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Question 1059577: 117. On a shelf there are 4 books on Economics, 3 books on
Management and 4 books on Statistics. In how many
different ways can the books be arranged so that the
books on Economics are kept together?
1) 967680 2) 20960 3) 5040
4) 40320 5) None of these
Click here to see answer by addingup(3677)

Question 1059873: decide whether following is a permutation or combination. explain reasoning
a tourist in ireland wants to visit seven different cities. if the route is randomly selected, what is the probability that the tourist will visit the cities in alphabetical order? round answer to five decimal places.
at a raffle, 10,000 tickets are sold at $5 each for three prizes valued at $4,800, $1,200, and $400. What is the expected value of one ticket?
Click here to see answer by ikleyn(52778)

Question 1059870: decide if the situation involves permutations, or combinations. explain the reasoning.
The number of ways a jury of 12 can be selected from a pool of 20.
the number of ways 6 friends can be seated in a row.
how many different permutations of the letters in the word STATISTICS are there?
how many ways can two Republicans, one Democrat, and one Independent be chosen from nine Republicans, five Democrats, and two Independents to fill four positions on city council?
Click here to see answer by ikleyn(52778)

Question 1060513: there are 5 students on the bowling team 8 students on the track team and 4 students on the tennis team the only students on more than 1 team are the two students on the both bowling and tennis team teams. how many students are participating in these 3 sports
Click here to see answer by ikleyn(52778)

Question 1057559: Suppose there are 8 people on an elevator that can make up to 12 stops. How many different ways can these people exit the elevator?
Click here to see answer by TheDragonNest(3)

Question 1060735: how many three digit numbers have 3 distinct digits whose product is odd?
Click here to see answer by Alan3354(69443)

Question 1060749: A committee is to be formed consisting of 4 men and 6 women. If the committee members are to be chosen from 8 men and 10 women, how many different committees are possible?
A. 14,700
B. 254,016,000
C. 43,758
D. 280
Click here to see answer by jorel555(1290)

Question 1060778: Suppose the 12 members of a club plan to elect
a president, a vice-president and a treasurer.
How many different outcomes are possible for
the election, if each member is eligible for each
office and no one can hold 2 offices?
Click here to see answer by jorel555(1290)

Question 1060884: How many different arrangements of 3 letters can be formed if the first letter must be W & K(repeats of letters are allowed)?
Click here to see answer by Alan3354(69443)

Question 1060956: There are 6 students of whom 2 are Indians, 2 American, 2 Russian they have to stand in a row for a photograph so that the two Indians are together, two Americans are together and so also the two Russians find the number of ways in which they can do so.
Click here to see answer by ikleyn(52778)

Question 1060961: how many different passwords can be written using all digits in the number 11735
Click here to see answer by Lemusmke(1)

Question 1061007: In a certain country, telephone numbers have 9 digits. The first two digits are the area code, which is always 03. The last 7 digits are the local number. Any digit can be used in the local number. However, the local number must start with any number except 0.How many different telephone numbers are possible within a given area code in this country?
Click here to see answer by Boreal(15235)

Question 1061216: How many 4 digit numbers can we make using the digits 3 6 7 and 8 withtout repetition
Click here to see answer by Edwin McCravy(20054)

Question 1061109: Evaluate 12P6
Click here to see answer by Edwin McCravy(20054)

Question 1061362: Two co-captains are to be selected from the starting five for a basketball team. in how many ways can this be done?
Click here to see answer by Fombitz(32388)

Question 1061363: The student association each year selects a council consisting of seven members. if there are 10 candidates for the seven member council, how many different councils may be elected?
Click here to see answer by ikleyn(52778)

Question 1061558: In how many ways can 5 men and 7 women make up a special
committee if 5 persons are selected and at least 3 committee
members must be women?
Click here to see answer by Edwin McCravy(20054)

Question 1061620: A 60th class reunion is taking place. If you know that 19 women and 16 men are alive but only 12 can attend, what is the probability that you would have exactly 6 men and 6 women attend?
Click here to see answer by Boreal(15235)

Question 1061645: The football team is going to select three captains from their 60 players, 8 of which are seniors. How many possible captains can be picked if two have to be seniors?
Click here to see answer by Boreal(15235)

Question 1061664: in how many ways can10 people be seated in a round table if 3 persons want to sit next to one another?
Click here to see answer by josmiceli(19441)

Question 1061664: in how many ways can10 people be seated in a round table if 3 persons want to sit next to one another?
Click here to see answer by Edwin McCravy(20054)

Question 1061878: Tom is planning to leave from Cebu to Manila on Monday morning and has decided that he will take a plane or ship. There are five flights and two ships departing for Cebu that morning. When he returns on Sunday afternoon, he plans to either take a plane or hitch a ride on a helicopter with a friend. There are two flights departing from Cebu to Manila. In how many ways can Tom complete this round trip?
Click here to see answer by Theo(13342)

Question 1061877: Grade X-Amity will be given a test consisting of ten true-ir-false questions. If a penalty is imposed for each incorrect answer, so that a student may leave some questioned unanswered, in how many ways may the exam be completed?
Click here to see answer by stanbon(75887)

Question 1061948: How many five digits numbers divisible by 3 can be formed
using the digits 0, 1, 2, 3, 4, 7 and 8 if each digits is
to be used at most once.
Click here to see answer by Alan3354(69443)

