# 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 360140: In how many ways can a committee of 5 senators be selected from the 100 members of the U.S. Senate so that no two committee members are from the same state? Click here to see answer by sudhanshu_kmr(1152)

 Question 360127: Multinomial Coefficients and Partitions Question: An experiment observes groups of 4 individuals. How many ways can we choose 5 groups of 4 from among 20 subjects. Click here to see answer by robertb(4012)
 Question 360127: Multinomial Coefficients and Partitions Question: An experiment observes groups of 4 individuals. How many ways can we choose 5 groups of 4 from among 20 subjects. Click here to see answer by sudhanshu_kmr(1152)

 Question 360325: In a random arrangement of letters of word VIOLENT how many ways are there that the vowels occupy odd positions only Click here to see answer by Theo(3458)
 Question 360325: In a random arrangement of letters of word VIOLENT how many ways are there that the vowels occupy odd positions only Click here to see answer by Edwin McCravy(8880)

 Question 360323: If the letters of the word " REGULATIONS " be arranged at random, what is the chance that there will be exactly 4 letters between the R and the E Click here to see answer by Theo(3458)

 Question 151446: In how many ways can 10 people be seated at a round table if 3 of them sit next to each other? my answer is 10080. is it correct? Click here to see answer by Ali-aithzaz(4)

 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 sudhanshu_kmr(1152)

 Question 360324: 12 balls are distributed at random among three boxes. How many ways are there that first box will contain 3 balls ? Click here to see answer by sudhanshu_kmr(1152)

 Question 360364: A company sells a product called Make-Your-Doll. it is a toy that consists of three doll bodies, five doll heads, four sets of legs, and two sets of arms. A child assembles the doll he or she wishes to play with. How many complete dolls should be marketing manager advertises that the kit can make if a doll consists of one representative from each of the following groups: body, head, legs, and arms? Click here to see answer by checkley77(12569)

 Question 360483: Hi everyone! Problem: Appetizers Selection - In how many ways can a selection of at most five appetizers be made from menu of seven appetizers? Thank you... Click here to see answer by sudhanshu_kmr(1152)

 Question 360495: Students in a physics class are required to complete at least 2 out of a collection of 8 lab projects. In how many ways can a student satisfy the requirement? Click here to see answer by sudhanshu_kmr(1152)

 Question 360492: A pizzeria offers thin-crust and deep-dish pizzas in 9-, 12-, and 14-inch sizes, with 15 possible toppings. How many different types of pizzas can be ordered? Click here to see answer by ewatrrr(10682)

 Question 360549: customer account numbers for a certain company consists of 3 letters followed by 5 numbers how many different account numbers are possible if repetitions of letters and digits are allowed Click here to see answer by checkley77(12569)

 Question 360605: In a lottery game, one can win \$10,000 with probability 0.01 and \$1000 with probability 0.05. How much should one pay for a lottery ticket to make the game fair? Thanks Click here to see answer by Edwin McCravy(8880)

 Question 360608: An urn contains 14 balls; 6 of them are white, and the others are black. Another urn contains 9 balls; 3 are white, and 6 are black. A ball is drawn at random from the first urn and is placed in the second urn. Then, a ball is drawn at random from the second urn. If this ball is white, find the probability that the ball drawn from the first urn was black. **Well, I know that I have to use the Law of Total Probability and the Bayes'Rule but I don't understand how. So much thanks Click here to see answer by robertb(4012)

 Question 360609: To play a game, one must bet \$100 every time, and the probability of winning \$100 is 1/2. Every day, a person plays uninterruptedly until he loses once. Then, he leaves the game. a) Find the probability that he plays more than four times in one day. b) Find the probability that one day he leaves the game having won \$600 c) Calculate the expected winning per day Thanks Click here to see answer by edjones(7569)

 Question 360041: A department contains 15 men and 18 women. How many ways are there to form a committee with 6 members if it must have strictly more women than men? Click here to see answer by edjones(7569)
 Question 360041: A department contains 15 men and 18 women. How many ways are there to form a committee with 6 members if it must have strictly more women than men? Click here to see answer by sudhanshu_kmr(1152)

 Question 360842: Car Showroom: Car dealership has 20 different models, which 8 are two-door, 12 are four-door vehicles. How many ways can manager choose 3 of the two-door and 2 of the four-door models for a show? Click here to see answer by edjones(7569)

 Question 360841: Hi everyone; Pizza Options: A Pizzeria offers thin-crust and deep-dish 9, 12, and 14-inch sizes, with 15 possible toppings. How many different types of pizzas can be ordered? Thanks Click here to see answer by edjones(7569)

 Question 361069: can i get a step by step on how to work out this problem -(5-17+14-33-6x7)/(4-21-13+14) please Click here to see answer by unlockmath(1599)

