# 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 467195: a group of 3 men and ladies is to be selected from a group of 5 men and 6 ladies. What is the probability that a particular man will not be in the group and a particular lady will be in the group Click here to see answer by stanbon(57246)

 Question 467463: 4. In a group of 12 students, 5 are female, four are taking four classes, and three are females taking four classes. If one student is selected at random, find the probability that the student is female or taking four classes Click here to see answer by jorel1380(2518)

 Question 467672: a textbook search committee is considering 12 books for adoption.the committee has decided to select 4 of the 12 for further consideration.in how many ways can it do so? Click here to see answer by stanbon(57246)

 Question 467690: how many ways can you arrange A-F with a consonant at one end, and a vowel at the other? we answered other similiar problems using factorials Click here to see answer by ccs2011(207)
 Question 467690: how many ways can you arrange A-F with a consonant at one end, and a vowel at the other? we answered other similiar problems using factorials Click here to see answer by sudhanshu_kmr(1152)

 Question 468190: Each Thursday, Alan takes a break from studies and eats dinner with his grandparents. On one occasion, his choice for dessert is peppermint or vanilla ice cream with chocolate, strawberry, caramel, or pineapple topping. (a) How many ways can Alan choose one flavor of ice cream and one topping? 1 ways (b) How many ways can Alan choose one flavor of ice cream and two toppings? Click here to see answer by edjones(7569)

 Question 468604: assume that a password to log onto a computer account is to consist of any 4 digits or letters (repetition is permitted). Determine the number of passwords possible if the letters are not case sensitive. Click here to see answer by jorel1380(2518)

 Question 468943: find the average of the following sets of intergers. 1. -71,49,-232,58,-64 2. 778,-229,12,-78 Click here to see answer by Alan3354(30983)

 Question 469440: how many ways we can arrange 10 seats and 10 students? Click here to see answer by ccs2011(207)

 Question 469582: How many ways are there to choose a committee of 7 people from a group of 10 people? Click here to see answer by stanbon(57246)

 Question 470319: In how many ways can 12 athletes be awarded a first-place medal, a second place medal, and a third-place medal?a. 56 b. 336 c. 21 d. 3 In how many different ways can a student choose 3 out of 8 problems to complete on a take-home exam?a. 33 b. 1320 c. 220 d. 1728 If event A is certain to occur, what is P(A)? a. 0.25 b. 0.5 c. 0 d. 1 Click here to see answer by ewatrrr(10682)

 Question 470521: If I have one hotdog and a possible 11 toppings. How many topping combinations can I get? Click here to see answer by stanbon(57246)

 Question 470633: in how many way can a group of 7 choose a committie of 4 Click here to see answer by ewatrrr(10682)

 Question 470672: 1) The freshman class has 300 students. Each freshman must write three reports from a list of 18 novels that the teacher has assigned them to read. How many different combinations of novels can a freshman student choose to write reports on? 54 816 4,896 2)How many possible three-digit passwords can be formed using digits 1 through 9 if no digits are repeated? 27 504 729 3)In how many different ways can you answer a multiple choice test that has four questions and five choices for each answer? 205 625 1024 Click here to see answer by ewatrrr(10682)

 Question 471480: If the club is sending 3 members to a convention, how many different groups of 3 members are possible? Click here to see answer by Tatiana_Stebko(1326)

 Question 471631: A) If a club has 13 members, how many ways can a board of 3 officials can be chosen with individual mittens? B) If 2 cards are drawn from a 52 card deck without replacing it, what is the probability of drawing a Jack and a 10? C) Given a box with 2 purple, 6 red, and 9 green, what is the probability of randomly drawing a match? D) A friend gave you 100 lottery tickets for your birthday. The probability of winning a prize is .012. What is the probability that you will have at least 2 winning tickets? Click here to see answer by edjones(7569)

 Question 466748: Out of 8 persons in a group find tha number of ways of selecting 3 persons and also tha number of way of arranging these 3 selected persons in a row Click here to see answer by sudhanshu_kmr(1152)

 Question 471907: Given a box with 2 purple, 6 red, and 9 green, what is the probability of randomly drawing a match Click here to see answer by richard1234(5390)

 Question 472026: A test consists of 30 problems and students are told to answer any 10 of these questions. In how many different ways can they choose the 10 questions? Click here to see answer by edjones(7569)

 Question 472388: on a 10 problem test how many ways can a person get 9 problems correct and 1 problem wrong Click here to see answer by Alan3354(30983)

 Question 472664: Dear math teacher, I really need help with the following word problem: There are 4 hooks on a wall. In how many ways can 3 coats be hung on them, one coat on a hook? I solved it several times and was kind of sure of an answer but my book says 24, and I got 12. Here is how I did it: 4 times Permutation of taking 3 coats and hanging them one at a time because we have 4 hooks. That gives me 12 ways. I also drew a picture of coat 1, coat 2, and coat 3, and started hanging each coat on hook 1, 2, 3, and 4 making a tree below each coat. Each tree gave me 4 ways to hand a coat on a hook, and for 3 coats, I simply added 4 + 4 + 4 ways = 12 ways. So, I got the same answer twice. But then, I did permutation of taking 4 hooks and hanging 3 coats on them and I got 16 ways but this does not make sense because units to the left of permutation must match the units to the right of permuation and I have 4 hooks to the left and 3 coats to the right, so I knew that's is the wrong approach. This kind of reassured me that the first two approaches are correct. Please help me figure out this problem. I would really appreciate it. Thank you so much. And have a wonderful day. Click here to see answer by edjones(7569)

