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

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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(75887) About Me 

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?

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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(35256) About Me 

Question 617622: how many 4 digit numbers can be made using the digits 1,3,5,7,9
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Question 617759: C(5,2)
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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(75887) About Me 

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(2983) About Me 

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(24785) About Me 

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(24785) About Me 

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(69443) About Me 

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(75887) About Me 

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) About Me 

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(69443) About Me 

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(20054) About Me 

Question 619061: In how many ways can 40 contestants in a spelling bee finish first through third?
Click here to see answer by ewatrrr(24785) About Me 

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(35256) About Me 

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(7384) About Me 

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(20054) About Me 

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) About Me 

Question 619278: please help me solve this equation (1/x-4/y)/(2/x+5/y)
Click here to see answer by stanbon(75887) About Me 

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(69443) About Me 
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(13342) About Me 

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(24785) About Me 

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(10551) About Me 

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(24785) About Me 

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(69443) About Me 

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(24785) About Me 

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(24785) About Me 

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(24785) About Me 

Question 620429: How many different ways can 6 people sit on a bench?
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Question 620427: Solve and graph on a number line 9x+5-12x<-27
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Question 620454: How many ways can the six jokes about books be delivered if a man's joke is told first?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 620469: An urn contains 8 marbles identical in every aspect except color. There is 1 red marble, 2 green marbles, and 5 blue marbles.You draw two marbles from the urn, but replace the first marble before drawing the second. Find the probability that the first mable is blue and the second is green.

Click here to see answer by ewatrrr(24785) About Me 

Question 620520: How many five-person committees can be selected from nine people
Click here to see answer by jim_thompson5910(35256) About Me 

Question 621021: In how many ways can a softball manager arrange the first four batters in a lineup of nine players? I've looked in my math book many times and the way they put is hard for me to understand.It's like im missing a step put which one? Can you please help me??
Click here to see answer by solver91311(24713) About Me 

Question 621174: How many different 5-digit zip codes are there if no digit is repeated?
Click here to see answer by Alan3354(69443) About Me 

Question 621128: how many 5 people committees are possible from a group of 10 women and 8 men. each committete must have 3women and 2 men.
Click here to see answer by nerdybill(7384) About Me 

Question 621476: 1. In a math class, there are 12 boys and 14 girls. Five of the boys and 8 of the girls wear glasses. A person is chosen at random to be stuffed into cannon and fired through a flaming loop into a pool or tigers and crocodiles. What is the probability that
(a) The person wears glasses?
(b) The person is a boy or the person wears glasses?
(c) The person is a boy and the person wears glasses?
 

Click here to see answer by fcabanski(1391) About Me 

Question 621626: if a coin is tossed 5 times, how many different outcomes are possible?
Click here to see answer by lynnlo(4176) About Me 

Question 621721: There are 6 swimmers in the finals of the backstroke competition.How many different ways can the swimmers finish the race?
Click here to see answer by ewatrrr(24785) About Me 

Question 621807: Let n>4.
In how many ways can we choose 4 vertices of a convex n-gon so as to form a convex quadrilateral, such that at least 2 sides of the quadrilateral are sides of the n-gon?

Click here to see answer by richard1234(7193) About Me 

Question 622256: A computer password consists of 8 characters(letters and digits only)
1.how many have 3 litters and 5 digits?
2.How many have no repetitions?

Click here to see answer by lynnlo(4176) About Me 

Question 622856: Find the number of permutations of seven different flags hung in a row.
Click here to see answer by Alan3354(69443) About Me 

Question 622984: A committee of 12 wants to elect a President, Vice President, Secretary and Treasurer from its membership. How many different ways can this be accomplished?
Click here to see answer by Alan3354(69443) About Me 
Question 622984: A committee of 12 wants to elect a President, Vice President, Secretary and Treasurer from its membership. How many different ways can this be accomplished?
Click here to see answer by nerdybill(7384) About Me 

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