Tutors Answer Your Questions about Permutations (FREE)
Question 1202852: In a certain city, there are seven streets going north-south and five streets going east-west. How many street paths start at the southwest corner of the city, end at the northeast corner of the city, and have the shortest possible length?
Click here to see answer by ikleyn(52781)   |
Question 1202879: From 5 statisticians and 6 economists a committee consisting of 3 statisticians and 2 economists is to be formed. How many different committees can be formed if (a)no restrictions are imposed (b)two particular statisticians must be on the committee (c)one particular economist cannot be on the committee?
Click here to see answer by ikleyn(52781) |
Question 1202962: Using a five-sided spinner (red, yellow, green, teal, blue) you construct or a digital five-sided spinner, complete the following steps; write the probabilities as a fraction and a percentage.
1. What is the theoretical probability of spinning yellow?
2. What is the theoretical probability of spinning red or yellow?
3. Spin the spinner 20 times, create a table to display the results. What is the experimental probability of spinning yellow?
4. Perform another 20 spins, and record them. What is the new experimental probability of spinning yellow out of all 40 spins?
5. What is the experimental probability of spinning red or yellow out of all 40 spins?
Click here to see answer by ikleyn(52781) |
Question 1202962: Using a five-sided spinner (red, yellow, green, teal, blue) you construct or a digital five-sided spinner, complete the following steps; write the probabilities as a fraction and a percentage.
1. What is the theoretical probability of spinning yellow?
2. What is the theoretical probability of spinning red or yellow?
3. Spin the spinner 20 times, create a table to display the results. What is the experimental probability of spinning yellow?
4. Perform another 20 spins, and record them. What is the new experimental probability of spinning yellow out of all 40 spins?
5. What is the experimental probability of spinning red or yellow out of all 40 spins?
Click here to see answer by math_tutor2020(3817) |
Question 1203152: A committee of 5 people is to be chosen from 6 midfielders, 3 attackers and 7 referees. If each discipline must be represented, determine the number of ways of selecting the committee to include: (a) exactly one midfielder and one attacker. (b) exactly two midfielders; (c) at least two midfielders.
Click here to see answer by ikleyn(52781) |
Question 1203282: 4 boys and 5 girls are asked to form a line. In how many ways can this be done?
Find also the number of arrangements in which
a) The first two are girls
b) The first is a boy and the last is a girl
c) The boys are together
d) No two girls stand next to each other
Click here to see answer by ikleyn(52781) |
Question 1203576: The first urn contains 4 red marbles and 6 green marbles. The second urn contains 7 red marbles and 2 green marbles. Two marbles will be drawn from the first urn at random and immediately put into the second urn without observing the color. Then, one marble will be drawn at random from the second urn. Find the probability that the second drawing turns out to be a red marble given that the first draw turns out to have the same color.
Click here to see answer by greenestamps(13200)  |
Question 1203598: How many permutations of the letters {A, B, C , D, E , F , G } are
there, such that
1 A precedes B
2 A precedes B, and C precedes D
3 A precedes B, and B precedes C
4 C,D,E appear together in this order
5 A,B are appear together in this order, as do C , D
Click here to see answer by Edwin McCravy(20055)  |
Question 1203598: How many permutations of the letters {A, B, C , D, E , F , G } are
there, such that
1 A precedes B
2 A precedes B, and C precedes D
3 A precedes B, and B precedes C
4 C,D,E appear together in this order
5 A,B are appear together in this order, as do C , D
Click here to see answer by ikleyn(52781) |
Question 1203620: A meteorologist at Bvumbwe research station recorded the number of days of
rain during a 30-day period. If the random variable X is denoted as the number
of days of rain, does X have a binomial distribution? If not, why not? If so,
are both values of n and p known?
Click here to see answer by math_tutor2020(3817) |
Question 1203662: A shipment of 140 laptops contains 6 defective laptops. A quality control specialist chooses a sample of 8 laptops from the shipment.
