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Question 1162096: 2 six-sided dice, one green and one red, are released. Find the probability that :
each die shows a score of 5.
Multiple choice answers:

a. 1 / 36
b. 1 / 6
c. 2 / 6
d. 1 / 18
Click here to see answer by solver91311(24713)

Question 1162095: In a professional division of a Hockey league, there are 9 total teams. How many different rankings are possible at the end of the year? (Hint: there are no ties.)
Multiple choice answers:
a. 181,440
b. 362,880
c. 3,628,750
d. 40,320
Click here to see answer by solver91311(24713)

Question 1162094: A knitting club has 14 members. It has to send a team of 5 knitters to a knitting competition in the neighboring town. Find the number of different knitting teams that can be sent.
Multiple choice answers:
a. 2,002
b. 240,240
c. 2,200
d. 4,004
Click here to see answer by solver91311(24713)

Question 1162135: Twelve presidents, 5 males and 7 females, attending a summit on climate decide to conclude the summit with a photo shoot. In how many ways different can they arrange themselves in a single row, if the males must be kept together?

Click here to see answer by ikleyn(52776)

Question 1162134: Twelve presidents, 5 males and 7 females, attending a summit on climate decide to conclude the summit with a photo shoot. In how many ways different can they arrange themselves in a single row, if the males must be kept together?
Click here to see answer by ikleyn(52776)

Question 1162160: How many 7 digit phone numbers are possible if the first digit cannot be 0 or 1 and the first 3 digits cannot be 911 or 411?
Click here to see answer by ikleyn(52776)

Question 1162160: How many 7 digit phone numbers are possible if the first digit cannot be 0 or 1 and the first 3 digits cannot be 911 or 411?
Click here to see answer by greenestamps(13198)

Question 1161886: A guidance councilor wants to find the percentile rank for a child scoring 109 on the wechshler IQ test. Assuming the scores in this standardized test is approximately normally distributed with a population mean of 100 and a standard deviation of 15. What is the percentile rank for the child scoring 109?
Click here to see answer by Boreal(15235)

Question 1162378: 2 six-sided dice, one green and one red, are released. Find the probability that each die shows a score of 5.
Click here to see answer by Alan3354(69443)

Question 1162447: What is the probabilty of getting a sum of 9 from two throws of dice?
a. 1 / 4
b. 1 / 3
c. 1 / 6
d. 1 / 9
Click here to see answer by Theo(13342)

Question 1162447: What is the probabilty of getting a sum of 9 from two throws of dice?
a. 1 / 4
b. 1 / 3
c. 1 / 6
d. 1 / 9
Click here to see answer by MathTherapy(10551)

Question 1162449: The faces of a normal die are numbered from one to six. Three such dice are used in an experiment. The first one is thrown and the number shown on the top face is a five. The second and third dice are then thrown. Calculate, as a fraction, the probability that :
All three numbers shown are odd:
a. 1 / 2
b. 1 / 4
c. 2 / 3
d. 1 / 6
Click here to see answer by Boreal(15235)

Question 1162445: An experiment starts with four cards which are numbered 1, 4, 6 and 9 respectively.
Two cards are chosen at random. FInd the probability that the number on each card is even.
a. 1 / 6
b. 2 / 5
c. 1 / 4
d. 2 / 3
Click here to see answer by Boreal(15235)

Question 1162451: Eight friends are to make a trip in 2 cars, with 4 people in each car. In how many ways can this be done?
a. 1,680
b. 100
c. 70
d. 120
Click here to see answer by ikleyn(52776)

Question 1162479: How many different
14-person committees can be selected from a pool of
26 people?
Click here to see answer by Edwin McCravy(20054)

Question 1162479: How many different
14-person committees can be selected from a pool of
26 people?
Click here to see answer by ikleyn(52776)

Question 1162481: A committee of three people is selected at random from a set consisting of
six teachers,
three parents of students, and
four alumni.
a. What is the probability of the event that the committee consists of all teachers?
b. What is the probability of the event that the committee consists of all parents?
c. What is the probability of the event that there will be at least 1 teacher on the committee?
Click here to see answer by Boreal(15235)

Question 1162567: 1.how many ways can a disc jokey plays 3 songs out of 5 most requested songs?
2. In a given examination, a student is required to answer 5 of the 7 questions, 3 of which must be taken from the first 4 questions. In how many ways can he answer the examination?
3.How many numbers can be formed out of the digits 1,2,3 where repetition on the digits is not allowed?
4.In how many ways can 7 people be seated at a round table if:
a. they can sit anywhere
b. Three particular people must sit next to each other.
c.Three particular people must NOT sit next to each other.

Click here to see answer by ikleyn(52776)

Question 1162584: A pollster randomly selected 4 of 10 available people. How many different groups
of 4 are possible?
Click here to see answer by ikleyn(52776)

Question 1162583: A telephone number consists of seven digits, the first three representing the ex-
change. How many different telephone numbers are possible within the 537
exchange?
andAn overnight express company must include five cities on its route. How many dif-
ferent routes are possible, assuming that it does not matter in which order the cities
are included in the routing?
44. A representative of the Environmental Protection Agency (EPA) wants to select
samples from 10 landfills. The director has 15 landfills from which she can collect
samples. How many different samples are possible?
45. Sam Snead’s restaurant in Conway, South Carolina, offers an early bird special
from 4 - 6 pm each week day evening. If each patron selects a Starter Selection (4
options), an Entrée (8 options), and a Dessert (3 options), how many different
meals are possible?
46. A company is creating three new divisions and seven managers are eligible
to be appointed head of a division. How many different ways could the three
new heads be appointed? Hint: Assume the division assignment makes a
difference.
Click here to see answer by ikleyn(52776)

