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

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Question 371200: A florist has 10 plants, each in bloom with flowers of a different color. How many ways can he arrange 7 plants in a garden along a wall if the first plant must be red and the 7th plant must be green? The color of the plant flowers includes red and green.
Click here to see answer by sudhanshu_kmr(1152)

Question 371024: help me solve this problem please. I don't know how to get the answers.
a) How many different 7-digit numbers can be formed from the digits 0,1,2,2,3,3,3 assuming that a number cannot start with 0?
ans : 360
b) how many of these numbers will end in 0?
ans : 60
Click here to see answer by sudhanshu_kmr(1152)

Question 369191: In how many ways may a group of 10 people be seated in a row with exactly 10 chairs if 2 people must be seated together?
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Question 372152: arr
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Question 372166: A computer with an old processor locks up if more than 4 applications are running simutaniously. If the owner has 20 applications stored in his program file, how many different sets of 4 can he run, so that his computer does not lock up?

Click here to see answer by solver91311(24713)

Question 372235: A club has15 members of which 9 are men and 6 are women. In how many ways can the form a committee consisting of 3 men and 2 women?
Click here to see answer by robertb(5830)

Question 372418: 3 green pens, 6 red pens, 12 bl pens, 9 violet pens... 7 pens r needed. and a bl and red pen have already been selected then the probability of obtaining at least 1 green pen is?
Click here to see answer by edjones(8007)

Question 372660: how many different ways can 6 people sit in a row with 6 seats

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Question 372660: how many different ways can 6 people sit in a row with 6 seats

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Question 372596: If I choose a passwod consisting of 3 letters & 3 numbers, and the first letter must be from the first half of the alphabet, the last number must be even and no repetition is allowed, how many passwords are possible?
Click here to see answer by sudhanshu_kmr(1152)

Question 372587: How many different five-number can be formed from the numbers 0 through 5, if no repeats are allowed and he first number cannot be 0 or 5
Click here to see answer by sudhanshu_kmr(1152)

Question 373292: 5. 7. The Two Ways Caf�[take it or leave it] offers a special dinner menu each evening. There are 2 appetizers to choose from, 3 main courses and 4 desserts. A customer can select one item from each category. Find the number of different dinners composed of the three items.
Click here to see answer by checkley79(3341)

Question 373286: 1. A veterinarian tells you that if you breed two cream colored guinea pigs, the probability that an offspring will be pure white is 0.25. What is the probability that it will not be pure white?
Click here to see answer by neatmath(302)

Question 373287: 1. Andrew is 55 and the probability that he will be alive in 10 years is 0.72. Ellen is 35 and the probability that she will be alive in 10 years is 0.92. Assuming that the life span of one will have no effect on the life span of the other, what is the probability they will both be alive in 10 years?
Click here to see answer by edjones(8007)

Question 373289: 4. A quality-control procedure for testing ready-flash disposable cameras consists of drawing 2 cameras at random from each lot of 100 without replacing the first camera before drawing the second. If both are defective, the entire lot is rejected. The lot contains 10 defective cameras. Since we are drawing the cameras at random assume that each camera in the lot has an equal chance of being drawn. A) What is the probability of getting a defective camera on the first draw? B) What is the probability of getting a defective camera on the second draw if the first camera was defective? C) What is the probability that both cameras are defective?
Click here to see answer by edjones(8007)

Question 373290: 5. The Cost Less Clothing Store carries seconds in slacks. If you buy a pair of slacks in your waist size without trying them on, the probability that the waist will be too tight is 0.30 and the probability that it will be too loose is 0.10. A) Are the events too tight or too loose mutually exclusive? Give support for your response. B) If you choose a pair of slacks at random in your regular waist size what is the probability that the waist will be too tight or too loose?
Click here to see answer by edjones(8007)

Question 373326: How many 3-letter combinations are possible from A,E,I,O,U?
Click here to see answer by cooldj098(2)

Question 374353: not sure but i keep getting 11%, that seems too high to me,what is the probability of getting a 2,3, or 12 on two dice?
Click here to see answer by ewatrrr(24785)

Question 375385: a 4 symbol password is to be formed with one letter and three digits. how many such passwords are there?
Click here to see answer by Alan3354(69443)

Question 375344: A person can order a new car with a choice of 11 possible colors, with or without air conditioning, with or without heated seats, with or without anti-lock brakes, with or without power windows, and with or without a CD player. In how many different ways can a new car be ordered in terms of these options?
Click here to see answer by sudhanshu_kmr(1152)

Question 375316: Sam has 17 ties. He has 6 green, 3 blue and 8 red. If he selects two ties at random, what is the probability that both ties are different colors? Round your answer to two decimal places.

