out how combinations/groupings work. If you could give me the steps on how to do it, I would greatly appreciate it. Thank You, Jordan Click here to see answer by sudhanshu_kmr(1152)

 Question 355687: There are 10 true-false questions and 20 multiple choice questions from which to choose a ten question quiz. How many ways can the quiz be selected if there must be six true-false questions and four multiple choice questions? Click here to see answer by Theo(3458)

 Question 355699: How many 7 digit phone numbers are avaliable if the first three digitd sre either 345, 286 or 329 Click here to see answer by Fombitz(13828)

 Question 355706: In a certain lottery there are 49 numbers to choose from and 6 numbers can be chosen. In how many ways can the numbers be chosen? Please explain using 49!, ^! etc Click here to see answer by jrfrunner(365)