# 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 480986: If a club has 13 members, how many ways can a board of 3 officers be chosen Click here to see answer by ewatrrr(10682)

 Question 481067: A student is asked to answer 8 out 12 questions on an exam. In how many ways can she select the questions to be answered Click here to see answer by jorel1380(2518)

 Question 481077: there are 20 people in the room and i need to make a committee of 6 of them. each member is equal. in how many ways can this be done? Click here to see answer by stanbon(57984)

 Question 481076: A club with 27 members is to select five officers:President, Vice President, Secretary,Treasurer, and Historian. In how many ways can this be done? Click here to see answer by stanbon(57984)

 Question 481157: Evaluate the expression (10/4)(5/4)(4/1) Click here to see answer by ewatrrr(10682)

 Question 481100: A student is asked to answer 10 out of 13 questions on an exam. In how many ways can she select the questions to be answered? Click here to see answer by ewatrrr(10682)

 Question 481167: In how many ways can 6 people made to stand in a line ? Click here to see answer by ewatrrr(10682)

 Question 481291: How many permutations are there of the following word. MATHEMATICS Click here to see answer by jorel1380(2518)

 Question 481312: Many states offer personalized license plates. California, for example allows personalized plates with seven spaces for numerals or letter, or one of four symbols. What is the total number of license plates possible using this counting scheme? (assume that each available space is occupied by numeral, letter, symbol, or space. Give the answer in scientific notation, round the first number to two decimal places. Click here to see answer by Alan3354(31538)

 Question 481431: How many even 4-digit numbers can be made using 0, 2, 3, 5, 6, 9 if no repeats are allowed? Click here to see answer by kingme18(98)

 Question 481500: A certain class has 6 girls and 5 boys. Four of these students are to line up in the front of the room, with two girls on either end and two boys in between. How many such arrangements are possible? Click here to see answer by jorel1380(2518)

 Question 481554: A student is asked to answer 9 out of 13 questions on an exam, In how many ways can she select the questions to be answered? Click here to see answer by Alan3354(31538)

 Question 481905: A pizza place offers 4 different cheeses and 10 different toppings. In how many ways can a pizza be made with 1 cheese and 4 toppings? Click here to see answer by ewatrrr(10682)

 Question 481932: 1. How many 6-digit numbers containing 3,2 & 1 (repitition allowed)? 2. How many 6-digit numbers containing two 0, two 1 & two 2 can be constructed(number must not begin with 0) 3. How many 4-digit numbers in terbary numeral system containing two 0, can be constructed? (number must not start with zero.) Click here to see answer by josmiceli(9819)

 Question 482206: What is the sum of the first 2,000 consecutive odd numbers? Tell whether it illustrates inductive or deductive reasoning. Click here to see answer by Alan3354(31538)

 Question 482207: A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results are below. How many are not using any of the three? 36 said they drove alone. 30 rode in a carpool. 32 rode public transportation. 6 used both carpool and public transportation. 4 used both a carpool and sometimes their own cars. 8 used buses as well as their own cars. 3 used all three methods. I don't have a clue as to how to solve this. Please help!! Click here to see answer by Edwin McCravy(8999)

 Question 482473: Using the letters in the word MATH, how many 4 letter combinations can you make? Click here to see answer by Edwin McCravy(8999)

 Question 482573: A combination lock is set up in the office. The keypad is set up with numbers 0-9 and you know the combination is a 4 digit combo. You also know that numbers are not repeated in the combination. How many different combinations of 4 can be created? Click here to see answer by caloy(2)

 Question 482597: Jenny is making a necklace. In how many ways can 5 beads chosen from 8 be threaded on a string? Click here to see answer by stanbon(57984)

 Question 482649: . In a town I am looking to move to I found the total number of crimes was 256 and of those crimes 34 were murders. What is the percentage of murders and how did you get the answer Click here to see answer by cleomenius(959)

 Question 482651: There is a living room suit for \$999.99 and I get 20% off. After taking discount I must pay 7% sales tax, what is the total cost for the living room suit with discount and tax and how did you get the answer Click here to see answer by cleomenius(959)

 Question 482650: If I get 33% off of \$90, how much do I pay for the \$90 worth of clothes I buy and how did you get the answer Click here to see answer by cleomenius(959)

 Question 482648: If there are 12 guys and 19 girls what is the percentage are girls in the class and how did you get the answer?? Click here to see answer by cleomenius(959)

