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

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Question 1139226: A number is selected from 3, 6, 9, 12, 15, 18, 21. Find the probability that the
number selected is less than 10, given that the number was odd. Show your work.
Click here to see answer by Boreal(15235)

Question 1139215: A club with 10 men and 10 women form a committee of eight how many ways are there to do so without regard to gender it's exactly half of the committee must be women
Click here to see answer by Boreal(15235)

Question 1139225: The student council at Redondo Beach high school has 25 members. If all members
are eligible to serve as officers, how many ways can a President, a Vice President, a Treasurer and a Secretary be chosen from this group? Give an exact numerical answer.
Click here to see answer by ikleyn(52776)

Question 1139246: You and a friend play a game with a fair, 6-sided die. If you roll a 1 or a 2, you win $15. If you roll a 3, you lose $20. If you roll a 4 or a 5, you lose $10. If you roll a 6, you win $30. What is your expected gain or loss each time you play? Show your work.
Click here to see answer by Boreal(15235)

Question 1139281: What is n in the equation?
n!/84 = (n-2)!/[(n-2)-(n-4)]
do I cancel n-2 and n-4 on the right side?
Click here to see answer by greenestamps(13198)

Question 1139436: Carl is choosing a four-character password for his cell phone. The password can contain letters
and digits only, and can't include repeating
characters. How many passwords are possible?

Click here to see answer by ikleyn(52776)

Question 1139598: If a coin is flipped twice, what is the probability that the result is heads both times?
Click here to see answer by ikleyn(52776)

Question 1139410: From the letters of the word FOREVER, 4-letter codes were formed. How many codes:
(a) were formed?
(b) Began and end with an R?
(c) Had the letters EVER?
(d) did not have any repeated letters?
(e) began and end with a vowel?
Click here to see answer by Edwin McCravy(20054)

Question 1139778: A license plate contains three distinct letters followed by 3 digits. How many different license plates can be printed?
Click here to see answer by Alan3354(69443)

Question 1140059: （1）in how many ways can 4 boys and 3 girls be arrange in a line if the 3 girls are to be seperated
（2）when the number of the ways permuting the letters "HELL" such that （A）2ls well always be together （B）the 2ls will always be apart.
Click here to see answer by KMST(5328)

Question 1140056: in how many ways 5 different objects can be distributed among 3 persons so that exactly one person receives no object
Click here to see answer by ikleyn(52776)

Question 1140142: In how many ways could a club of 18 members choose a president, vice president, and treasurer?
Click here to see answer by josmiceli(19441)

Question 1140142: In how many ways could a club of 18 members choose a president, vice president, and treasurer?
Click here to see answer by ikleyn(52776)

Question 1140306: A person can order a new car with a choice of 5 possible colors, with or without air conditioning, with or without automatic transmission, with or without power windows, and with or without a CD player. In how many different ways can a new car be ordered with regard to these options?
Click here to see answer by ikleyn(52776)

Question 1140617: selecting two of eight employees to attend a business seminar
Click here to see answer by Alan3354(69443)

Question 1140746: An ice cream shop has a choice of 10 toppings. Suppose you can afford at most 4 toppings. How many different types of ice cream and topping combinations can you order?
Click here to see answer by greenestamps(13198)

Question 1140745: A high school football team has 2 centers, 9 linemen, 2 quarterbacks, 5 halfbacks, 5 ends, and 6 fullbacks. The coach uses 1 center, 4 linemen, 2 ends, 2 halfbacks, 1 quarterback, and 1 fullback to form an offensive unit. In how many ways can the offensive unit be selected?
Click here to see answer by Boreal(15235)

Question 1140801: Hello!
I have a problem that I am not sure how to solve, here it is:
In a card game player get at the start 2 green cards, 3 blue cards, 4 red cards, and 3 yellow cards. In how many ways can the player get cards at the start if this card game has 7 green, 7 blue, 10 red and 10 yellow cards?
Thanks for helping!
Click here to see answer by Boreal(15235)

Question 1140802: Hi,
I have a question where I don't even know where to start. I'm not sure if it is a permutation or a combination, but I know what both of them mean. Here it is:
Find how many six-digit numbers can be formed from the digits 2, 3, 4, 5, 6 and 7 (with repetitions), if:
the numbers formed must be even, the numbers formed must be divisible by 25, and the odd digits must occupy even positions (i.e. 2nd, 4th and 6th) and the even digits must occupy odd positions (i.e. 1st, 3rd and 5th).
Thank you so much for your time, it really does mean a lot!

