# 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 750030: How many different committees of 3 people can be chosen to work on a special project from a group of 7 people? Click here to see answer by tommyt3rd(405)

 Question 749782: A library has 8 tables and 42 chairs. There are several small tables with 4 chairs each and some large tables with 6 chairs each. How many tables of each type are in the library? Click here to see answer by stanbon(57214)

 Question 749537: If there is 14 people in a spelling bee how many ways can there be first second or third? Click here to see answer by timvanswearingen(82)

 Question 749386: Plz some1 help me to solve this problem: An 8 litre cylinder contains a mixture of oxygen and nitrogen, the volume of oxygen being 16% of the total volume. A few litres of the mixture is released and an equal amount of nitrogen is added. Then the same amount of the mixture as before is released and replaced by nitrogen for the second time. As a result, the oxygen content becomes 9% of the total volume. How many litres of mixture is released each time? Click here to see answer by ankor@dixie-net.com(15622)
 Question 749386: Plz some1 help me to solve this problem: An 8 litre cylinder contains a mixture of oxygen and nitrogen, the volume of oxygen being 16% of the total volume. A few litres of the mixture is released and an equal amount of nitrogen is added. Then the same amount of the mixture as before is released and replaced by nitrogen for the second time. As a result, the oxygen content becomes 9% of the total volume. How many litres of mixture is released each time? Click here to see answer by lynnlo(4155)

 Question 749388: plz help me: Directions for Q1 to 3: In a famous short-time game named CROSS, each player puts a mark (O OR x) one by one inside a 3x3 grid (9 slots). Two players face the following situation in between the game. A player will put his mark in a line such that: (a) it already contains two of his own marks (for winning) (b) it already contains two of the opponents marks (for saving the game) It is known that player always gives priority to Winning over saving. 1. What could be the mark of the person who started the game? A) X B) O C) X or O D) Data insufficient 2. The player who wins the match uses which mark? A) X B) O C) X or O D) Data insufficient 3. Probability of A (with symbol O), winning the game if both players freely mark anywhere? A) 0.76 B) 1 C) 0.5 D) 0.33 Click here to see answer by lynnlo(4155)

 Question 749394: Q15 In how many ways can we distribute seven apple and six oranges among 4 children so that each children receive at least one apple? Q16 From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done? Q17 A committee of 7 consisting of a chairman, vice chairman, a secretary, and 4 other member is to be chosen from a class of 20 students. In how many ways can this committee be chosen? Q18 Weave and Kline, a software development company, has received nine new user requirement regarding a new computer system. In how many ways can these new user requirements be directed to three of the company's software developers if each of the software developers has to handle three new user requirements? Q19 A restaurant has 6 different desserts. Find the number of ways a customer can choose a. 1 dessert b. 2 of the desserts Q20 Given a class of 12 girls and 10 boys a. In how many ways can a committee of five consisting of 3 girls and 2 boys be chosen? b. What are the possible committees of five can be chosen at random from the class, consists of three girls and two boys? c. How many of the the possible committees of five have no boys? (i.e. consists only of girls) Click here to see answer by lynnlo(4155)

 Question 749359: the number of ways of arranging 5 women and 4 men so that the row begin and end with women Click here to see answer by tommyt3rd(405)

 Question 749248: Six different books will be displayed in the library window. How many different arrangements are there? Click here to see answer by solver91311(16868)

 Question 749128: Can someone help me with this problem: Putting together notes for final. MUT SHOW WORK. Bless your heart. Find the number of combinations when 13 objects are taken 4 at a time. AND Evaluate: P(1,5) Click here to see answer by solver91311(16868)

 Question 748941: In what proportion should water & wine be mixed to reduce price of wine from Rs. 150 to Rs.120/litre ? Click here to see answer by stanbon(57214)

 Question 748781: there are 9 women and 7 men in our class. how many different 4 person committees are possible if we want an equal number of men and women on the committees? Click here to see answer by tommyt3rd(405)

 Question 748711: Can you please help me with this question? Two dice are rolled. What is the probability the sum of the two dice will be a prime number? Click here to see answer by stanbon(57214)

 Question 748710: Can you please help me with this word problem? Nikki has a collection of 32 CDs, 18 r&b, and 14 hip hop. As she is leaving for a trip, she randomly chooses 6 CDs to take with her. What is the probability that nikki selects 3 r&b and 3 hip hop cds? Answer has to be 4 decimal places! Thank you so much!! Click here to see answer by stanbon(57214)

