# 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 94236: how do you evaluate 10! / 4! * 6! ? Click here to see answer by Nate(3500)

 Question 94351: find the number of permutations of the first 8 letters of the alphabet for each situation. taking 3 letters at a time Click here to see answer by jim_thompson5910(28704)

 Question 94372: find the number of permutations of the first 8 letters of the alphabet for each situation. taking all 8 letters at a time Click here to see answer by jim_thompson5910(28704)
 Question 94372: find the number of permutations of the first 8 letters of the alphabet for each situation. taking all 8 letters at a time Click here to see answer by stanbon(57956)

 Question 95385: I need help with this problem: There is someone who needs change for a dollar. Using nickles, dimes, &/or quarters, how many possable combonations to make a dollar are there?; I need an easier way to figue this out. BTW I am a 7th grader in Pre-AP Pre-Algebra so I'm going to bookmark this page. Click here to see answer by scott8148(6628)

 Question 96329: How many possible batting combinations are there on a nine man baseball team and how do I figure out such a possibilitie? Click here to see answer by checkley71(8403)

 Question 97969: How many 5 letter code words can be formed from the letters in OUTFIELD if no letter is repeated and the last letter is a vowel? I don't know how to solve the problem and making the last letter a vowel, it's been irking me for a while. Any help will be appreciated! Click here to see answer by stanbon(57956)

 Question 97971: How many different automobile license plates can be made if each plate has a letter followed by three digits? Click here to see answer by stanbon(57956)

 Question 98520: How many 5 digit number exist between 10,500 and 11,000 if no digit may be repeated? I answered 120 - 5x4x3x2x1 = 120 on a quiz and it was counted incorrect. The teacher said that the answer was 210 but did not explain what I did wrong. Help! I'm trying to study for the test now and I can't figure it out. Click here to see answer by jim_thompson5910(28704)

 Question 99010: A license consists of 1 letter followed by 1 digit followed by 1 digit followed by 3 letters. Assuming no resrictions, which expression shows how many licenses can be issued? A- (26)(10)(25)(24)(23) B- (26)(10)(25)(25)(25) C- (26)(10)(26)(25)(24) D- (26)(10)(26)(26)(26) Thanks in advanced for anyone that helps. Click here to see answer by stanbon(57956)

 Question 99083: Word problem - HELP!! You have 15 paint colors to choose from. There are only four rooms in the house that need painting - in how many ways can you choose which color paint to use?? Makes no sense - help Thanks Click here to see answer by Adam(64)

 Question 99374: Dont get this at all - The variable Z varies jointly with x and y. Use the given values to write an equation relating x, y, and z. Then find Z when x = -4 and y = 7. The equation would be z = kxy - right??? Now x = 1, y = 1/3, z = 5 x = -6, y = 3, z = 2/5 Dont know what to do at all HELP Click here to see answer by stanbon(57956)

 Question 99923: The emergency room at Victory hospital employs eight male and ten female nurses. A special Triage unit of six nurses is being formed. In how many ways can this be done if: a): The unit must have three males and three females? b): The unit must have at least one female nurse? Thanks... Steve Click here to see answer by stanbon(57956)

 Question 102452: How many whole numbers between 1 and 100000 have addition of the digits equal the 6? Thanks! Click here to see answer by Edwin McCravy(8999)

 Question 103080: How many ways can seven people be seated in a row if two of them refuse to sit next to each other? Click here to see answer by stanbon(57956)

 Question 102827: Determine the number of six-digit integers ( no leading zeros) in which the six-digit integer is i) even with no repetitions ii) divisible by 5 no repetitions. For the 1st one I thought the last number could only be chosen in 5 ways then that would leave 9 numbers to choose from. 1st number can't be 0 so it can be chosen in 8 ways leaving 8 numbers as the choice for the 3rd number 7 for the 4th 6 for the 5th number. I came up with 67,200 as the answer but the book has 68,880. Where did I go wrong? Click here to see answer by Fombitz(13828)

 Question 103736: i'm having trouble understanding what the formula should be for this problem/statement. Three roses are to be placed in a vase. the color choices are red,pink,white,yellow, and orange. what is the probability that 3 roses selected at random will not include red? Click here to see answer by stanbon(57956)
 Question 103736: i'm having trouble understanding what the formula should be for this problem/statement. Three roses are to be placed in a vase. the color choices are red,pink,white,yellow, and orange. what is the probability that 3 roses selected at random will not include red? Click here to see answer by edjones(7569)

