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

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Question 820024: applied exercises ...how many different ways can the eight candidates for the school board election be listed on the ballot?
Click here to see answer by ewatrrr(24785)

Question 820061: Help settle a disagreement between 2 friends If a couple has 8 children, what is the probability that 4 are boys and 4 are girls
Click here to see answer by richwmiller(17219)

Question 820231: let A={1,2,3,4,5,6}
1) HOW MANY PERMUTATION ARE THERE ON THE SET A?
B) HOW many permutation of Set A end with 6?
C) How many permutation of sey A contains the substring 23?
D) How many permutation of set A contains the substring 23 together in any order?
E) How many ways can we select 3 permutation of set A?
Click here to see answer by solver91311(24713)

Question 820286: How many ways are there of choosing 6 colors, without replacement, from distinct 10 colors, if the order if the choices is not relevant? the order of the choices is relevant?

Click here to see answer by jsmallt9(3758)

Question 820396: In an examination 10 questions are to be answered choosing at least 4 from each of part A and part B. If there are 6
questions in part A and 7 in part B, in how many ways can 10 questions be answered ?
Click here to see answer by stanbon(75887)

Question 820407: you create a four digit code for your ATM card using the digits 0 to 9. how many different codes can be made? if you are allowed to use a digit once, how many different codes can be made?
Click here to see answer by stanbon(75887)

Question 820111: how many positive even integers less than 600 can be formed from 3, 4, 5, 6
Click here to see answer by tommyt3rd(5050)

Question 820953: [ How many 6-digit base-eight numbers contain exactly 3 fives?
How many 6-digit base-eight numbers contain at most five zeros? ]
Click here to see answer by TimothyLamb(4379)

Question 821021:
I have 10 people in the room. I need to form a panel of 5 people. How many different combinations of 5 people can I come up with?
Click here to see answer by richwmiller(17219)

Question 821252: An ice cream store offers 30 flavors of ice cream. How many different triple-decker cones are possible? (Note: Assume that different orders of the same flavors are not different cones. Thus a scoop of rocky road followed by two scoops of mint chocolate is the same as one scoop of mint chocolate followed by one scoop of rocky road followed by a second scoop of mint chocolate.)
Click here to see answer by stanbon(75887)

Question 821432: In how many ways an ATM pin number can be arranged so that the 2nd and 3rd digits are never the same?
Click here to see answer by KMST(5328)

Question 821533: How many possible seating positions are available in a car that has a 16way adjustable driver seat?
Click here to see answer by Alan3354(69443)

Question 820706: 1410 students and 180 are boys. each class holds 30 students how many classes are needed?
Click here to see answer by tommyt3rd(5050)

Question 821781: Carpenter Andersen owns a lumber company and to build a house. The whole house can be built in 31 days with five carpenters. Ten days after construction began, hired Andersen in 10 more carpenters to be previously finished. How many more days are needed then to finalization of the house?
Click here to see answer by stanbon(75887)

Question 821784:
A zoo has no lions and ostriches. Pet Sitting guy spoke 15 heads and 50 legs. How many lions?
Click here to see answer by Alan3354(69443)

Question 821784:
A zoo has no lions and ostriches. Pet Sitting guy spoke 15 heads and 50 legs. How many lions?
Click here to see answer by stanbon(75887)

Question 821787: A zoo has some lions and ostriches. Pet Sitting guy spoke 15 heads and 50 legs. How many lions?
Click here to see answer by ewatrrr(24785)

Question 821788: I can buy two apples for a banana and a peach of a banana. I have four apples. How many peaches equivalent to?
Click here to see answer by ankor@dixie-net.com(22740)

Question 822195: From an ordinary deck of 52 playing cards, how many 5-card hands could be dealt that consist of exactly 3 diamonds?
Click here to see answer by Edwin McCravy(20054)

Question 822688: Of a company's employee 35%are women and 8% are married women . suppose an employee is selected at random. Given that the selected employee is a women what is the probability that she is married ?
Click here to see answer by stanbon(75887)

Question 822686: From a group of 10 people, 4 will each win $500. How many different winning groups are possible ?
Click here to see answer by ewatrrr(24785)

