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

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Question 1183742: How many ways can the letters of the word MISSISSIPPI be arranged if no two S's are side by side?
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Question 1183760: A modern town is laid out in square blocks. By how many different routes can we go from the corner of East 1st Street and North 1st Avenue
to the corner of East 7th Street and North 5th avenue, each route being of the smallest possible length, that is, 10 blocks?


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Question 1183938: A stock can go​ up, go​ down, or stay unchanged. How many possibilities are there if you own 6 ​stocks?
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Question 1183954: A particle moving in a constant deceleration passes by two ports, which are 500 m
apart, with velocity 40m/s and 20 m/s respectively. Find the: (a) deceleration of the particle; (b) time after passing by the second post when it comes to
rest

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Question 1183954: A particle moving in a constant deceleration passes by two ports, which are 500 m
apart, with velocity 40m/s and 20 m/s respectively. Find the: (a) deceleration of the particle; (b) time after passing by the second post when it comes to
rest

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

Question 1184483: Find the number of ways that 9 persons can arrange themselves:
a) around a table where two of them sit beside each other;
b) around a table (no restrictions);
c) in a row of 9 chairs.

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Question 1184527: A certain congressional committee consists of 9 senators and 11 representatives. How many ways can a subcommittee of 5 be formed if at least 4 of the members must be senators?
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Question 1184532: Bridget works part-time in a shoe store. Sometimes when it is not busy, she rearranges the shoes for fun. If she takes six different pairs of shoes and rearranges them in a row, in how many ways can she rearrange them so that no two shoes match?
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Question 1184776: MY NOTES
Data on the governors of the fifty states are given in the table.
Democrats Republicans Independents
Male 12 28 0
Female 8 2 0
(a) Find the probability that a governor is female, given that the governor is a Democrat.

(b) Find the probability that a governor is female, given that the governor is a Republican.

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Question 1184774: Three hundred people apply for three jobs. 90 of the applicants are women. (a) If three persons are selected at random, what is the probability that all are women? (Round the answer to six decimal places.) (b) If three persons are selected at random, what is the probability that two are women? (Round the answer to six decimal places.)
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Question 1184775: In a newspaper poll concerning violence on television, 600 people were asked, "What is your opinion of the amount of violence on prime-time television-is there too much violence on television?" Use the data in the table to find the following probabilities, where Y is the event "saying yes," and M is the event "being a man." (Round the answers to two decimal places.)
Yes No Don't Know Total
Men 162 95 23 280
Women 256 45 19 320
Total 418 140 42 600
(a) p(Y' | M ) =

(b) p(Y | M' ) =

(c) p(Y' | M' ) =

(d) Which event is the complement of the event Y|M?
Y | M'
Y' | M'
Y' | M

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Question 1184938: In how many ways can 3 engineers,4 teachers,4 doctors,3 businessmen and 3 nurses can be seated in a row for COVID 19 check-up so that those of the same carrier sit together?

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Question 1184997: Evaluate the expression. If 11! = 39, 916, 800, find 10!
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Question 1184997: Evaluate the expression. If 11! = 39, 916, 800, find 10!
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Question 1184996: Ten identical coins are tossed. How many possible arrangements of the coins include five heads and five tails?
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Question 1184995: A restaurant offers a special pizza with any 6 toppings. If the restaurant has 12 topping from which to choose, how many different special pizzas are possible?
Click here to see answer by ikleyn(52776) About Me 

Question 1185029: g(x)= |x^3-3x^2+3x-1|
x= (-3) solve for x.

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Question 1185054: There are 4 copies of Statistics book, 5 copies of Science book, and 3 copies of English book. In how many ways can they be arranged on a shelf?
Click here to see answer by ikleyn(52776) About Me 

Question 1185123: Four different mathematics books, six different physics books, and two different
chemistry books are to be arranged on a shelf. How many different arrangements
are possible if the books in each subject must all stand together?

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Question 1185126: Some automobiles have six-button locks.
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Question 1185129:
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Question 1185279: (n+1)!={11*(n-1)/2}*{(n+3)!/3!},solveforn
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Question 1185296: You have cards A-10 of all suits in a deck of cards. So, you have 40 cards. How many ways can you draw 4 cards?

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Question 1185297: You have a driver’s license that has to have 2 digits followed by 4 letters. Find the total number of outcomes available with repetition of digits and letters.