Click here to see answer by greenestamps(13198)

Question 1140723: organizer of a conference is selecting workshops to include. She will select 8 from workshops about music and 7 workshops about poetry. In how many ways can she select 7 workshops if 5 or more must be about music?
Click here to see answer by greenestamps(13198)

Question 1140715: A box contains 5 blue,7 green and 4 red identical balls. Three balls are picked from the box one after the other without replacement. Find,the probability of picking:
(a) two green balls and a blue ball;
(b) no blue ball;
(c) at least one green ball;
(d) three balls of the same color.
NB: please use combination approach.
Click here to see answer by greenestamps(13198)

Question 1140891: at aunt edna's diner, a customer can chose from 5 appetiziers, 7 entrees, 4 side dishes, and 6 desserts. How many different meals can be made by selecting one item from each course
Click here to see answer by Boreal(15235)

Question 1141174: A boy has five blue marbles, four green marbles and three red marbles. In
how many ways can he arrange four of them in a row, if the marbles of any
one colour are indistinguishable?

Click here to see answer by Edwin McCravy(20054)

Question 1141431: Find the number of distinguishable permutations of the letters in the word MISSISSIPPI.
Click here to see answer by math_helper(2461)

Question 1141425: picking a number from 1 to 30 and a letter from the alphabett

Click here to see answer by Alan3354(69443)

Question 1141445: In how many ways can 6 people be arranged in a round table if a certain 3 persons refuse to follow each other?
Click here to see answer by Edwin McCravy(20054)

Question 1141514: Need help with the following question. Please show work. Much appreciated, thank you!
It is known that 20% of drivers in Canada will drive after smoking marijuana. If 18 drivers are randomly selected, what is the probability that:
a) 4 or more will drive after smoking marijuana?
b) At least one will drive after smoking marijuana?
c)Less than 3 will drive after smoking marijuana?
Click here to see answer by rothauserc(4718)

Question 1141665: A certain bank is busiest during Friday afternoons. On Friday afternoons, the waiting time for drive-through customers is normally distributed with a mean of 8 minutes and a standard deviation of 2 minutes. What percentage of drive-through customers will wait for 11 minutes or longer?
Click here to see answer by Boreal(15235)

Question 1142003: If you randomly select a letter from the phrase "That group class on Rumba was really fun," what is the probability that you select a consonant?
Please show me how you arrive at your answer.
Thank you Rebecca

Click here to see answer by greenestamps(13198)

Question 1142093: In a club there are 11 women and 7 men. A committee of 5 women and 3 men is to be chosen. How many different ways are there to select the committee?
Click here to see answer by Edwin McCravy(20054)

Question 1142121: Find how much interest $10,000 earns in 4 years in a certificate of deposit paying 9.5% interest compounded quarterly?
Click here to see answer by ikleyn(52776)

Question 1142237: How many distinguishable way can these letters "unoppolati" be arranged? Is there one arrangement that spells a term that we used throughout this course? what is the probability of getting that arrangement?
2) A charity organization is selling $5 raffle tickets as part of a fund raiser program. The first prize is a trip to Mexico valued at $3450 and second prize a weekend spa package valued at $750. THE remaining 20 prizes are $25 gas cards. The number of tickets sold is 6000. what is the expected value of your gain?
Click here to see answer by ikleyn(52776)

Question 1142236: B) A lottery has 52 numbers. In how many different ways can 6 numbers be selected ?
Ans 52C6 = 20358520
C) If you bought one ticket in the lottery drawing in (b) above what would be the probability that you would win the big lottery?
Click here to see answer by ikleyn(52776)

Question 1142355: How many permutations of 5 questions each with 3 possible answers?
Ex:
Q1 - Answer can be R, Y, G
Q2 - Answer can be R, Y, G
Q3 - Answer can be R, Y, G
Q4 - Answer can be R, Y, G
Q5 - Answer can be R, Y, G
I need to know how many permutations of possible answers:
Ex
R, R, R, R, R,
R, R, R, R, Y
R, R, R, Y, Y
R, R, Y, Y, Y
R, Y, Y, Y, Y
R, R, R, R, G
R, R, R, G, G
etc.....

Click here to see answer by ikleyn(52776)

Question 1142526: Ten people are to be seated at two circular tables. One table seats six people and the other seats four.
i) With these tables, how many different seating arrangements are there for the ten people?
ii) Assuming that the seating is random, what is the probability that a particular couple will be seated at the same table?
Thank you in advance! I'm not really great at perms and comms questions. If you could include an explanation in words, I would realy appreciate it :)
Click here to see answer by ikleyn(52776)

Question 1142674: Evaluate the expression.
If
P(n, 3) = 60, find n.
Click here to see answer by ikleyn(52776)

Question 1142717: A catering service offers 6 appetizers, 9 main courses, and 5 desserts. A customer is to select 5 appetizers, 8 main courses, and 4 desserts for a banquet. In how many ways can this be done?

Click here to see answer by ikleyn(52776)

Question 1142722: The judges in ‘Beautiful Baby’ competition have to arrange 10 babies in order of merit. In how many different ways could it be done? Two babies are to be selected to be photographed. Show in how many ways can this selection be made?

Click here to see answer by Theo(13342)

Question 1142762: Evaluate the given expression C(9, 8).
Click here to see answer by ikleyn(52776)

Question 1142828: In how many ways is it possible to select one or more letters from those in INSIPIDITY?

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