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

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Question 1035206: Let S be a set with eleven elements. How many 4 element subsets does S have? How many ordered triples (x,y,z) are there belonging to S x S x S such that no two of x, y, and z are equal? Give answers in terms of combination symbols or products (no arithmetic)
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Question 1035252: jason wants to choose 9 players for his track team there are 12 players to choose from. how many different teams can jason make?
Click here to see answer by Amrata1(11) About Me 

Question 1029761: A sales person has 7 products that he wishes to display at a national convention. He can display only four. The order in which he displays the products is immaterial. How many displays does he have to choose from? show working please.

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Question 1035391: Expand (\sqrt{z} + 2z)^4+(\sqrt{z} - 2z)^4.
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Question 1035440: How many four digit even numbers can be formed from the set {0,1,2,3,4,5,6,7} if repetition of digits is not allowed?
A. 1470
B. 750
C. 720
D. 540
Is it right I got 720 from 6*5*6*4?

Click here to see answer by ikleyn(52776) About Me 

Question 1035684: A player in a word game has the letters E, E, B, G, G, G. In how many ways can these letters be arranged?
Click here to see answer by stanbon(75887) About Me 

Question 1035752: Find the number of ways to purchase 5 different kinds of juices from a selection of 10 juices.

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Question 1035991: Five freshmen, 4 sophomores, and 2 juniors are
present at a meeting of students.In how many ways can a six-member committee
be selected with no more than two freshmen
members?

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Question 1035996: Ms. Ling has 14 boys and 17 girls in her third-grade
class. How many ways can she select 2 boys or 2 girls
to make a Thanksgiving poster?

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Question 1036011: Please help me solve just two more questions PLease. Thank you.
1.Eight students are on standby to fly back to school
at the end of spring break. The airline finds it has
space for three of them. How many ways can the
three be selected ignoring who were first to arrive
at the terminal?


2.An ATM keypad has ten keys. A PIN code is entered
by pressing a sequence of four keys.
(a) How many PIN codes are possible if no key is
pressed twice in a code?
(b) How many PIN codes are
possible if a key may be
pressed more than once in
a code?
(c) A bank changes the PIN
codes to a sequence of six
keys. Find the number of
PIN codes possible if a key
may be pressed more than
once in a sequence. Discuss the increase in security
by going to a six-key code.

Click here to see answer by stanbon(75887) About Me 

Question 1036025: An ATM keypad has ten keys. A PIN code is entered
by pressing a sequence of four keys.
A bank changes the PIN
codes to a sequence of six
keys. Find the number of
PIN codes possible if a key
may be pressed more than
once in a sequence. Discuss the increase in security
by going to a six-key code.

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1036090: Concerning a car license plate in the Philippines (3 letters, 3 numbers). How many plates can be formed if the first letter comes from the word statistics, second letter is different from the first, the last letter is consonant, and the digits are all lower than 5?
Click here to see answer by josmiceli(19441) About Me 
Question 1036090: Concerning a car license plate in the Philippines (3 letters, 3 numbers). How many plates can be formed if the first letter comes from the word statistics, second letter is different from the first, the last letter is consonant, and the digits are all lower than 5?
Click here to see answer by Megand19(1) About Me 

Question 1036412: One card is selected from a deck of playing cards. Find the probability that the card is a club and a red card.
Click here to see answer by Aldorozos(172) About Me 

Question 1036452: How many 7-letter arrangements can be created using all of the
letters in the word FLOWERS, if the first letter must be an "R"
and the last letter must be a consonant?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1036426: A license plate is to consist of three digits followed by two uppercase letters. Determine the number of different license plates possible if repetition of numbers and letters is not permitted.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1036416: Lucas must write an essay for three of the five questions in Part 1 and four of the six questions in Part 2. How many different combinations of questions can he answer?
Click here to see answer by Boreal(15235) About Me 
Question 1036416: Lucas must write an essay for three of the five questions in Part 1 and four of the six questions in Part 2. How many different combinations of questions can he answer?
Click here to see answer by ikleyn(52776) About Me 

Question 1036487: 1.there are six employees eligible to be on a three person committee and the manager wantst o know how many different committes are possibel. would the manager use a permutation or combination? expain
2.there are four men and three women eligible for two promotions at a company. if each employee is equally likely to be promoted, what is the probability that both promotions will be given to women? round the answer to the nearest tenth percent.