How many possible choices of 8 laptops can be made?
How many of these possible selections will not contain any defective laptops?
How many of the possible selections will contain at least one defective laptop?
How many of the possible selections will contain exactly one defective laptop?
Click here to see answer by MathLover1(20849)  |
Question 1203662: A shipment of 140 laptops contains 6 defective laptops. A quality control specialist chooses a sample of 8 laptops from the shipment.
How many possible choices of 8 laptops can be made?
How many of these possible selections will not contain any defective laptops?
How many of the possible selections will contain at least one defective laptop?
How many of the possible selections will contain exactly one defective laptop?
Click here to see answer by ikleyn(52781) |
Question 1203852: As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King).
If you select a card at random, what is the probability of getting: (Round to 4 decimal places where possible)
a) A 3 of Diamonds?
b) A Diamond?
c) A number smaller than 6 (counting the ace as a 1)?
Click here to see answer by mananth(16946)  |
Question 1203994: Winning the jackpot in a particular lottery requires that you select the correct two numbers between 1 and 60 and, in a separate drawing, you must also select the correct single number between 1 and 37. Find the probability of wining the jackpot
Click here to see answer by ikleyn(52781) |
Question 1204437: A car license plate contains three letters followed by four digits. How many different plates can be made if no two consecutive letters can be the same, if the letters I, O and Q cannot be used, and if the number 0 cannot be used?
Click here to see answer by ikleyn(52781) |
Question 1204565: A gym class has 12 students, 6 girls and 6 boys. The teacher has 4 jerseys in each of 3 colors to mark 3 teams for a soccer tournament. If the teacher wants at least one girl and at least one boy on each team, how many ways can he give out the jerseys? (Jerseys of the same color are indistinguishable.)
Click here to see answer by ikleyn(52781) |
Question 1204565: A gym class has 12 students, 6 girls and 6 boys. The teacher has 4 jerseys in each of 3 colors to mark 3 teams for a soccer tournament. If the teacher wants at least one girl and at least one boy on each team, how many ways can he give out the jerseys? (Jerseys of the same color are indistinguishable.)
Click here to see answer by Edwin McCravy(20055) |
Question 1204816: 11 books are to be stored in a shelf where 4 books can be put vertically, so they are all
as easily accessible, and 6 books can be piled-up, so the most used ones are on the top.
(a) In how many ways the books can be put in vertical positions?
Your answer is :
(b) In how many ways the books can be piled-up?
Your answer is :
(c) In how many ways the books can be put in both positions?
Your answer is :
Click here to see answer by ikleyn(52781) |
Question 1204819: If 5 -letter
words'' are formed using the letters A, B, C, D, E, F, G, how many such words are possible for each of the following conditions:
(a) No condition is imposed.
Your answer is :
(b) No letter can be repeated in a word.
Your answer is :
(c) Each word must begin with the letter A and letters can be repeated.
Your answer is :
(d) The second letter must be a vowel and no letters can be repeated.
Your answer is :
Click here to see answer by MathLover1(20849) |
Question 1204819: If 5 -letter
words'' are formed using the letters A, B, C, D, E, F, G, how many such words are possible for each of the following conditions:
(a) No condition is imposed.
Your answer is :
(b) No letter can be repeated in a word.
Your answer is :
(c) Each word must begin with the letter A and letters can be repeated.
Your answer is :
(d) The second letter must be a vowel and no letters can be repeated.
Your answer is :
Click here to see answer by math_tutor2020(3817) |
Question 1204819: If 5 -letter
words'' are formed using the letters A, B, C, D, E, F, G, how many such words are possible for each of the following conditions:
(a) No condition is imposed.
Your answer is :
(b) No letter can be repeated in a word.
Your answer is :
(c) Each word must begin with the letter A and letters can be repeated.
Your answer is :
(d) The second letter must be a vowel and no letters can be repeated.
Your answer is :
Click here to see answer by ikleyn(52781) |
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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
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