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Question 1185299: Suppose you are going to arrange the following marbles:
blue marble,
red marble,
yellow marble, and
green marble.
Let’s use symbols to represent each marble:
blue marble = b,
red marble = r,
yellow marble = y, and
green marble = g.
List the different arrangements here:

Click here to see answer by Edwin McCravy(20054) About Me 
Question 1185299: Suppose you are going to arrange the following marbles:
blue marble,
red marble,
yellow marble, and
green marble.
Let’s use symbols to represent each marble:
blue marble = b,
red marble = r,
yellow marble = y, and
green marble = g.
List the different arrangements here:

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

Question 1185298: Your drama teacher has to choose a female lead and a male lead from 4 female actors and 3 male actors.
Let females = {a, b, c, d}, and
Let males = {x, y, z}
List the different outcomes here:

Click here to see answer by ikleyn(52776) About Me 
Question 1185298: Your drama teacher has to choose a female lead and a male lead from 4 female actors and 3 male actors.
Let females = {a, b, c, d}, and
Let males = {x, y, z}
List the different outcomes here:

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

Question 1185492: A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results were as follows:
28 said they drove alone.
31 rode in a carpool.
30 rode public transportation.
7 used both carpools and public transportation.
3 used both a carpool and sometimes their own cars.
5 used buses as well as their own cars.
2 used all three methods.
How many used none of the above-mentioned means of transportation?
students

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Question 1185540: Lawrence's wallet contains some ₱10.00, ₱5.00, ₱1.00, and ₱0.25 coins. There are 9 coins in his wallet. How many of each type does he have if the wallet has a total of ₱20.50?
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Question 1185540: Lawrence's wallet contains some ₱10.00, ₱5.00, ₱1.00, and ₱0.25 coins. There are 9 coins in his wallet. How many of each type does he have if the wallet has a total of ₱20.50?
Click here to see answer by ikleyn(52776) About Me 

Question 1185544: Suppose you have a set Q = {a, b, c, d}. How many ways can you arrange 2 elements of a set without repetition? Hint: list the possible outcomes.
Click here to see answer by greenestamps(13198) About Me 

Question 1185543: You are flipping a coin 3 times and rolling a 6-sided dice once. How many different possible outcomes are there?
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Question 1185577: You have five red marbles and five blue marbles in a bag. What is the probability of randomly taking out five red marbles in a row if marbles are not replaced when they are taken out?
Click here to see answer by ikleyn(52776) About Me 

Question 1185836: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen from the deck.
How many hands contain 4 queens?

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Question 1185849: At a certain high school, the Prom Committee is going to choose new members. There are 7 students from the Junior class and 6 students from the Senior class who are willing to be new members. In how many ways can 4 new members be chosen if 2 or fewer must be from the Senior class?
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Question 1185834: Five country music bands and 2 rock bands are signed up to perform at an all-day festival. How many different orders can the bands play in if the following conditions apply?
(a) there are no restrictions on the order
(b) all the bands of each type must perform in a row

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Question 1185953: In how many distinguishable ways can 5 identical black balls and 9 identical blue balls be arranged in a 2 x 7 array
Click here to see answer by ikleyn(52776) About Me 

Question 1186131: A group of 50 people are going to run a race. The top 6 finishers advance to the finals.
I know its a permutation i just dont know how to do the formula with larger numbers, please help.

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Question 1186304: there are 7 letters which is U,N,I,F,O,R,M. Find the number of different four-letter codes which end with consonant.
Click here to see answer by greenestamps(13198) About Me 

Question 1186305: there are 7 letters which is U,N,I,F,O,R,M. Find the number of different four-letter codes which end with consonant (not repetition)
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Question 1186379: The probability I win a given game is .6543
I play the game 734 times.
How many times should I expect to win?

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Question 1186555: How many three-digit numbers can be formed using the digits 2,3,5,7,8 if the number is odd and no digit is repeated.
Click here to see answer by ikleyn(52776) About Me 

Question 1186634: How many permutations of the characters in "COMPUTER" are there? How many of the permutations end in a vowel?

Can you please explain to me this homework question step-by-step?

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Question 1186635: How many ways can 6 people sit together in a row
a) If two people sit together?
b) How many ways can 6 people sit in a circle of two people sit together?

Please explain my second homework question to me. Thank you!

Click here to see answer by math_helper(2461) 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