Questions on Algebra: Combinatorics and Permutations answered by real tutors!

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Question 615989: if i have 5 pants and 3 shirts how many combinations can i make
Click here to see answer by jim_thompson5910(28717)

Question 616200: In how many ways can 3 boys and 2 girls sit in a row?
In how many ways can they sit in a row if the boys and girls are each to sit together?
In how many ways can they sit in a row if just the girls are to sit together?
Click here to see answer by ewatrrr(10682)

Question 616317: From a group of 7 men and 5 women, a 4 person committee is chosen. what is the probability that all 4 are men or all 4 are women
Click here to see answer by ewatrrr(10682)

Question 616562: Each letter stands for a different dight. There are 25 possible solutions, how many can you find
Click here to see answer by Edwin McCravy(8999)

Question 616645: how many ways can the teacher select 5 multiple choice and 3 free responses questions from a question bank that contains 15 multiple choice and 6 free responses
Click here to see answer by stanbon(57984)

Question 616769: Determine whether the following are permutations or combinations?
1. Assigning students to their seats on the first day of school.
2. Selecting three students to represent the school at a Honor Society conference in Washington D.C.
Click here to see answer by jim_thompson5910(28717)

Question 617052: Warricks watch gains one minute every 4 hurs. He sets his Watch to the correct time at 8 am on Monday as he is going to work.
What is the real time when his watch shows 8pm on Wednesday?
Click here to see answer by lwsshak3(6770)

Question 617063: In how many ways can three students be seated in a row of three seats?
Click here to see answer by ewatrrr(10682)

Question 617092: 6 people are going to play a ball game. Each team has 3 players. How many different team combinations are possible?
Click here to see answer by ewatrrr(10682)

Question 617216: A reading list for your English classcontains 20 books. a)How many different sets of four books can you choose from the list to read over Spring Break?
b)In how many different orders can you read these four books?
Is answer a) 20P4 =116280 is answer b) 20C4=4845 ????
Click here to see answer by stanbon(57984)

Question 617218: Please help me solve this problem Thank you :
Find the number of ways of choosinga hand of seven cards from a standard deck of cards consisting of four cards from one suit and three cards from another suit.

My guess is 13C4*13C3 ????
Click here to see answer by Edwin McCravy(8999)

Question 617226: Find the number of ways of selecting the winner and first, second, and third runner up in a contest with 10 finalist.
is the answer 10c4=210
Please help Thank you
Click here to see answer by nerdybill(7011)

Question 617233: Please help solve Thanks
Each question on a five-question multiple choice quiz has answer choices labeled A,B,C,and D. How many different ways can a student answer the five questions?
Is the answer 5*4=20 or 5P4=120 or ????
Click here to see answer by sudhanshu_kmr(1152)

Question 617430: How many ways can a president and vice-president and vice-president be selected in a class of fifteen students?
Click here to see answer by stanbon(57984)

Question 617429: in how many ways can 10 different books be arranged on a shelf if there is room for
A: all 10 Books?
B. for only 7 Books?
Click here to see answer by stanbon(57984)

Question 617424: in how many ways can 5 different kittens be lined up for a calendat Photograph?
Click here to see answer by jim_thompson5910(28717)

Question 617622: how many 4 digit numbers can be made using the digits 1,3,5,7,9
Click here to see answer by stanbon(57984)

Question 617759: C(5,2)
Click here to see answer by stanbon(57984)

Question 617829: Hi- I would like to find out how to work a this problem. I have one similar to it but rather then just figure out the answer - I would like to know how to work it.
Five pets are competing in a best pet contest. Nighty children vote and the pet with the most votes will win. What is the smallest number of votes that a pet could receive and still win the contest?
Click here to see answer by stanbon(57984)

Question 618311: If 0 is not being used and only two of the digits are even,how many 5-digit codes can be formed with no repetition allowed?
Click here to see answer by vleith(2825)

Question 618325: Last year, the personal best high jumps of track athletes in a nearby state were normally distributed with a mean of 205 cm and a standard deviation of 13 cm. What is the probability that a randomly selected high jumper has a personal best between 205 and 231 cm?
Click here to see answer by ewatrrr(10682)

Question 618333: Last year, the personal best high jumps of track athletes in a nearby state were normally distributed with a mean o 205 cm and a standard deviation of 13 cm. What is the probability that a randomly selected high jumper has a personal best between 205 and 231 cm?
Click here to see answer by ewatrrr(10682)

Question 618468: what if i had a choice between 5 flavors of ice cream 3 toppings and with or without nuts i dont know how to solve that excatly
Click here to see answer by Alan3354(31538)

