Tutors Answer Your Questions about Permutations (FREE)
Question 1178814: In a dance contest,each participating group must perform 3 kinds of dance.If there are 5 choices for ballroom dance,7 choices for foreign dance,and 6 choices for hip-hop dance,in how many possible ways can a dance group select their piece?
Click here to see answer by ikleyn(52776)   |
Question 1178926: A shipment of 10 TV sets contains 2 units that are defective. In how many ways can 3 TV sets be inspected such that:
a. no defective TV set is included?
b. both defective TV sets are included for inspection?
c. only one of the defective TV sets is included?
Click here to see answer by greenestamps(13198)  |
Question 1178833: Suppose you had graduated from high school but did not have enough money to continue your college education. You decided to work temporarily and save for your schooling You applied at Mr.
Agustin's restaurant and were hired. After a few days, you noticed that the restaurant business was not doing very well, and Mr. Agustin asked for your opinion. What you noticed was that there was no variety
in the food being served in the restaurant
1. Prepare a list of different choices of food that may be served (soup, meat dishes, fish,
vegetables, fruits, desserts, beverages). Consider health and nutritional values
2. Formulate and solve 2 problems involving permutation and combination concepts in the situation.
Click here to see answer by greenestamps(13198) |
Question 1178833: Suppose you had graduated from high school but did not have enough money to continue your college education. You decided to work temporarily and save for your schooling You applied at Mr.
Agustin's restaurant and were hired. After a few days, you noticed that the restaurant business was not doing very well, and Mr. Agustin asked for your opinion. What you noticed was that there was no variety
in the food being served in the restaurant
1. Prepare a list of different choices of food that may be served (soup, meat dishes, fish,
vegetables, fruits, desserts, beverages). Consider health and nutritional values
2. Formulate and solve 2 problems involving permutation and combination concepts in the situation.
Click here to see answer by ikleyn(52776) |
Question 1178924: A lot contains 20 electric bulbs 5 of which are defective. In how many ways can 4 bulbs be taken for inspection such that:
a. no defective electric bulb is included?
b. 2 of the defective bulbs are included?
c. all of the defective bulbs are included?
Click here to see answer by ewatrrr(24785)  |
Question 1179003: The Franklins plan to have trip in this autumn. There are 15 destinations for choosing. They can
take a train, a ship or a plan. They could take this trip by themselves or following the tourist group.
How many different possible choices are before them?
Click here to see answer by ewatrrr(24785) |
Question 1179318: Hi! I would like to ask some help regarding this question, where I need to find n.
nP4 = 28 {(n - 1)P2)}
I tried trial and error but it looks like it's a big number, it would really mean a lot if you help me. Thank you!
Click here to see answer by ikleyn(52776) |
Question 1179390: To promote reading, a teacher decides to feature 3 classics, 4 contemporary novels and 2 non-fiction books on a notice board. How many selections can she make from 5 classics, 6 contemporary novels and 4 non-fiction books?
Click here to see answer by ikleyn(52776) |
Question 1179433: a coin purse contains four 1-peso coins, five 5- peso coin and six 10-peso coin. another coin purse contains four 1-peso coin five 5-peso coin and three 10-peso coins. if a coin is taken from one of the two coin purses at random, what is the probability that it is a 5-peso coin? with solutions please. thank you.
Click here to see answer by ikleyn(52776) |
Question 1179508: "There are 12 food items on a dinner table. Suppose a person is allowed to get only 8 food items. How many ways can the person choose?"
I am kind of confused if this is a permutation or a combination problem - my first answer is in combination: 12C8 = 495. But I am not sure if this is correct.
It would mean a lot if someone could correct me or confirm this, I have trouble determining if a problem is in permutation or combination. Thank you!
Click here to see answer by ikleyn(52776) |
Question 1179548: A finite sequence of numbers is called AWESOME if each subsequent member of the sequence, except the first one, is larger than the previous one and if the
product of all the members of that sequence is a perfect square. For example, sequence 2, 6, 27 is an AWESOME sequence. Determine the natural numbers x and y such that the sequence 28, x, y, 65 is an AWESOME sequence.
Click here to see answer by greenestamps(13198) |
Question 1179593: You decided to order a pizza but you have to choose the type of crust and the toppings. If there are only 6 possible combinations of ordering pizza, from which of the following should you choose from?
a. Crust: thin or deep dish
Topping: cheese or pepperoni
b. Crust: thin or deep dish
Topping: cheese,bacon or pepperoni
c. Crust : thin or deep dish
Topping: cheese, bacon,sausage or pepperoni
d. Crust: thin or deep dish
Topping: cheese, bacon,sausage,or hotdog
Click here to see answer by ikleyn(52776) |
Question 1179593: You decided to order a pizza but you have to choose the type of crust and the toppings. If there are only 6 possible combinations of ordering pizza, from which of the following should you choose from?
a. Crust: thin or deep dish
Topping: cheese or pepperoni
b. Crust: thin or deep dish
Topping: cheese,bacon or pepperoni
c. Crust : thin or deep dish
Topping: cheese, bacon,sausage or pepperoni
d. Crust: thin or deep dish
Topping: cheese, bacon,sausage,or hotdog
Click here to see answer by greenestamps(13198) |
Question 1180295: A push-button lock contains the digits 0 through 9. If the numbers may not be repeated, what is the probability you will correctly guess the 4 digit pass code. Type in answer as a decimal or fraction in lowest terms.
Click here to see answer by ikleyn(52776) |
Question 1180293: A push-button lock contains the digits 0 through 9. If the numbers may not be repeated, what is the probability you will correctly guess the 4 digit pass code. Type in answer as a decimal or fraction in lowest terms.
Click here to see answer by ikleyn(52776) |
Question 1180551: Six devices (A,B,C,D,E, F) are each assigned one of three IP addresses (IP#1, IP#2, IP#3).If three devices are assigned IP#1, two devices are assigned IP#2, and one device IP#3, howmany different assignments are possible
Click here to see answer by greenestamps(13198) |
Question 1180836: The combination locks on the lockers at Hillside School have numbers from 0 through 39 (inclusive). A locker combination consists of three different numbers, where order matters. Because of the way the locks are manufactured, all three numbers are even or all three numbers are odd. How many combinations are possible?
So I think that to get ALL the possible combinations you do 40P3 which is 40 times 39 times 38 = 59280, but I don't know what to do after that.
Click here to see answer by math_helper(2461)  |
Question 1180840: Every member of the 23 students in the graduating class would like to attend a special leadership conference, but only ten members will be allowed to attend. How many ways are there to select the lucky 10?
Click here to see answer by ikleyn(52776) |
Question 1180839: Molly, Mary, Michael, and Melissa are all standing together.
(a) In how many ways can they be arranged in a circle? Is it (5-1)!??
(b) In how many ways can they be arranged in a circle if Molly and Melissa must stand together? Is it 2! x 3! ??
(c) In how many ways can they be arranged in a circle if Molly and Melissa can't stand together?
Click here to see answer by ikleyn(52776) |
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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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