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Question 1036556: Using the numbers 0, 2, 4, 5, 9, find the total number
of 6-digit numbers that can be written.
Help please :( i don't understand

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1037087: If 25 students attended the seminar with 17 males and 9 females and 1 Prof (Female). What is the probability a female would login?
Click here to see answer by Alan3354(69443) About Me 

Question 1037132: Jane has two coins with a total value of 25 cents. If one of them
is not of 5 cents what is the other?

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Question 1037132: Jane has two coins with a total value of 25 cents. If one of them
is not of 5 cents what is the other?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1037151: If I choose 3 best friends among France, Gwen, Jacque, Jasmin, and Kelly, and choose another 2 best friends among Benedict, JD and John, how many different combinations of best frienda can I have?
A. 8
B. 13
C. 30
D. 360
I got 13, but it said 30?

Click here to see answer by ikleyn(52776) About Me 

Question 1037322: a committee of two tutors and five pupils is to be formed among six tutors and ten pupils in how many way can this be done if 1 particular tutor must be on the committee and two particular pupils must not be on the committee
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1037460: 12 people try out for leading role. how many ways can be chosen for lead role and understudy
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Question 1037588: In how many ways can the letters of the word irrational be arranged

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Question 1037705: Mr. Parrish is making a seating chart for his 15 algebra 1 students. How many different seating charts can he make? (assuming there are only 15 seats) Is this permutation or combination?
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Question 1036733: How many ways can we choose 4 elements (1,2,3,...12) so that exactly one pair of chosen numbers is consecutive?
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Question 1037789: Three women each having two child, they have bought seven tickets tell how they sits each of them separately

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Question 1038067: Ann, Bob, Chris, Dave and Eddy are in a group, how many ways can they be arranged in a row if Ann has to be to the left of Bob but not necessarily beside him.

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1034761: How many ways 10 hats of different colours can be put on the heads of 10 boys sitting in a row,so that the red and black coloured hats can never be put on the heads of any two adjacent boys ?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1038080: A country has 20 teams in division one of its football league. How many matches will have to be played if each team plays every other team?

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Question 1038187: The following uses the five vowels (A,E,I,O,U).
What is the probability that when randomly selecting a permutation of the 26 letters (assumed all uppercase) of the alphabet the following events will occur:

A: The first 13 letters will be in alphabetical order.

E: The first and last letters will be B and Y.

I: The letter I will come before both J and K.

O: The letters O and P will be next to each other.

U: The letters U and V will be separated by at least 23 letters.

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1038222: how many different ways can a teacher line up 24 students for lunch?
Click here to see answer by Alan3354(69443) About Me 

Question 1036712: In a qualifying race for an Olympic road cycling event, 15 men competed for 5 slots. How many different ways could the top 5 slots be arranged if the order in which the men finished mattered?
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Question 1038482: np2= 12np2 find n
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1038624: What are the 21 unique sets of 5 numbers formed from the 7 digits, 1 through 7?
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Question 1039033: How many even integers of four places can be formed from the digits 1,2,3,4,5?

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Question 1039407: We have an urn with 496 marbles of 4 different colors (we don't know the distribution of the colors). If we randomly pick 397 marbles, it is guaranteed that we pick at least one from each color. What is the minimum number of marbles we need to pick, so as to have a guaranteed set of 3 colors?

Click here to see answer by Fombitz(32388) About Me 

Question 1039793: Ten students apply for the position of grader in mathematics. one grader is to be assigned to each of four teachers. In how many different ways can the assignment of graders be if no student grades for two teachers?
Click here to see answer by Aldorozos(172) About Me 

Question 1039296: a committe of 5 people is to be randomly selected from a group of 9 people including zubeda.
the probability that zubeda is selected to be on the 5- person committee is?

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Question 1039937: In how many ways 6 boys can sit on a sofa, if only 3 seets are available?
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Question 1039938: how many ways can 4 boys and 3 girls be sitted in a roll of 7 seats if they can sit anywhere
b. if the boys and girls must alternate

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Question 1040030: One box contain four cards no. 1,3,5 and 6. Another box contains 5 cards numbered 2,4,7,8 and 9. One card is draw from each bag. Find the probability and the sum is prime no

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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, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035