 Question 472700: find the sum of all 5 digit numbers can be formed with digits 0,1,2,3,4,repated will not allowed. Click here to see answer by richard1234(5390)

 Question 472794: An examination paper contains 12 different questions of which 3 are on trigonometry, 4 are on algebra and 5 on calculus. Girls are asked to answer 8 questions. Calculate: i) the number of different ways in which a girl can select 8 questions if there is no restriction, ii) the number of these selections which contain questions on only 2 of the 3 topics,trigonometry, algebra and calculus. *Please answer as soon as possible bro :) Click here to see answer by stanbon(57246)

 Question 472796: A fashion magazine runs a competition, in which 8 photographs of dresses are shown, lettered A, B, C, D, E, F, G and H. Competitors are asked to submit an arrangement of 5 letters showing their choice of dresses in descending order of merit. The winner is picked at random from those competitors whose arrangement of letters agrees with that chosen by a panel of experts. (i) Calculate the number of possible arrangements of 5 letters chosen from the 8. Calculate the number of these arrangements (ii) in which A is placed first, (iii) which contain A. *Please answer as soon as possible bro :) Click here to see answer by sudhanshu_kmr(1152)

 Question 472866: There is a committee of exactly 8 men and 5 women. find the number of ways of obtaining exactly 4 men Click here to see answer by stanbon(57246)
 Question 472866: There is a committee of exactly 8 men and 5 women. find the number of ways of obtaining exactly 4 men Click here to see answer by ewatrrr(10682)

 Question 472891: This question has five answer choices. Select the best one of the answer choices given. 16. The figure shows a normal distribution with mean m and standard deviation d, including approximate percents of the distribution in each of the six regions shown. For a population of 800,000 subway riders, the numbers of subway trips taken per rider last January are approximately normally distributed with a mean of 56 trips and a standard deviation of 13 trips. Approximately how many of the riders took between 30 and 43 trips last January? A 60,000 B 110,000 C 160,000 D 210,000 E 270,000 Drawing a picture of the the distribution table will solve this. Click here to see answer by edjones(7569)

 Question 472881: An artist is invited to exhibit 4 new paintings and 3 new sculptures at a gallery space. If the artist has 7 paintings and 5 sculptures from which he must pick the artworks he will exhibit, how many different possible combinations of paintings and sculptures does he have from which to choose? Click here to see answer by edjones(7569)

 Question 473010: A voice teacher selects 9 students to line up on stage. There are 11 men and 12 women. She puts 5 men in the middle with two women on each end. How many ways can this be done? Click here to see answer by sudhanshu_kmr(1152)

 Question 473008: Twenty people attend a meeting where 4 different door prizes are awarded by drawing names. (a) if a name is drawn and replaced for the next drawing, in how many ways can the door prizes be awarded? Click here to see answer by sudhanshu_kmr(1152)

 Question 472998: One student representative is selected from each of four clubs. In how many different ways can four students be selected, given the following number of members. Rodeo Club, 40 members; Kite Club, 27 members; Frisbee Club, 85 members; and Conoeing club, 34 members. Click here to see answer by sudhanshu_kmr(1152)

 Question 473072: How many ways can four couples be seated in a row of eight seats? (a)if couples are seated together? Click here to see answer by ewatrrr(10682)

 Question 473039: 4 digit numbers to be formed out of the figures 0,1,2,3,4( no digit is repeated) then number of such members is Click here to see answer by sudhanshu_kmr(1152)

 Question 473038: the number of 4 digit numbers greater than 5000 can be formed out of the digits 3,4,5,6 and 7( no. digit is repeated). the number of such is Click here to see answer by sudhanshu_kmr(1152)

 Question 473157: There are eight members in a club. In how many different ways can a president, vice president, and treasurer be chosen? Click here to see answer by Alan3354(30983)
 Question 473157: There are eight members in a club. In how many different ways can a president, vice president, and treasurer be chosen? Click here to see answer by stanbon(57246)

 Question 473249: two women have to be selected from 9 women. the total number of possible ways is what? Click here to see answer by jim_thompson5910(28504)

 Question 473365: How many increasing permutation of m symbols are there from the set of n numbers{a1,a2,...,an}where the order among the numbers is given by a1 < a2 < a3... < an? Click here to see answer by Edwin McCravy(8882)

 Question 473366: There are stalks for animals in a ship.In how many ways the shipload can be maid if there are cows,calves,horses to be transported,animals of each kind being not less than 12? Click here to see answer by stanbon(57246)

 Question 473466: Find the number of seven digit numbers that can be formed from the two digit set {0,1}. Click here to see answer by stanbon(57246)

 Question 473465: I need to know the formula to find the answer to the following questions: In how many ways can 8 people sit around a round table? and using all the prime numbers less than 10 how many four-digit even numbers can be made if repetition is not allowed. Click here to see answer by stanbon(57246)