 Question 748639: Seven flute players are listed in the program in random order. How many different ways can the names be listed Click here to see answer by tommyt3rd(405)

 Question 748336: how many ways can you buy two software titles from a choice of 12 ? Click here to see answer by tommyt3rd(405)

 Question 748260: If there are 12 appetizers and 7 entrees, how many different Special Dinners are there? Click here to see answer by timvanswearingen(82)

 Question 748167: There are seven finalists for two scholarships. Four of them are girls and three of them are boys. In how many ways can the scholarships be awarded to one boy and one girl? Click here to see answer by tommyt3rd(405)

 Question 748088: How many different three-letter codes can be formed out of the word PEPPER? Is that both a combination and permutation problem? Click here to see answer by stanbon(57214)

 Question 748021: In how many ways can three student-council members be elected from five candidates? Click here to see answer by tommyt3rd(405)

 Question 747976: How many different combinations of clothes can you make if you have 2 pairs of pants, 4 shirts, and 3 jackets Click here to see answer by JoeTaxpayer(73)

 Question 747960: There are 20 members in a club. Five people are selected to go to the state conference. In how many ways can the five members be selected? Methods tried: 20P5= 5!/(20-5)! Thank you for your help Click here to see answer by JoeTaxpayer(73)

 Question 747836: Five friends are waiting in a line. How many different ways can they arrange themselves in that line? Click here to see answer by tommyt3rd(405)

 Question 747755: The number of ways in which 8 sweats of different sizes can be distributed among 8 persons of different ages so that the largest sweat goes to the younger assuming that each one of them gets a sweat Click here to see answer by stanbon(57214)

 Question 747608: How many permutations of 4 different letters are there, chosen from the twenty six letters of the alphabet (repetition is not allowed)? Click here to see answer by checkley79(3039)

 Question 747619: In how many ways can the word "TOPO" be arranged Click here to see answer by tommyt3rd(405)

 Question 747595: how many teams of three can you make from a class of 27? Click here to see answer by Alan3354(30939)

 Question 747596: Six students ran a race. How many ways can they finish 1st, 2nd, and 3rd? Click here to see answer by Alan3354(30939)

 Question 747303: how many ways can you arrange 6 students in the front row if there are 30 total students? Click here to see answer by mikeebsc(26)
 Question 747303: how many ways can you arrange 6 students in the front row if there are 30 total students? Click here to see answer by stanbon(57214)

 Question 747297: In Minnesota, license plates have 3 letters followed by 3 numbers or vice versa. You can repeat no more than two letters in any order. How many possible license plates are there? Must show all work, can someone please assist me? Click here to see answer by stanbon(57214)

 Question 747176: out of 2250 parts of the earth is sulphur. The percentage of sulphur in the earth is ? Click here to see answer by ankor@dixie-net.com(15622)

 Question 163408: I need to figure out how many possible milkshake combinations there can be with 64 ingredients. No ingredient can be used more than once in a combination and there is a max of 5 ingredients per combination. Thanks for your help. Click here to see answer by Levski123(6)

 Question 151913: HOW MANY FOUR DIGIT NUMBERS CAN BE FORMED FROM 1,2,3,4,5,6,7 WHICH IS GREATER THAN 3400? Click here to see answer by Levski123(6)

 Question 746985: Determine wheter each situation involes a permutation or a combination arrrange of 15 DVD's on a shelf Click here to see answer by mikeebsc(26)
 Question 746985: Determine wheter each situation involes a permutation or a combination arrrange of 15 DVD's on a shelf Click here to see answer by jim_thompson5910(28476)

 Question 746416: A box contains 10 discs: 5 yellow, 3 blue, 2 green. Two discs are selected without replacement. What is the probability that the first disc was blue given that the second disc was blue? I keep getting the wrong answer and I don't understand why. Thank you! Click here to see answer by Cromlix(269)

 Question 746789: A bag has 3 red and 5 purple marbles. One is drawn out at random and not replaced. Then a second marble is drawn out at random. What is the probability that the first marble is purple and the second is red? Click here to see answer by Cromlix(269)

 Question 746487: "Determine how many different computer passwords are possible if the given number of digits (0-9) and the letters (A-Z) can be repeated and cannot be repeated." 5 digits followed by 2 letters Repeated: Not repeated: I tried an example for repeated - 2-2-2-2-2-B-B but am not sure if that is correct or how to finish the problem. Thank You. Click here to see answer by Alan3354(30939)

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