Tutors Answer Your Questions about Permutations (FREE)
Question 1153320: Serial numbers for a product are to be made using 4 letters followed by 4 digits. The letters are to be taken from the first 8 letters of the alphabet, with no repeats. The digits are taken from the 10 digits 0, 1, 2, ..., 9, with no repeats. How many serial numbers can be generated?
Click here to see answer by ikleyn(52776)   |
Question 1154161: A group of 30 people consists of 15 women and 15 men.
How many ways are there to
(a) arrange the entire group in a row? (2)
(b) form a row of 6 people from the men? (2)
(c) form the group into a row with all the women in front of all the men? (3)
(d) choose a man and a women from the group? (3)
(e) choose four women and five men from the group? (3)
(f) choose 10 people from the group? (3)
(g) pair the women and men off? (3)
(h) form 10 pairs from the group? (3)
(i) divide the group into two groups (group 1 and group 2) of equal size? (3)
(j) divide the group into 2 equal groups, where each group in its own has as many men as
women in it? (3)
(k) divide the groups into two groups of equal size such that group 1 contains at least 4
men? (3)
(l) divide the group into two groups, each having size at least one? (3)
Each of the 30 choose one cooldrink from 10 types:
(m) How many ways could they do this? (3)
(n) How many different combinations of cooldrink could be ordered from the cafeteria,
where you don’t care who gets which but only want to get the number of each type
correct? (3)
Given that the group orders
15 of type 1
6 of type 2
3 of type 3
6 of type 4.
(o) In how many different ways can I distribute the cooldrinks amongst the 30 people, if I
do not care who ordered what? (4)
(p) What is the probability that a random division of the cooldrinks amongst the people
give each what they ordered?
Click here to see answer by ikleyn(52776) |
Question 1154280: In the olden days, computer file names were limited to 13 characters. They were
case sensitive ("A" and "a" are considered distinct) and there were some other
rules. Assuming that file names are limited to 13 characters, which are either
digits or letters, that the letters are case sensitive, and that no file name
can start with a number, how many possible file names are there?
Click here to see answer by Edwin McCravy(20054)  |
Question 1154668: A committee of three people is selected at random from as set of five teachers, 8 parents, and 4 alumni. What is the probability of the event that the committee consists of all teachers? Of all parents,or of 1 parent? Looking for 3 answers
Click here to see answer by greenestamps(13198)  |
Question 1154708: From a standard pack of 52 cards, three cards are selected at random. If the cards are selected from the pack one at a time and each card is replaced before the next one is drawn, what is the probability that they are the jack of spades, the two of clubs and the seven of diamonds?
The answer is  .
My working out was along the lines of this:
Click here to see answer by Alan3354(69443)  |
Question 1154708: From a standard pack of 52 cards, three cards are selected at random. If the cards are selected from the pack one at a time and each card is replaced before the next one is drawn, what is the probability that they are the jack of spades, the two of clubs and the seven of diamonds?
The answer is .
My working out was along the lines of this:
Click here to see answer by greenestamps(13198) |
Question 1154917: There are three boxes containing black and white balls. The number of each color is Box 1, 4 white and 2 black; Box 2, 3 white and 2 black; Box 3, 1 white and 2 black.
A) What is the probability that the last ball, drawn from box 3 is white?
B) What is the probability that the last ball drawn is black?
Click here to see answer by ikleyn(52776) |
Question 1154917: There are three boxes containing black and white balls. The number of each color is Box 1, 4 white and 2 black; Box 2, 3 white and 2 black; Box 3, 1 white and 2 black.
A) What is the probability that the last ball, drawn from box 3 is white?
B) What is the probability that the last ball drawn is black?
Click here to see answer by greenestamps(13198) |
Question 1155200: A committee is to be chosen from a group of fourteen women and twelve men. Determine the number of ways of choosing a female president, a male treasurer, and three other members (order doesn't matter) of either gender. Assume that no one can hold more than one office.
Click here to see answer by ikleyn(52776) |
Question 1155313: Radio station call letters in the US consist of three or four letters, of which the first must be either “K” or “W”. Assuming that letters many be repeated, determine the number of radio stations that can be assigned call letters. (Example: The logo/call letters for Iowa State University is KURE.)
Click here to see answer by Alan3354(69443) |
Question 1155743: A quick quiz consists of 5 multiple choice problems, each of which has 5 answers, only one of which is correct. You make random guesses on all 5 problems.
(a) How many different ways can you answer the quiz?
answer:
(c) What is the probability that at least one of your 5 answers is incorrect?
answer:
Click here to see answer by Boreal(15235)  |
Question 1155742: 5 -letter "words'' are formed using the letters A, B, C, D, E, F, G.
(Note that these "words" do not have to be real words and letters can be reused unless told otherwise)
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.
Your answer is :
(d) The letter C must be at the end.
Your answer is :
(e) The second letter must be a vowel.
Your answer is :
Click here to see answer by Boreal(15235) |
Question 1155989: In order to develop a more appealing cheeseburger a franchise uses taste test with six different bands eight different cheeses for types of lettuce and three types of tomatoes if the taste test we’re done at one restaurant I want tester who takes 10 minutes to eat Each cheeseburger approximately how long would it take to tester to eat all possible cheeseburg
Click here to see answer by greenestamps(13198) |
Question 1155989: In order to develop a more appealing cheeseburger a franchise uses taste test with six different bands eight different cheeses for types of lettuce and three types of tomatoes if the taste test we’re done at one restaurant I want tester who takes 10 minutes to eat Each cheeseburger approximately how long would it take to tester to eat all possible cheeseburg
Click here to see answer by ikleyn(52776) |
Question 1156025: On the dial of a telephone there are ten numbered holes, one of which is marked 0. If 0 is dialled first, the exchange is rung. In how many ways can a number of three digits be dialled without ringing the exchange?
Click here to see answer by BlGDAVE(19)  |
Question 1156025: On the dial of a telephone there are ten numbered holes, one of which is marked 0. If 0 is dialled first, the exchange is rung. In how many ways can a number of three digits be dialled without ringing the exchange?
Click here to see answer by ikleyn(52776) |
Question 1156024: At a conference of five powers, each delegation consists of three members. If each delegation sits together, with their leader in the middle, in how many ways can the members be arranged at a round table?
Click here to see answer by BlGDAVE(19) |
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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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