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

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Question 623027: On an English test, Tito must write an essay for three of five questions in Part 1, and four of six questions in Part 2. How many different combinations of questions can be chosen?
Click here to see answer by jsmallt9(3758)

Question 623361: A commitee of 6 members is formed out of 7 men and 5 women.how many commitees can be formed so that at least 1 woman is always on the commitee?
Click here to see answer by ewatrrr(24785)

Question 623734: There are ten members in a club. How many different ways can a president, vice president, and a treasurer be chosen?
Click here to see answer by ewatrrr(24785)

Question 623640: How many different sandwiches can you make if you can choose exactly three items out of seven?

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Question 623856: a boy is taking a matching test in which he is supposed to match 4 answers with a questions. In how many ways can he answer the 4 questions
Click here to see answer by Emsley(35)

Question 623971: A committee is to consist of two members. If there are four men and seven women available to serve on the committee, how many different committees can be formed?
Click here to see answer by ewatrrr(24785)

Question 624009: If there are three ways of going from A to B, and four ways of going from B to C, how many ways are there from A to C via B ?
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Question 624063: how many different codes of 4 digits are possible if the first digit must be 3,4, or 5 and if the code may not end in 0?
Click here to see answer by Alan3354(69443)

Question 624068: a card is picked at random from a standard deck of 52 playing cards. Find the odds that it is not a heart?
Click here to see answer by edjones(8007)

Question 624026: You have a bag filled with a large amount of 5 cent, 10 cent, and 25 cent coins. In how many distinct ways can you make the sum of $1 out of these coins? There are enough of each kind to make all needed combinations.
(A) 25 (B) 26 (C) 27 (D) 28 (E) 29
Please explain in detail how to solve this question! Thanks!
Click here to see answer by solver91311(24713)

Question 624070: A delivery route must include stops at four cities. How many different routes are possible?

Click here to see answer by math-vortex(648)

Question 624513: In how many ways can five people line up to get on a bus, but two of the people refuse to stand next to each other?
Click here to see answer by Edwin McCravy(20054)

Question 624437: Using the digits 1,2,3,4,5 only once .how many numbers greater than 41000 can be formed?
Click here to see answer by KMST(5328)

Question 624438: Using the digits 1,2,3,4,5 only once .how many numbers greater than 41000 can be formed?
Click here to see answer by Edwin McCravy(20054)

Question 624977: A single die is rolled five times, and the number of fours that come up is tallied. Find the probability of getting exactly two fours. (I want to know how to set it up to get me answer and the answer so that i can fill in the numbers that leads to that answer)
Click here to see answer by sudhanshu_kmr(1152)

Question 625516: You buy a computer with 5 choices of color, 9 choices of monitor size, 12 choices of harddrive size, and either a regular or large size battery. How many leaves does the tree have if you use a tree diagram?
Click here to see answer by jim_thompson5910(35256)

Question 625512: if there are 6 students who all want to be in a group of 3 people, how many groups can be chosen?
Click here to see answer by sudhanshu_kmr(1152)

Question 625690: Question
There are 8 men and 10 women members of a club. How many committees of seven persons can be formed, having 4 women?
Click here to see answer by jim_thompson5910(35256)

Question 625798: How many combinations are possible by using 2 one rupee coin, 3 two rupee coin and 6 five rupee coin. You can take any number of coins at a time but at least one.
Click here to see answer by josmiceli(19441)

Question 625835: In how many ways can a group of 4 people be selected for a party planning committee from a class of 25?
Click here to see answer by stanbon(75887)

Question 625919: Hi there.
The problem I need help with is to solve algebraically for "n" in
nP4=8(n-1P3).
Thanks
Click here to see answer by Theo(13342)

Question 626154: Which of the following does not represent the number of ways a president, vice president, and secretary can be chosen from a group of 5 people?
A.P(3,5)
B.5*4*3
C.P(5,3)

Click here to see answer by jim_thompson5910(35256)

Question 626170: A class is working on finding patterns among the counting numbers. A student noticed an interesting pattern. She said that if you take 3 consecutive counting numbers (e.g. 7,8&9) and square the middle number (8 squared) then the resulting number (64) is one larger than the product of the two other numbers (i.e 64 is one greater that 7 x 9 = 63). Is this true for all sets of three consecutive numbers?
Click here to see answer by solver91311(24713)

