Tutors Answer Your Questions about Permutations (FREE)
Question 1144608: Suppose there are 14 freshman, 10 sophomores, 16 juniors, and 15 seniors running for the offices of president, vice president, and secretary. If no person can hold more than one office, in how many different ways could these people be elected to these positions if the president must be a senior and the secretary must be a freshman?
Click here to see answer by greenestamps(13198)   |
Question 1144788: Problem Page
A catering service offers 8 appetizers, 12 main courses, and 11 desserts. A customer is to select 3 appetizers, 7 main courses, and 3 desserts for a banquet. In how many ways can this be done?
Click here to see answer by ikleyn(52776)  |
Question 1144983: in a plan for area codes, the first digit could be any number from 2 through 8, the second digit was either 0 or 3, and the 3rd digit could be any number except 0 How many different area codes were possible
Click here to see answer by ikleyn(52776) |
Question 1145099: You are given 25 video game tokens to use on these three games: Radical Racing Robots, Adventures Around the Amazon, and Mighty Medical Monsters. In order to get your prize, you must correctly answer this question:How many different ways are there to spend your 25 tokens on these three games assuming you play each game at least once?
Click here to see answer by greenestamps(13198) |
Question 1145262: 7 freshmen, 7 sophomores, 5 juniors, and 6 seniors are eligible to be on a committee.
In how many ways can a dance committee of 16 students be chosen if it is to consist of exactly 3 juniors and exactly 4 seniors, and the rest must be freshman or sophomores?
Click here to see answer by ikleyn(52776) |
Question 1145448: In a certain country telephone numbers have 9 digits.the first two digits are the area code(03) and are the same within a given area.the last 7 digits are the local number and cannot begin with 0.how many different telephone numbers are possible within a given area code in this country?
Click here to see answer by VFBundy(438)  |
Question 1145536: 11. A group of 5 boys took their girlfriends with them to a seaside picnic right after their quiz in QUAMETH.
a. They arrived at the resort late in the afternoon and decided to rent a large cottage having three rooms with the following maximum allowable number of occupants per room: 5 persons in the Royal Suite; 4 persons in the De Luxe Suite; and 3 persons in the Standard Suite. Following their parents’ strict advice, the girls did not sleep in the same room where the boys did. How many possible ways can the vacationists sleep for the night?
b. The following morning, they went to the kitchen hall and gathered around a circular table to eat their breakfast. How many ways can they sit around the table if the couples are to be sitting together?
c. They formed a committee of four persons to prepare lunch. One of the vacationists was a good cook and it was decided that she should be on the committee. Two other girls, however, who are always quarreling, should not be on the committee both at the same time. How many possible committees are there?
d. Late in the afternoon, to liven up their merienda, they decided to put up a contest. They have 1st, 2nd and 3rd prizes at stake. How many ways can these prizes be won?
e. They had to leave before dark so they started to pack up their things. To bid each other farewell, they shook hands with each other. Of course, the boys did not shook hands with their own girlfriends; instead they kissed them goodbye. How many handshakes were there assuming that two persons shook hands with each other only once?
Click here to see answer by ikleyn(52776) |
Question 1145636: You are ordering a hamburger and can get up to 8
toppings, but each topping can only be used once. You tell the cashier to surprise you with the toppings you get. What is the probability that you get 4
toppings? Express your answer as a fraction or a decimal number rounded to four decimal places.
Click here to see answer by VFBundy(438) |
Question 1145636: You are ordering a hamburger and can get up to 8
toppings, but each topping can only be used once. You tell the cashier to surprise you with the toppings you get. What is the probability that you get 4
toppings? Express your answer as a fraction or a decimal number rounded to four decimal places.
Click here to see answer by richwmiller(17219)  |
Question 1145629: A six number coed volleyball team is chosen from a group of eight men and five women. If there must be at least one member of each gender on the team, how many different ways can the team members be chosen
Click here to see answer by VFBundy(438) |
Question 1146052: A city currently has approximately 1,200,000 households. Most households have at
least one fixed telephone line. A fixed telephone line number begins with a 6,
followed by seven digits that can be between 0 and 9. What is the maximum
number of unique fixed telephone lines?
Click here to see answer by Edwin McCravy(20054)  |
Question 1146052: A city currently has approximately 1,200,000 households. Most households have at
least one fixed telephone line. A fixed telephone line number begins with a 6,
followed by seven digits that can be between 0 and 9. What is the maximum
number of unique fixed telephone lines?