 Question 361853: How many ways are there to distribute 20 district object into 10 distinct boxes with i)At least two empty box. ii)No empty box. Note:it is questiuon form assignments of Discrete mathmatics.(MCS013) Click here to see answer by robertb(4012)

 Question 361866: A chemist of a distillery experimented of two alcohol solution of different strength, 35% alcohol and 50% alcohol, respectively. how many cubic meters of each strength must be use in order to produce a mixture of 60 cubic meters that contain 40% alcohol? Click here to see answer by robertb(4012)

 Question 361864: In a certain community of 1,200 people, 60% are literate. Of the males, 50% are literates and of the females 70% are literate. What is the female population? Click here to see answer by checkley77(12569)

 Question 362370: A five character password consists of one letter from the word HELP, followed by four digits which may be 1, 2, 3, 4. If the digits may be used more than once, how many more passwords can be made than if the numbers are used only once? Click here to see answer by sudhanshu_kmr(1152)

 Question 362452: A gardener will plant 3 yellow tulips, 2 red tulips, and 4 purple tulips along a straight path. How many different arrangements can she make? Click here to see answer by HasanSahin(52)
 Question 362452: A gardener will plant 3 yellow tulips, 2 red tulips, and 4 purple tulips along a straight path. How many different arrangements can she make? Click here to see answer by sudhanshu_kmr(1152)

 Question 361903: Given the word ALABAMA, how many distinguishable permutation or orders exist? Click here to see answer by sudhanshu_kmr(1152)

 Question 361887: A committee of ten is to be chosen from nine men and six women. In how many ways can it be formed if at least four women are to be on the committee. Click here to see answer by sudhanshu_kmr(1152)

 Question 87547: How may different 5-digit numbers that are odd and less than 50,000 can be formed using the digits 2,3,4,5,6,7 and 8 without repetition? Click here to see answer by kapheine(1)
 Question 87547: How may different 5-digit numbers that are odd and less than 50,000 can be formed using the digits 2,3,4,5,6,7 and 8 without repetition? Click here to see answer by sudhanshu_kmr(1152)

 Question 362680: From a group of ten people, can you form more committees of 2 or more different commitees of eight? This is a puzzler for my math class and I am aproaching if from the veiw that there are more different commitees of eight rather than 2. Because one can be in more committtes if there is eght people. Am I even on th eright track? Click here to see answer by edjones(7569)

 Question 362784: Find the number of combinations of 3 representatives of congressional Click here to see answer by Manny Pacquiao(82)

 Question 357246: A bit is a 0 or a 1. A bit string of length 7 is a sequence of 7 digits, all of which are either 0 or 1. a. how many bit strings of length 7 are there? b. how many bit strings of length 7 or less are there? (count the empty string of length zero also) Click here to see answer by collegegirl11(1)

 Question 363767: 9 people are going on trip in 3 cars that hold 2,4 and 5 passengers respectively, in how many ways is it possible to transport 9 people to location using all 3 cars ? Click here to see answer by robertb(4012)

 Question 156301: there are 4 men and 4 women to be seated in a row, and no 2 men or 2 women can sit next to each other. How many combinations of seating are there? Click here to see answer by Ali-aithzaz(4)

 Question 159546: there are five students, they are A, B, C, D, and E. They are want to sit down on the chair. how many ways the five students can sit if A must beside B? Click here to see answer by Ali-aithzaz(4)

 Question 364046: hello, I can't seem to get the right answer for this problems? 1) A California license plate consists of a number from 1 to 5, then three letters followed by three digits. How many such plates are possible? 2) How many permutations of the letters of the word PROBLEM end in a vowel? Click here to see answer by amoresroy(333)
 Question 364046: hello, I can't seem to get the right answer for this problems? 1) A California license plate consists of a number from 1 to 5, then three letters followed by three digits. How many such plates are possible? 2) How many permutations of the letters of the word PROBLEM end in a vowel? Click here to see answer by edjones(7569)
 Question 364046: hello, I can't seem to get the right answer for this problems? 1) A California license plate consists of a number from 1 to 5, then three letters followed by three digits. How many such plates are possible? 2) How many permutations of the letters of the word PROBLEM end in a vowel? Click here to see answer by robertb(4012)

 Question 364047: Suppose 9 cards are numbered with the 9 digits from 1 to 9. A 3-cards hand is dealt ,1 card at a time .How many hands are possible where: a) Order is taken into consideration? b) Order is not taken into consideration? Click here to see answer by edjones(7569)

 Question 364069: How many different ways can a group of 3 dogs and 2 cats be chosen if a pet store has 10 dogs and 8 cats? Click here to see answer by vasumathi(46)

 Question 364075: a boy have 5 coins each of different denominations. How many different sums of money he can form ? Its answer is 31 plz help Click here to see answer by Sphinx pinastri(17)
 Question 364075: a boy have 5 coins each of different denominations. How many different sums of money he can form ? Its answer is 31 plz help Click here to see answer by sudhanshu_kmr(1152)

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