 Question 482666: Translate into an algebraic expression: Find the area of a rectangle with length of 3x and width of 2x. Click here to see answer by cleomenius(959)

 Question 482736: How many possible outcomes can come out from a 4 digit code that has 10 possible digits and can repeat. And what are the outcomes as a list? Click here to see answer by stanbon(57984)

 Question 482920: A SKYDIVING CLUB HAS 30 MEMBERS.THE CLUB MEMBERS JUMP IN PAIRS.HOW MANY DIFFERENT PAIRS OF SKYDIVERS ARE POSSIBLE. Click here to see answer by stanbon(57984)

 Question 482825: 5 digits 100 digit is 2 more then my tens digit, my ones digit is 4 more then my thousands, the sum of my number is 8 Click here to see answer by ankor@dixie-net.com(15747)

 Question 483173: 1.I make 5,000 more then 2 times Jack? How do I make this a algabraic equation? Click here to see answer by stanbon(57984)

 Question 483194: Hi, here's the question, "how many ways can 3 student representatives be chosen from 100. Here's my work: 100C3 = 100•99•98•97! / 3! 97! But the answer didn't come out right Click here to see answer by stanbon(57984)

 Question 483116: I have two questions the first questions is there are three highways from city A to city B, two highways from city B to C, and four highways from city C to D. How many different highway routes are there from city A to city D? the second question is In how may distinct ways can the letters of the word SCIENCE be arranged? Click here to see answer by edjones(7569)

 Question 483314: Please show me step by step solution, every way I try to do it, it comes out wrong. I'm going crazy now!!! ANYBODY! THANK YOU evaluate the expression (10) (5) (4) (5) (4) (1) Click here to see answer by Alan3354(31538)

 Question 483360: Question: A club consists of 16 men and 19 women. In how many ways can they choose a president, vice president, treasurer, and secretary, along with an advisory committee of six people? Comment: I think this is a matter of a permutation (the election of the positions) and a combination (the election of the committee), but I don't know how to solve them together. Can you help? Click here to see answer by jorel1380(2518)

 Question 483548: there are 10 alphabets a, b, c, d, e, f, g, h, i, j. How many arrangements are there where in 'a' precedes 'b' and 'c' precedes 'd'. Click here to see answer by sudhanshu_kmr(1152)

 Question 483058: I am running a league of 40 players in groups of 5 I need combinations of 5 that do not repeat so all players play against each other once. using 8 days over 2 weeks i will get through 40 players. so 1 round= 2 weeks i think i will need 9.75 rounds to complete this league 780 matches in total. i am very week at mathmatics so any help would be appreciated Click here to see answer by sudhanshu_kmr(1152)

 Question 483850: A shipment of 11 printers contains 2 that are defective. Find the probability that a sample of 4 printers, drawn from the 11, will not contain a defective printer. Click here to see answer by stanbon(57984)

 Question 483874: 10 kids are arranging themselves in 3 different seats(in order). How many ways can they arrange themselves? Click here to see answer by stanbon(57984)

 Question 484084: you have a total 27 members, 7 more of them are male. how many males do you have? Click here to see answer by jim_thompson5910(28717)

 Question 484245: In a shipment of 11 CD players, two are defective. Find the probability that a sample of 3 CD players will contain no more than one defective one. Click here to see answer by Tatiana_Stebko(1326)

 Question 484752: 1) how many 6 digits telephone numbers are there that begin with 21 and that contain 4 or 3? Click here to see answer by sudhanshu_kmr(1152)

 Question 484735: a class of 15 students 5 of them are female. How many ways can you select a group of 4 males Click here to see answer by Tatiana_Stebko(1326)

 Question 484302: How many possible eight character passwords can be created using only uppercase letters and numbers? Since there's 26 different upper case letters and 10 different numbers, I think I should take 8 to the power of 260 (which is 26 times 10) but I'm not sure. Click here to see answer by sudhanshu_kmr(1152)

 Question 484339: 1) A telephone number consists of seven digits. How many different telephone numbers exist if each digit appears only one time in the number? How would I solve this type of problem? Click here to see answer by sudhanshu_kmr(1152)

 Question 485788: if i have 8 creatures and some have 4 legs and others have 6 legs and all the legs add up to 36. how many of each kind of creature can i have? solving two ways Click here to see answer by Edwin McCravy(8999)

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