Question 626167: A 40-member club will elect a president and elect a vice president. How many possible ways can a president and vice president be elected from this club/
Suppose the 40 member club instead elects two co-presidents. How many possible ways can co-presidents be elected from this club?
How are these questions alike and how are they different?
Click here to see answer by Theo(13342)

Question 626523: hello i need help on this problem 19c16? thanks
Click here to see answer by jim_thompson5910(35256)

Question 626537: An employer interviews 8 people for 4 technical support positions in a company, and 3 of the 8 people are men. If all 8 are qualified, in how many ways can the employer fill the technical support positions if exactly 2 are men
Click here to see answer by ewatrrr(24785)

Question 626536: An employer interviews people for technical support positions in a company, and of the people are men. If all are qualified, in how many ways can the employer fill the technical support positions if exactly are men
Click here to see answer by stanbon(75887)

Question 626770: A local high school has 765 students, 7 out of 8 are females. How many female students are there?
Click here to see answer by jim_thompson5910(35256)

Question 626984: find the number of permutations of all the letters of miscellaneous.
Click here to see answer by ewatrrr(24785)

Question 627103: Your math teacher gives your class a list of ten study questions. Five or six of the questions will be on the next test. In how many ways can your teacher choose five or six of the questions?
Click here to see answer by stanbon(75887)

Question 627257: Three people out of 12 are selected to hold an office. The positions are president, vice president and secretary. In how many ways can these offices be held?
Click here to see answer by ewatrrr(24785)

Question 627330: How many committes of 4 can be formed from 20 Republicans and 15 Democrats if at least 1 Republican and at least 1 Democrat must be on the committee?
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Question 627356: Find the number of words that can be formed with the letters in the word "EQUATION."
Click here to see answer by jim_thompson5910(35256)

Question 627677: A band has a total of 25 new songs, how many different set lists of 12 songs can the group select to play on tour? (The order of the songs is not relevant)
Click here to see answer by ewatrrr(24785)

Question 627837: in how many ways can a president,a vice president,a secretary, and a treasurer be selected from an organization with 20 members?
Click here to see answer by solver91311(24713)

Question 627876: In how many ways can 20 different amino acids be arranged into a polypeptide chain of 5 amino acids if:
a. Each amino acid may only be used once
b. Each amino acid can be used more than once
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Question 627865: Write out the sample space for the following scenario. A student randomly guesses the answers to a four question true-false quiz. The observation is the student's answer for each question. Use T = true and F = false
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Question 628548: It has been estimated that only about 30% of California residents have adequate earthquake
supplies. Suppose you randomly survey 11 California residents. We are interested in the
number who have adequate earthquake supplies.
d. What is the probability that at least 8 have adequate earthquake supplies?
e. Is it more likely that none or that all of the residents surveyed will have adequate earthquake
supplies? Why?
I tried to do this question by using Binomial Probability Distribution. I took my p as 0.3 and n=11. But it says at least 8 so the probability was P(x>=8) and when i calcualated i got some weird result . If anyone can and have time to do it i would appriciate thank you!
Click here to see answer by ewatrrr(24785)

Question 628835: Find the number of ways to arrange the word BRAZIL
a)if no repetition is allowed
b)the vowels are next to each other
Click here to see answer by Edwin McCravy(20054)

Question 629143: In the solution of the equation 5 - 3x = 2x + 9, 3x is added to the equation first. Which of the following should be done next?
Click here to see answer by ewatrrr(24785)

Question 629155: A group of 4 teachers,9 truckers, and 11 lawyers are going to form a committee of 2. How many different ways can the committee be formed with people from different professions?
Click here to see answer by Edwin McCravy(20054)

Question 629158: Imagine that you have a set of integers e.g. {1, 2, 3, 4, 5, 6}.
In how many ways can we form groups of size 1,2,...6, by taking into account that we only can group consecative numbers (and of course single).
For example, some examples are:
1) {1} {2} {3} {4} {5} {6} (6 groups)
2) {1,2} {3,4} {5,6} (3 groups)
3) {1} {2,3} {4,5} {6} (4 groups)
4) {1,2,3,4,5,6} (1 group)
and so on.....
Click here to see answer by Edwin McCravy(20054)

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