Question 1061947: Four different movies are runing in a town. Ten students go to watch these four movies. The number of ways in which every movies watched by atleast one student, is
Click here to see answer by jorel555(1290)

Question 941398: What is the number of ways letters in the word KOMBINATOORIKA can be rearranged, such that no two consecutive letters are the same?
(the correct answer should be 710579520, not 100% sure though)
I tried first ordering 5 letters and then placing letters K in 6C2 ways, then A in 8C2 ways...etc, but with O-s it would make it different on when i select the three positions for them(whether 6C3,... or 6C2,8C2,11C3...), because i would need to multiply them at the end.
Also tried applying inclusion-exlcusion, but was unable to make it work.
Click here to see answer by jiju(1)

Question 1062041: In how many ways can a committee consisting of 3 faculty members and 5 students be formed if there are 10 faculty members and 15 students eligible to serve on the committee?
Click here to see answer by math_helper(2461)

Question 1062097: 8 people to choose four for a conference how many possibilities
Click here to see answer by math_helper(2461)

Question 1061960: Suppose you are a store manager for a department store and you have 10 floors. you want to put a display ad by the elevators on each floor. 3 displays are for store credit cards,3 displays are for the new store shopping app,2displays are for new cafe and 2 displays are for the store facebook page. How many permutation would you have ??
Click here to see answer by Theo(13342)

Question 1062236: A quarterback has 5 possible receivers in each play. How many different ways can he pass to 3 different receivers on 3 consecutive plays?
Click here to see answer by Alan3354(69443)

Question 1061885: Suppose there are ten roads from City A to City B and five roads from City B to City C.
a. How many routes are there from City A to City C passing through City B?
b. How many road-trips are there of the form A-B-C-B-A?
c. How many road-trips are there of the form A-B-C-B-A in which on return to trip we do not reverse the original route from A to C?
Click here to see answer by ikleyn(52778)

Question 1061959: Suppose you are a store manager for a department store and you have 10 floors. you want to put a display ad by the elevators on each floor. 3 displays are for store credit cards,3 displays are for the new store shopping app,2displays are for new cafe and 22displays are for the store facebook page. How many permutation would you have ??
Click here to see answer by stanbon(75887)

Question 1062364: i have a sets of number 1,2,7,7,7. what is the formula to count how many 3-digit number possible combinations using that sets, with these conditions of combinations must be unique. the result (13 combinations) are
127
172
177
217
271
277
712
717
721
727
771
772
777
And if i a have a set of 1,2,3,7,7,7, there will be 34 possible combinations.
thanks in advance.
Click here to see answer by Edwin McCravy(20054)

Question 1062439: Rohan have some books and some tables.If he puts 9 books into each table he will have two tables left vacant.If he puts 6 books on each table he will have 3 books left over.Find the numbers of books?
Click here to see answer by Edwin McCravy(20054)

Question 1062501: a) how many 3-digit numbers can be formed using only 2,3,5,6,7 and 9 with no repeats?
b)how many of these numbers are less than 400?even?odd?multiple of5?

Click here to see answer by Alan3354(69443)

Question 1062617: A long wire of some length is cut into small pieces of 216 cm, leaves a small piece of length of 89 cm. If this part were cut into equal pieces each of 18 cm, then what is the length of the leftover wire?
Click here to see answer by Alan3354(69443)

Question 1062625: A male and a female typist are needed in an Institution. If 10 ladies and 15 gentlemen apply, then in how many ways can the selection be made, given that one particular pair does not wish to be together.
(a) 125
(b) 145
(c) 149
(d) None of these
Click here to see answer by rfer(16322)

Question 1061789: A committee consists of a President, a Vice President, a Treasurer, and a Secretary. The posts are to be drawn from 30 people (7 males, 23 females), and it allows a person to hold more than one post, provided that one of them is not a President.

In how many ways can this committee be organized?

Click here to see answer by jorel1380(3719)

Question 1062682: 4 mothers with four children walk in for a interview. Find the no of ways
to schedule this interview such that no child is interviewed before
her mother.
Click here to see answer by Edwin McCravy(20054)

Question 1062718: 4 boys and 2 girls are sitting on a bench
1) what is the number of possible dispositions
2) same question if the boys are sitting on a side and the girls are on the other side
3) same question if each girl is sitting between 2 boys
4) same question if the 2 girls want to sit next to each other
Click here to see answer by josmiceli(19441)

Question 1062717: 4 boys and 2 girls are sitting on the bench
1) what is the number of possible dispositions
2) same question if the boys are on a side and the girls are on the other side
3) same question if each girl is sitting between 2 boys
4) same question if the girls want to sit next to each other
Click here to see answer by Edwin McCravy(20054)

Question 1062784: 3 girls for every 2 boys.261 girls and b boys.
Click here to see answer by ikleyn(52778)

Question 1062835: Using odd numbers 1,3,5,7,9,11,13,15 use any three odd numbers add we get 30
Click here to see answer by Edwin McCravy(20054)

Question 1063052: in how many ways can we select a class president from a group of 4 scholars, a secretary from a group of 3 girls, and an adviser from a group of 3 professors?
Click here to see answer by Edwin McCravy(20054)

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