# 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 355704: How many 7 digit phone numbers are avaliable if the first three digitd sre either 345, 286 or 329. Could you please explain using 7!, 3! etc Click here to see answer by sudhanshu_kmr(1152)

 Question 355797: A store is selling 5 types of hard candies: cherry, strawberry, orange, lemon and pineapple. How many ways are there to choose: (a) 24 candies? Answer = (b) 24 candies with at least a piece of each flavor? Answer = (b) 24 candies with at least 2 cherry and at least 2 lemon? Answer = Click here to see answer by sudhanshu_kmr(1152)

 Question 356644: 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 one cat? Click here to see answer by stanbon(57224)

 Question 356734: Four men and their wives sit on a bench.in how many ways can they be arranged Click here to see answer by ewatrrr(10682)

 Question 356906: How many five-digit zip codes contain exactly one zero? Click here to see answer by Fombitz(13828)

 Question 356905: In how many ways can five math books and four novels be placed on a bookshelf if the math books must be together? Click here to see answer by Edwin McCravy(8880)

 Question 356589: how many different arrangements of 7 letters can be formed if the first letter must be W or K? Click here to see answer by nyc_function(2733)

 Question 356928: a test consists of seven questions. any four questions may be selected for answering. in how many ways can this selection be made? Click here to see answer by jim_thompson5910(28476)

 Question 356947: How many different ways are there to arrange 5 people in 5 seats? Click here to see answer by jim_thompson5910(28476)

 Question 356979: Can you please explain to me how exactly you got the answer? 1.) In the 6/53 lottery game, a player picks six numbers from 1 to 53. How many different choices does the player have if repetition is not allowed? Note that the order of the numbers is not important. 2.) 4 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 robertb(4012)

 Question 356977: 1. A coin is tossed 9 times. a) How many different outcomes are possible? b) How many different outcomes have exactly 2 heads? c) How many different outcomes have at least 2 heads ? d) How many different outcomes have at most 5 heads? 2. A pianist plans to play 8 different pieces at a recital. In how many ways can she arrange these pieces in the program? 3. How many three-letter (Error: ’words’ is not defined in this context; see position 1 of formula ’words” can be made from the 10 letters ’)FGHIJKLMNO” if repetition of letters: (a) Is allowed? (b) Is not allowed? can you please explain to me why the answer is the answer? Click here to see answer by edjones(7569)

 Question 356904: Mrs. Smith has twenty children in her class. In how many ways can she choose 4 members and a captain to form a quiz team? Click here to see answer by jsmallt9(3296)

 Question 357068: if you have a class with 30 students. how many ways can you select a committe of 10 students from this class? Click here to see answer by edjones(7569)

 Question 357067: A store is selling 5 types of hard candies: cherry, strawberry, orange, lemon and pineapple. How many ways are there to choose: (a) 34 candies? (b) 34 candies with at least a piece of each flavor? (c) 34 candies with at least 4 cherry and at least 6 lemon? Click here to see answer by edjones(7569)

 Question 357245: if 4-letter "words" are formed using the letters A, B, C,D,E, F,G, how many such words are possible for each of the following conditions: a. no condition is imposed. b. no letter can be repeated in a word. c. each word must begin with the letter A and letters can be repeated. d. the letter C must be at the end and letters can be repeated. e. the second letter must be a vowel and letters can be repeated. Click here to see answer by sudhanshu_kmr(1152)
 Question 357245: if 4-letter "words" are formed using the letters A, B, C,D,E, F,G, how many such words are possible for each of the following conditions: a. no condition is imposed. b. no letter can be repeated in a word. c. each word must begin with the letter A and letters can be repeated. d. the letter C must be at the end and letters can be repeated. e. the second letter must be a vowel and letters can be repeated. Click here to see answer by edjones(7569)

 Question 357275: How many distinguishable words can be formed from the letters of the word "casserole" if each letter is used exactly once? If I told you the answer is 90,720; explain in your own words using complete sentences which formula you used and why (Permutations or Combinations), Click here to see answer by sudhanshu_kmr(1152)

 Question 357242: A computer is printing out subsets of a 5 element set (possibly including the empty set). a. at least how many sets must be printed to be sure of having at least 4 identical subsets on the list? b. at least how many identical subsets are printed if there are 161 subsets on the list? YOUR HELP IS GREATLY APPRECIATED! Click here to see answer by sudhanshu_kmr(1152)

 Question 357334: How many ways can 3 students be assigned a seat in a classroom if there are 11 seats in a row? a.)14 b.)990 c.)39,916,800 d.)33 Click here to see answer by edjones(7569)

 Question 355986: A class must elect a committee of 4 students. There are 20 students in the class. How many different committees are there? Click here to see answer by sudhanshu_kmr(1152)

 Question 355401: How many words can be made using the letters of the word STARTS? How many of theses are palindromes? Click here to see answer by sudhanshu_kmr(1152)

 Question 357429: Using the numbers 1 through 13, how many different combinations of four numbers can I have? Click here to see answer by user_dude2008(1861)

