# 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 274645: Seating in a Movie Theater How many different ways can 5 people--A,B,C,D and E-- sit in a row at a movie theater if (a) A and B must sit together; (b) C must sit to the right of, but not necessarily next to B; (c) D and E will not sit next to to each other? Thank you, Click here to see answer by Edwin McCravy(8906)

 Question 274742: how many ways can you choose 3 different letters from the alphabet to arrange on a car tag? Click here to see answer by stanbon(57290)

 Question 274970: There are 5 places in a event. Each place can be won by a man or women. What are the outcomes? Click here to see answer by dabanfield(803)

 Question 276324: Consider a political discussion group consisting of 6 Democrats, 4 Republicans, and 3 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting an Independent and then a Democrat. Click here to see answer by edjones(7569)

 Question 276952: 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 edjones(7569)

 Question 276981: 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 edjones(7569)

 Question 276980: 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 edjones(7569)

 Question 276988: In how many different ways can a panel of 12 jurors and 2 alternates be chosen from a group of 20 prospective jurors? Click here to see answer by edjones(7569)

 Question 276989: A student planning her curriculum for the upcoming year must select one of five business courses, one of three mathematics courses, two of six elective courses, and either one of five history courses or one of three social science courses. How many different curricula are available for her consideration? Click here to see answer by solver91311(16877)

 Question 277145: how many six digit numbers... a. contain 7 at least once b. start and end with a 7 c. have alternating 7 and non 7 digits Click here to see answer by Edwin McCravy(8906)

 Question 277765: In how many ways can a 10-question multiple-choice test be answered if there are four choices for each question? Click here to see answer by richwmiller(9135)

 Question 277994: A set D is a subset of set C provided that Answer At least one element of c is not an element of D At least one element of d is not an element of C Every element of D is an element of C Every element of c is an element of D Click here to see answer by Edwin McCravy(8906)

 Question 278002: how many sequences are possible for the last four digits of a social security number and the calculation for it? Click here to see answer by edjones(7569)

 Question 277993: An exam contains 5 multiple-choice questions, each having 4 possible answers. In how many different ways can the exam be completed? Answer C(5, 4) 5 square 4 4 square 5 5-4-3-2 Click here to see answer by edjones(7569)

 Question 278532: A PIN code has 3 letters. How many different PIN codes are possible if 3 of the same letter are not allowed (like AAA), but two of the same are allowed (AAB,ABA and BAA)? Click here to see answer by nyc_function(2733)

 Question 278516: How many 3 letter arrangements are possible using the 26 letters of the alphabet if no letter can be used more than once? Click here to see answer by checkley77(12569)

 Question 278592: rewrite as a numeral. Three and twenty-five ten-thousandths Click here to see answer by rfer(12657)

 Question 278591: if an automobile license plate contains 3 numbers followed by 3 letters, how many different license plates are possible? Click here to see answer by rfer(12657)

 Question 278601: in a shipment of 11 CD players, two are defective. Find the probability that a sample of 2 CD players will not contain any that are defective. Click here to see answer by edjones(7569)

 Question 278890: How many different sandwiches can you make if you can choose exactly four items out of six? Click here to see answer by Grinnell(63)
 Question 278890: How many different sandwiches can you make if you can choose exactly four items out of six? Click here to see answer by Alan3354(30993)

 Question 278962: Complete the following: (a) 1400 ft2 = _________ yd2 (b) 1/9 yd3 = _________ ft3 (c) 4.5 lb = _________ oz (d) 32 °C = _________ °F Click here to see answer by checkley77(12569)

 Question 279948: How many four-letter codes can be formed using the letters A, B, C, D, E, and F? Repeated letters are allowed. Click here to see answer by Alan3354(30993)

 Question 280037: a box contains 7 large red marbles 5 large yellow marbles 3 small red marbles and 5 small yellow marbles. if a marble is drawn at random what is the probability that is yellow, given that it is one of the large marbles Click here to see answer by checkley77(12569)

 Question 280036: abelardo wants to create several different 7-charcater screen names. he wants to use arrangements of the first 3 letters of his first name (abe), followed by arrangements of 4 digints in 1984, the year of his birth. how many different screen names can he create in this way? Click here to see answer by checkley77(12569)

 Question 279464: you are choosing a computer password. The password has 3 lowercase letters followed by 2 digits....how many passwords are possible if there are no restrictions? Click here to see answer by brucewill(101)

 Question 281090: In how many different ways can a 10-digit number be arranged using five 5's and five 5's? Click here to see answer by Alan3354(30993)

 Question 281084: you are hosting a dinner party where there will be 14 persons. your main table seats 10 and 4 people will need to sit at an auxiliary table. how many possibilities do you have for selecting 4 people to sit at the auxiliary table? Click here to see answer by checkley77(12569)

 Question 281082: you are hosting a dinner party, where there will be 8 persons at a table that seats 8. how many different ways are there to seat the people? 8 persons at a table that seats 10? Click here to see answer by edjones(7569)

 Question 281269: an accounting manager wants to form a three person committee from the 16 employees in the department, how many ways can the manager do this? thanks Click here to see answer by Edwin McCravy(8906)

 Question 281338: There is a class of 20 with 13 boys and 7 girls. A) how many ways are there to form a committee of 3 boys and 3 girls? B) A committee will be formed by randomly selecting 6 persons. what is the probability that the committee will have 3 boys and 3 girls Click here to see answer by stanbon(57290)

 Question 281343: how many 4 card hand can you make out of a deck of card Click here to see answer by stanbon(57290)
 Question 281343: how many 4 card hand can you make out of a deck of card Click here to see answer by Edwin McCravy(8906)

 Question 281378: If you have 4 bathing suits, 5 towels, and 2 bathing caps. How many different combinations of 1 of each can you make? Click here to see answer by graphmatics(170)

 Question 281377: If you have 4 bathing suits, 5 towels, and 2 bathing caps. How many different combinations of 1 of each can you make? Click here to see answer by subudear(55)

 Question 281379: If you have 4 bathing suits, 5 towels, and 2 bathing caps. How many different combinations of 1 bathing suit, 1 towel, and 1 bathing cap can you create? Click here to see answer by edjones(7569)

 Question 281322: suppose a license plate consists of five different letters. a) How many five-letter license plates are possible? b) In how many ways can a five-letter license plate be made with the letters from APRIL if none of the letters are repeated? c) suppose a license plate is assigned randomly. What is the probability that it will contain the letters from APRIL? Click here to see answer by edjones(7569)

 Question 281626: What is the number of possible license plates that do not contain a “B” or a “D”? Click here to see answer by richwmiller(9135)

 Question 281958: P(x) = x^3-6x^2+11x-6, 3 is a zero, find all zeros Click here to see answer by richwmiller(9135)

 Question 282023: HOW many ways can 4 textbooks be chosen from 8 textbooks in a locker? Click here to see answer by Edwin McCravy(8906)

 Question 282452: How many sets of four numbers can be chosen from a collection of ten, without regard to order? For example, if I have a set of integers 1 through 10, a subset of four might be 1,2,3,and 4. If I count that as one possible subset, then I do not count 4,3,2,and 1, since I am not concerned with order. Thanks. Click here to see answer by user_dude2008(1861)

 Question 282563: How many different license plates can be formed by one letter followed by 2 numerals? The two numerals may be the same. Click here to see answer by user_dude2008(1861)

 Question 282559: a student has 2 small books, five medium sized books, and three large ones. If all the books are different, how many ways can they be arranged on a shelf so that all books of the same size are together. Click here to see answer by checkley77(12569)

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