Question 1162657: Let N = abcabc and M = defdef, where a,b,c,d,e,f ∈ {0,1,...,9} are distinct digits and a,d > 0. Determine all solutions to N = 9*M/64.
Click here to see answer by ikleyn(52776)

Question 1162656: The positive integers 1,2,3,4,...,m are written one after another to form the integer L = 123456789101112131415 . . .. What is the smallest integer m > 2020 for which L is divisible by 9?
Click here to see answer by greenestamps(13198)

Question 1162655: A three by three grid is divided into nine unit squares. The top left unit square is shaded. Each of the other eight unit squares is either shaded or unshaded. How many such grids do not contain a two by two square in which each of its four unit squares is unshaded?
Click here to see answer by greenestamps(13198)

Question 1162812: There are 3 math books and 3 history books that are to be arranged on a shelf. How many different ways can the books be arranged on the shelf if:
A) Two history books are to be kept together, and 2 mathematics books are also kept together?
B) Two math books should immediately follow the 2 history books, and vice versa?
(A & B are separate from each other)
Thank you so much!
Click here to see answer by greenestamps(13198)

Question 1162853: can the standard 'permutations' formula { nPr = n! / (n - r)! } be extended to consider multiple variables? or, is there another approach to solving this problem:
the above formula calculates the permutations of subsets (r) from the set (n). But I want to calculate the permutations of 3 or more different variables ... so, how many permutations of colourful bookshelves would I have, if I'm stacking
100-1000 books of
2-10 colours on
5-100 shelves
Click here to see answer by solver91311(24713)

Question 1162854: Q.1In a poker hand consisting 5 playing cards. What is the probability of holding
(i) 2 aces and 2 kings
(ii) 5 spades
Q.2
A card is drawn from a well-shuffled pack of 52 playing cards. Find the probability that it is
(i) either a diamond or a pictured card
(ii) either a heart or a black card

Click here to see answer by solver91311(24713)

Question 1162946: From a group of 6 girls and 7 boys, how many 5-member committees consist of: members of the same gender?
Click here to see answer by ikleyn(52776)

Question 1162945: A special committee of 5 members is to be chosen from 6 freshman and 4 sophomores. Fine the number of ways in which this can be done if there are no restrictions.

Click here to see answer by ikleyn(52776)

Question 1162948: From a group of 6 girls and 7 boys, how many 5-member committees consist of :
more boys than girls?
Click here to see answer by jim_thompson5910(35256)

Question 1162947: A committee of 5 members is to be selected from 6 seniors and 4 juniors. Fine the number of ways in which this can be done if the committee has at least 1 junior.
Click here to see answer by jim_thompson5910(35256)

Question 1162968: There are 5 girls in a tennis class. How many different doubles teams of two girls each can be formed from the students in the class

Click here to see answer by ikleyn(52776)

Question 1163129: There are cyclists in a race. There will be a first-place and a second-place prize awarded. In how many different ways can the prizes be awarded?
Click here to see answer by ikleyn(52776)

Question 1162652: In a restaurant, 10 customers are lined up to order. The first customer in line is assigned the number 1, the second customer in line is assigned the number 2, and so on, with the tenth customer being assigned the number 10. Each customer will pay for their order in exactly one of three different ways (cash, credit or debit) according to the following guidelines:
• Customers assigned the numbers p and q use different methods to pay whenever p − q is equal to an odd number.
• It is not required that all 3 payment methods are used.
In total, how many different ways can the 10 customers pay?
Click here to see answer by greenestamps(13198)

Question 1163192: kristen's financial advisor has given her a list of 8 potential investments and has asked her to select and rank her favorite four. In how many different ways can she do this?
Click here to see answer by ikleyn(52776)

Question 1163208: There are 3 math books and 3 history books that are to be arranged on a shelf. How many different ways can the books be arranged on the shelf if 2 history books are to be kept together and 2 mathematics books are also to be kept together? The two math books should be immediately followed by the 2 history books and vice versa.
Click here to see answer by greenestamps(13198)

Question 1163191: 33. Baseball. For the 2002 baseball season, there were 16 teams in the national league. The teams were divided into 3 divisions as follows; 5 teams in the east division, 6 teams in the central division, and 5 teams in the west division. Four of these teams participate in the playoffs. The division winner from each division goes to the playoffs; in addition, the remaining team with the best record participates in the playoffs as the wild card team. How many different collections of four teams from the national League could go to the playoffs?
Click here to see answer by solver91311(24713)

Question 1163219: If nPr = 336 and nCr = 56, find n and r.
Please note that:
P and C are permutation and combination respectively.
Click here to see answer by ikleyn(52776)

Question 1163219: If nPr = 336 and nCr = 56, find n and r.
Please note that:
P and C are permutation and combination respectively.
Click here to see answer by solver91311(24713)

Question 1163219: If nPr = 336 and nCr = 56, find n and r.
Please note that:
P and C are permutation and combination respectively.
Click here to see answer by MathTherapy(10551)

Question 1163228: s A particular cell phone company
offers 4 models of phones, each in 6 different colors and
each available with any one of 5 calling plans. How
many combinations are possible?
Click here to see answer by ikleyn(52776)

Question 1163439: Mr. Jan has six coffee mugs in his desk. In how many different ways can he choose two coffee mugs?
Click here to see answer by ikleyn(52776)

Question 1163565: Calculate the standard deviation of 4; 5; 6; 7; 8; 9; 10; 11;12; 13; 13; 15
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