Question 618483: How many combinations of 4 numbers can be made from the set of numbers {2,4,6,7,8,9}

a group consists of 6 men and 4 women. If a committee of 5 people is formed, find the number of combinations of the committee that has 3 men and 2 women.
Click here to see answer by stanbon(57984)

Question 618482: seven boys and 8 girls want to participate in a school play. In how many ways can a cast be selected if it must have 4 boys and 5 girls.
Click here to see answer by scott8148(6628)

Question 618863: I am helping my second grade daughter with fractions UGH here is the question a mom puts out 7 sandwiches for 4 boys to share each boy gets one fourth of 7 sandwiches how many sandwiches does each boy get?
Click here to see answer by Alan3354(31538)

Question 618887: Can someone tell me if I am doing this correctly?
The Question: On a certain computer system, passwords consist of any four letters or digits (0,1,2,3,4,5,6,7,8,9). Letters and digits cannot be repeated in a password. How many passwords are possible?

What I have done:
(10)(9)(8)(7)=5,040
(26)(25)(24)(23)=358,800
5,040*358,800= 1,808,352,000
Could that possible be correct?? If not, what am I missing? THANK YOU!!!!
Click here to see answer by Edwin McCravy(8999)

Question 619061: In how many ways can 40 contestants in a spelling bee finish first through third?
Click here to see answer by ewatrrr(10682)

Question 619065: A teacher selects 3 students from the 22 students in a physics class to represent Your school at the science fair. In how many different ways can the teacher choose?
Click here to see answer by jim_thompson5910(28717)

Question 619063: How many possible security codes can be made using 4 digits followed by 3 letters if (a) digits and letters can be repeated and (b) digits and letters can not be repeated?
Click here to see answer by nerdybill(7011)

Question 619192: 1. RANK the following four rules from MOST combinations to LEAST combinations. Explain how you know. (Intuition is good, but math is better!)
Password must be 8 lowercase letters. No numbers.
Password must be 6 letters but they may be lowercase or uppercase. No numbers.
Password must be 4 characters - either uppercase, lowercase, or numbers.
Password must be 10 letters, but each character must alternate between an UPPERCASE letter and a number.
2. How many ways are there to rank the options?
Click here to see answer by Edwin McCravy(8999)

Question 619244: in how many ways can a four letter set of words be formed using the vowels, a,e,i,o,u, assuming that repetitions are allowed?
n = 5
r = 4
nCr = 5!/r!(n-r)!
5! = 120
4! = 24
n-r = 1
nCr = 120/24*1 = 5
Is the problem with the 5?
This can't be right
Click here to see answer by scott8148(6628)

Question 619278: please help me solve this equation (1/x-4/y)/(2/x+5/y)
Click here to see answer by stanbon(57984)

Question 619271: how do you get better in knowing if the problem is permutation and combination and how do you know what numbers to use for each
Click here to see answer by Alan3354(31538)

Question 619271: how do you get better in knowing if the problem is permutation and combination and how do you know what numbers to use for each
Click here to see answer by Theo(3504)

Question 619426: Sixteen problems are written on cards one per card.They are three categories
Of problems :True-False(6Problems),Multiple Choice (7problems) & Word Problem
(3problems).Two cards are selected at random.Find the probability that the two problems are in
Different categories..
I did this but dont get the right answer C(6,2) x C(6,2) x C(4,2) / C (16,2)
What am I doing.wrong?
Click here to see answer by ewatrrr(10682)

Question 619898: I'm making a childrens book on combinations and permutations but I dont know how to imput a combination intp microsoft word the closet i can get to it is
(4)
(2)
----
(9)
(2)
help me please!

Click here to see answer by MathTherapy(1484)

Question 620239: If you plan to take English, history and science, and your school has 4 sections of English, 5 sections of history and 3 sections of science, how many different class schedules could you have?

Click here to see answer by ewatrrr(10682)

Question 620243: If the club decides to send 5 members to the convention, how many different groups of 5 are possible?

Click here to see answer by Alan3354(31538)

Question 620438: you have 5 shirts , 6 ties ,and 4 pair of dress pants . how many ways can you choose an outfit ?
Click here to see answer by ewatrrr(10682)

Question 620447: How many ways can you arrange 8 people in a row for a photograph? (Points : 1)

630
5040 <======= My Answer
20,160
40,320
Click here to see answer by ewatrrr(10682)

Question 620445: Eleven people enter a pie-eating contest. Which expression can be used to determine how many ways prizes for the top three people can be awarded?

3P11
11P3
14P3 <======My Answer
14P11
Click here to see answer by ewatrrr(10682)

Question 620429: How many different ways can 6 people sit on a bench?
Click here to see answer by ewatrrr(10682)

Question 620427: Solve and graph on a number line 9x+5-12x<-27
Click here to see answer by lynnlo(4169)

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, 3781..3825