Click here to see answer by richwmiller(17219) |
Question 1146066: Help!
A woman has 11 close friends. In how many ways can she invite 5 of them for dinner, if there are 2 who are not in good talking terms and so both can not be at the dinner, but at most one of them can be invited?
Click here to see answer by VFBundy(438) |
Question 1146125: If all digits 0,1,2,3,4,5,6,7,8,9 are rotated through a 180 degrees ,the
digits 0,1, and 8 do not change meaning, the digit 6 becomes 9, and 9
becomes 6. The remaining digits lose their meaning. a palidium is a positive
whole number that remains the same after a 180 degree rotation(for example, 1691 or 8008). How many numbers between 1000 and 9999(inclusive) are
palidiums?
Click here to see answer by Edwin McCravy(20054) |
Question 1146146: a Particular company,any valid password consists of 8 characters in any order as follow
4 distinct lower case letter,
two distinct digits and
any two (distinct) of the special characters
~ ! @ - # $ ; % ^ & * ? : < \ [ { ] } + = _ >
How many valid passwords are there if no repeats are allowed (that is, each character can only be used at most once)?
Click here to see answer by richwmiller(17219) |
Question 1146124: a Particular company,any valid password consists of 8 characters in any order ass follow
.4 distinct lower case letter,
.two distinct digits and
.any two (distinct) of the special characters ~ ! @ - # $ ; % ^ & * ? : < \ [ { ] } + = _ >
How many valid passwords are there if no repeats are allowed (that is, each character can only be used at most once)?
Click here to see answer by richwmiller(17219) |
Question 1146101: A school teacher has 6 girls and 8 boys to arrange for a choir. Determine the number of different ways she can arrange the 14 different children,
a)if the boys should stand behind the girls.
b)in a single row,if the girls must be kept together.
c)in a single row,if no two girls should stand next to each other.
please help!!!
Click here to see answer by Edwin McCravy(20054) |
Question 1146577: How many ways can three items be selected from a group of five items? Use the letters A, B, C, D, and E to identify the items, and list each of the different combinations of three items. 2. How many permutations of three items can be selected from a group of five? Use the letters A, B, C, D, and E to identify the items, and list each of the permutations of items B, D, and F. 3. Consider the experiment of tossing a coin three times. Develop a tree diagram for the experiment. List the experimental outcomes. What is the probability for each experimental outcome? 4. Suppose an experiment has five equally likely outcomes: E1, E2, E3, E4, E5. Assign probabilities to each outcome and show that the requirements for a probability distribution are. What method did you use? 5. An experiment with three outcomes has been repeated 50 times, and it was learned that E1 occurred 20 times, E2 occurred 13 times, and E3 occurred 17 times. Assign probabilities to the outcomes. What method did you use? 6. A decision maker subjectively assigned the following probabilities to the four outcomes of an experiment: P(E1) = .10, P(E2) = .15, P(E3) = .40, and P(E4) = .20. Are these probability assignments valid? Explain. 7. The Powerball lottery is played twice each week in 31 states, the District of Columbia, and the Virgin Islands. To play Powerball, a participant must purchase a $2 ticket, select five numbers from the digits 1 through 59, and then select a Powerball number from the digits 1 through 35. To determine the winning numbers for each game, lottery officials draw 5 white balls out a drum of 59 white balls numbered 1 through 59 and 1 red ball out of a drum of 35 red balls numbered 1 through 35. To win the Powerball jackpot, a participant’s numbers must match the numbers on the 5 white balls in any order and must also match the number on the red Powerball. a. How many Powerball lottery outcomes are possible? Hint: Consider this a two-step experiment. Select the 5 white ball numbers and then select the 1 red Powerball number. b. What is the probability that a $2 lottery ticket wins the Powerball lottery? 8. An experiment has four equally likely outcomes: E1, E2, E3, and E4. a. What is the probability that E2 occurs? b. What is the probability that any two of the outcomes occur (e.g., E1 or E3)? c. What is the probability that any three of the outcomes occur (e.g., E1 or E2 or E4)? 9. Consider the experiment of selecting a playing card from a deck of 52 playing cards. Each card corresponds to a sample point with a 1/52 probability. a. List the sample points in the event an ace is selected. b. List the sample points in the event a club is selected. c. List the sample points in the event a face card (jack, queen, or king) is selected. d. Find the probabilities associated with each of the events in parts (a), (b), and (c).
Click here to see answer by math_helper(2461)  |
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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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