Question 822758: If there are 5 people in a club how many different ways can a President and Treasurer be chosen? (No person can hold both positions)
Click here to see answer by ewatrrr(24785)

Question 823014: How many 3-digit even numbers can be formed if repetition of digits is possible?
Click here to see answer by tommyt3rd(5050)

Question 823450: there are 6 men and 4 women in a workshop. 3 people are selected. find the probability that all the selected people are men
Click here to see answer by ewatrrr(24785)

Question 823715: How many ways the word BALLOON can be arranged, where O's will be always together?
Click here to see answer by oscargut(2103)

Question 645114: For each of the following pairs a, b ∈ Z+, determine
gcd(a, b) and express it as a linear combination of a, b.
a) 231, 1820 b) 1369, 2597 c) 2689, 4001
Click here to see answer by goodman56(1)

Question 824141: From 5 employees at a company, a group of 3 will be chosen to work on a project. How many different groups of 3 can be chosen?
Click here to see answer by TimothyLamb(4379)

Question 824236: 80 people showed up for a party, 50 were men, what % were women?

Click here to see answer by TimothyLamb(4379)

Question 824236: 80 people showed up for a party, 50 were men, what % were women?

Click here to see answer by stanbon(75887)

Question 824371: There are 18 pictures of Christmas Trees...
There are 18 different names belonging to those trees...
You have to guess which tree belongs to whom...
What are the odds of getting 8 correct answers?
Click here to see answer by rothauserc(4718)

Question 706156: I am having difficulties where Boolean algebra is concerned. If someone could please help explain this to me it would be greatly appreciated.
Find the values of the Boolean variables w, x, y, z that satisfy the following system of simultaneous (Boolean) equations.
x + xy = 0
(second x has a slash over the top)
xy = xz
(both x's have a slash over the top)
xy + x z + zw = zw
(both x's have a slash over the top and so does the z after the x and the z attached with the w)
Click here to see answer by shrty368(1)

Question 824709: Can please someone help me there is my homework and this is the problem can please someone explain how can it be done
(The difference between half a number and one fourth the number is four. What is the number?)
Click here to see answer by KMST(5328)

Question 825052: the students of class 5,can be made to stand in lines in numbers 10,12,15&16.what should be the least number of students in the class?
Click here to see answer by KMST(5328)

Question 825296: How many permutations of 5 letters each in examination
Click here to see answer by Edwin McCravy(20054)

Question 825292: Find the number of 4-letter code words that can be formed from the letters of the word "advance".
1.using neither a.
2.both a's
Click here to see answer by Edwin McCravy(20054)

Question 824863: How many alphabetically ordered 7 letter words (meaningless or not) can be made with the 26 letters of the alphabet. Note: repetition of letters is not allowed
Click here to see answer by Edwin McCravy(20054)

Question 824862: How many alphabetically ordered 7-letter words (meaningless or not) can be made with the 26 letters of alphabet? Repetition of letters not allowed.
Click here to see answer by Edwin McCravy(20054)

Question 823348: Each letter 'a' through 'i' stands for a different digit 1 through 9.
a+b+c=9
d+e+f+i=26
i+f+g+h=21
h+g+c=11
b+c+e+f+g=30
What are the values of a,b,c,d,e,f,g,h,i ?
Thank you
Click here to see answer by Edwin McCravy(20054)

Question 821316: How many arrangements can be made with all the letters of the word venus such that the order of the vowels remains unaltered?

Click here to see answer by Edwin McCravy(20054)

Question 825442: You are choosing curtains, paint, and carpet
for your room. You have 11 choices of cur-
tains, 8 choices of paint color, and 18 choices
of carpeting.
How many different ways can you choose
curtains, paint, and carpeting
Click here to see answer by Edwin McCravy(20054)

Question 825743: �Foot� is related to �Man� in the same way as �Hoof� is related to ��
Click here to see answer by josgarithmetic(39616)

Question 826040: In one field, in one line there are as many soldiers standing as there are lines, if number of soldiers are 676 how many soldiers are standing in one line.
Click here to see answer by ankor@dixie-net.com(22740)

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