 Question 357784: A particular brand of shirt comes in 11 colors, has a male version and a female version, and comes in 2 sizes for each sex. How many different types of this shirt are made? YOUR HELP IS GREATLY APPRECIATED! Click here to see answer by edjones(7569)

 Question 357967: How many 5 digit license plates can be formed allowing repetition of letters and numbers? Click here to see answer by Fombitz(13828)

 Question 358137: Using the letters of the word YOUNG, tell how many different 5-letter combinations are possible if: a) The first letter must be Y b) The vowels and consonants alternate,beginning with a consonant (Y is a consonanthere and Y does not have to be first) Please help im lost with this question i would appreciate it Click here to see answer by jrfrunner(365)
 Question 358137: Using the letters of the word YOUNG, tell how many different 5-letter combinations are possible if: a) The first letter must be Y b) The vowels and consonants alternate,beginning with a consonant (Y is a consonanthere and Y does not have to be first) Please help im lost with this question i would appreciate it Click here to see answer by Edwin McCravy(8880)
 Question 358137: Using the letters of the word YOUNG, tell how many different 5-letter combinations are possible if: a) The first letter must be Y b) The vowels and consonants alternate,beginning with a consonant (Y is a consonanthere and Y does not have to be first) Please help im lost with this question i would appreciate it Click here to see answer by sudhanshu_kmr(1152)

 Question 358378: a certain town can use the digits 0, 1, 2, 3, 7, and 9 for it's telephone prefixes. how many 3-digit telephone prefixes are possible for this town if each digit can be used only once in a prefix and the first digit cannot be a 1 or a 0? Click here to see answer by edjones(7569)

 Question 358566: How many different arrangements of 9 letters can be formed if the first letter must be W or K (repeats of letters are allowed)? Click here to see answer by Alan3354(30968)

 Question 358883: "In how many ways can 12 objects be split into two groups of 5 and 7 objects respectively?" Click here to see answer by robertb(4012)

 Question 359070: A financial company has determined that the price-to-earnings ratios for 20 randomly selected companies ranges between 0.9 and 2.9. Given that the price-to-earnings ratios are uniformly distributed, what proportion (or per cent) of the price-to-earnings ratios are between 1.90 and 2.48? Click here to see answer by jrfrunner(365)

 Question 359071: Emails arrive at the Dean's office at a rate of 4 per minute. What is the probability that the Dean will receive 2 or more emails over the next minute? (Hint: you need to figure out P (x=0) and P(x=1) to get started.) Click here to see answer by jrfrunner(365)

 Question 359128: A board consists of 3 men and 4 women, How many different ways can they sit in a row where 2 women do not sit next to each other? Click here to see answer by edjones(7569)

 Question 359346: Suppose that a department contains 9 men and 18 women. How many ways are there to form a committee with 6 members if it must strictly have more women than men? Click here to see answer by edjones(7569)

 Question 359337: Every student in a discrete math class is either a computer science or a mathematics major or is a joint major in these two subjects. How many students are in the class if there are 30 computer science majors(including joint majors), 24 math majors(including joint majors) and 9 joint majors? Click here to see answer by checkley77(12569)

 Question 359487: How many strings of 4 lower case English letters are there that have the letter x in them somewhere? Here strings may use the same letter more than once. (Hint: It might be easier to first count the strings that don't have an x in them.) I already know that there is overall a total of 456976 total possabilities if all letters can be used and repeated but i dont know where to go from there Click here to see answer by edjones(7569)

 Question 359442: at a local university 54.3% of incoming first-year students have computers. If 3 students are selected at radom, find the following probabilities. a) all have computers b) none have computers Click here to see answer by edjones(7569)

 Question 359527: what is the probability that an integer from 1 to 10000 is divisible by 10 or 15 Click here to see answer by Fombitz(13828)

 Question 359950: There are 6 children riding on the roller coaster. Each car holds 6 in 3 rows of 2 seats each. How many seating combinations are there? Click here to see answer by edjones(7569)

 Question 359994: Four golf balls are to be placed in six different containers. One ball is red; one, green; one, blue; and one, yellow. a) In how many ways can the four golf balls be placed into six different containers? Assume that any container can contain any number of golf balls (as long as there are a total of four golf balls). b) In how many ways can the golf balls be placed if container one remains empty? c) In how many ways can the golf balls be placed if no two golf balls can go into the same container? d) What is the probability that no two golf balls are in the same container, assuming that the balls are randomly tossed into the containers? thanks Click here to see answer by edjones(7569)

 Question 360137: How many ways can 14 children be paired up for a trip? Click here to see answer by ewatrrr(10682)

 Question 360156: A student is required to work exactly 6 problems from a 10 problem exam and must work exactly 3 of the first 4 problems. In how many ways can the six problems be chosen? Click here to see answer by solver91311(16868)

 Question 360174: Please help me solve this: Jury selection. In how many ways can 12 jurors and 2 alternates be chosen from a group of 20 prospective jurors? Click here to see answer by Alan3354(30968)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780