 Question 103819: in how many ways can 4 boys and 2 girls be seated if i)the 2 girls are to seat next to eachother ii)the 2 girls are not to seat next to eachother Click here to see answer by Edwin McCravy(8999)

 Question 104927: Employee health care plans. A new employee has a choice of 5 health care plans,3 retirement plans, and 2 different expense accounts. If a person selects one of each option, how many different options does he or she have? Click here to see answer by Fombitz(13828)

 Question 105934: OK i need to work out the price that we were beaten by to win some jobs with a particular client. I'll give 3 examples, and what I am after is a fixed formula so I can work out what was quoted by our opposition each time. Example#1: We won the job, quoting \$1550. The variation % is 0.00% Example#2: We have lost this job. Our quote \$590. Variation 100%, therefore I calculate the winning quote to be \$295. Example#3: Our Quote: \$2145. Variation: 50% Would the winning quote be \$1430? Example#4: our quote: \$2435. Variation: 35.12% Example#5: Our quote \$330. Variation: 65.0% Can someone come up with a formula that works everytime? Thanks Kathy Click here to see answer by scott8148(6628)

 Question 106501: The problem is : Five computers are to be wired in a linear network, as in the following figure; ______ ______ ______ ______ ______ (Symbolizing five computers side by side) How many permutations of the five computers are possible? Thanks a lot for your help!!! Click here to see answer by checkley75(3666)

 Question 106508: The problem is: A computer with an old processor locks up if more than 4 applications are running simultaneously. If the owner has 20 applications stored in his program file how many diferent sets of 4 can he run, so that his computer does not lock up? Please help me. Thanks alot Click here to see answer by stanbon(57956)

 Question 106757: How many ways can a committe of 7 people be selected from a group of 15 people Click here to see answer by jim_thompson5910(28704)

 Question 106759: How many ways can a committe of 7 people be selected from a group of 15 people Click here to see answer by Earlsdon(6294)

 Question 108242: Simplify (5x^2y)(-4xy^2)(-x^3y^3) i would be very glad if you could answer this question it is for help on a paper we get for geometry called a CPR thank you for your help and i would appreciate an answer ASAP this CPR is due tomorrow Tuesday November 6th thank you Click here to see answer by stanbon(57956)

 Question 109090: How do you calculate the percentage of aluminum in an alloy while using NH as a constant to the formuls NH= (%Al/100 x 0.0556) + (%zn/100 x 0.0153). chapter-analysis of an aluminum-zinc alloy isbn-049501141 Click here to see answer by scott8148(6628)

 Question 110244: 7X7 square consisting of 1x1 squares. How many different squares can be made inside the 7X7? Click here to see answer by edjones(7569)

 Question 110283: 7X7 square consisting of 49 1x1 squares. How many total squares can be made (1x1, 2x2, 3x3, etc) Click here to see answer by wgunther(43)

 Question 110661: In how many different ways can a panel of 12 jurors and 2 alternate jurors be chosen from a group of 28 prospective jurors Click here to see answer by stanbon(57956)

 Question 111638: how many permutations of the five computers are possible? Click here to see answer by checkley71(8403)

 Question 112442: how many different ways can someone arrange 8 books on a shelf? Click here to see answer by checkley71(8403)

 Question 112636: A. How many 10-digit phone numbers in the 972 area code have at least one repeated digit? B. How many 7-digit phone numbers in the 972 area code have at least one 1 and at least one 3 among its digits? Note: 0 or 1 can not be used as the first digit. Click here to see answer by Edwin McCravy(8999)

 Question 113745: You have a jar of red marbles and a jar of yellow marbles. You take several(any number you like) red marbles and transfer them to the yellow marble jar and mix them in. Then you randomly take the same number of marbles as you took before, but this time from the yellow(mixed)jar, and transfer them to the red jar. Which of the following is true? a) there are now more red marbles in the yellow jar than there are yellow marbles in the red jar. b)there are more yellow marbles in the red jar than there are red marbles in the yellow jar. c)the number of reds in the yellow jar equals the number of yellows in the red jar. Using either algebraic and diagram with word eexplanation, show why your choice of answers above is correct. Click here to see answer by checkley71(8403)