Click here to see answer by sudhanshu_kmr(1152)

Question 374792: Find the number of different signals consisting of eight flags that can be made using three white flags, four red flags, and one blue flag.
Click here to see answer by sudhanshu_kmr(1152)

Question 376002: A& B are two players. They need to select one number from 1 to 25. If both the players select the
same numbers they will win the prize. What is the probability of not winning in a single trial?

Click here to see answer by edjones(8007)

Question 375903: 3 men and 5 women are in a room. A person is chosen at random to give a speech. What is the probability that a woman was chosen to give the speech?

Click here to see answer by Fombitz(32388)

Question 373076: In how many ways can 4 boys and 2 girls seat themselves in a row if the two girls are NOT to sit next to each other?
Click here to see answer by sudhanshu_kmr(1152)

Question 376606: Determine how many ways you could be dealt a hand of 5 cards with each of the following outcomes. A flush in hearts? Three jacks and two sevens?
Click here to see answer by Edwin McCravy(20055)

Question 376601: I must select my schedule next semester. I need to take one History class out of 5 offered, one English class out of 7 offered and one Humanities class out of 10 offered. If there are no restrictions on which one of each course i must take, how many schedules are possible for me?
Click here to see answer by jim_thompson5910(35256)

Question 376680: The menu at a restaurant has 10 appetizers, 14 entrees, 11 desserts, and 10 beverages. The restaurant offers a dinner special that includes 1 appetizer, 1 entree, 1 dessert, and 1 beverage. In how many ways can a person order a dinner special at this restaurant?
Click here to see answer by Edwin McCravy(20055)

Question 376603: I have a jar containing balls numbered 1,2,3, and 4. I also have a basket containing a blue, a green, and a red tile. If i perform a multistage experiment in which i draw and number from the jar and then a tile from the basket. How many possible outcomes are there?
Click here to see answer by Fombitz(32388)

Question 377370: A sports card collection contains 20 baseball players, 15 basketball players, and 25 football players. In how many ways can you select one of each?
Click here to see answer by Fombitz(32388)

Question 377455: How many license plates are possible consisting of 4 letters followed by 4 digits, if the first letter must be a C?
Click here to see answer by sudhanshu_kmr(1152)

Question 378337: A reading list for a course in world literature has 20 books on it. How many ways can you choose 4 books to read, using Combinations?
Click here to see answer by edjones(8007)

Question 378342: A commitee is to consist of three members. If there are three men and five woman availiable to serve on the committee, how many different committees can be formed, using Combination?
Click here to see answer by edjones(8007)

Question 379058: is there 362880 distinguishable of the letters in the word TEXTBOOKS? explain.
Click here to see answer by richard1234(7193)

Question 379058: is there 362880 distinguishable of the letters in the word TEXTBOOKS? explain.
Click here to see answer by stanbon(75887)

Question 379247: Find the fifth term of (7x+2y)^15
This is what I have so far.
(n)
(r) (a)^n-r(b)^r
a=7
b=2
n=15
r=4
15 nCR 4*(7)^11*(2)^4
The answer that the calculator gives you is 4.32^13. I am confused about what exponents I put for x and y since the solution of the equation has an exponent involved with it. Any help would be appreciated. Thanks!
Click here to see answer by robertb(5830)

Question 379462: in how many ways can 6 different trees be planted in a circle

Click here to see answer by richard1234(7193)

Question 380103: how would a person prove the result algebraically of this problem nCr = nCn-r
and explain why it must be true using a Pascals Triangle.
Click here to see answer by richard1234(7193)

Question 380105: with out adding how would a person solve
at least 1 spade
directions: find the number of possible 5-card hands that contain the cards specified. The cards are taken from a standard 52-card deck.
Click here to see answer by richard1234(7193)

Question 380284: In how many ways can a group of four or more be form from ten people
Click here to see answer by richard1234(7193)

Question 380393: How many possible starting lineups of 5 players from a 12-man roster can you form?
Click here to see answer by richard1234(7193)

Question 382020: A group of 30 state representatives are on the state�s telecommunications committee; 20 of them are Democrats and 10 of them are Republicans. If a subcommittee of 8 members needs to be formed from the telecommunications committee, then answer the following: (Show how you arrived at your answer. Use the proper mathematical notation.)
How many different groups can be formed if there at most 6 Republicans on the subcommittee?
Click here to see answer by edjones(8007)

Question 382068: In how many ways can 4 people be assigned to seats in a 12-seat room? Show how you arrived at your answer.
Click here to see answer by user_dude2008(1862)

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