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Question 1110224: from a group of 40 people, a jury of 12 people is selected. in how many different ways of 12 people be selected
Click here to see answer by Alan3354(69443)

Question 1110224: from a group of 40 people, a jury of 12 people is selected. in how many different ways of 12 people be selected
Click here to see answer by rothauserc(4718)

Question 1110532: In how many different ways can the digits in the number 8,440,000 be arranged?
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Question 1110534: A signal can be formed by running different colored flags up a pole, one above the other. Find the number of different signals consisting of 8 flags that can be made using 4 white flags, 2 red flags, and 2 blue flags.
Click here to see answer by ikleyn(52776)

Question 1110531: There are 7 performers who will present their comedy act this weekend at a comedy club. One of the performers insists on being the last stand-up comic of the evening. If this performer's request is granted, how many different ways are there to schedule the appearances?
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Question 1110583: how many groups of 4 can you get from 14 different people
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Question 1110654: In how many ways can a team of 20 hockey
players be accommodated in 10 two-person
hotel rooms? Assume that the order of
assigning the rooms does not matter.
Click here to see answer by stanbon(75887)

Question 1110669: The following problem refers to strings in A, B, ..., Z.
How many four-letter strings are there that begin with L ?
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Question 1110529: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen from the deck.
How many hands contain exactly 3 aces?
Click here to see answer by Fombitz(32388)

Question 1110776: find the number of distinguishable permutations that can be made from the letters of the word ANTARCTICA
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Question 1110777: in how many ways can five people boarding a bus be seated if the bus has eight vacant seats?
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Question 1110775: in how many ways can an investor select four mutual funds for his investment portfolio from a recommended list of eight mutual funds?
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Question 1110965: Please help me and solve this assignment in how many ways can a committee of 6 sit round S table

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Question 1110988: A group of 63 people are at an American sign language event. There are 6 rows of seats for the event. There are 9 seats in each row. All the seats are filled. Let p represent the number of people standing. Which number sentence can be used to find how many people are standing.
Click here to see answer by ikleyn(52776)

Question 1111258: Can you please explain the answer to this problem:
How many different ways can a visiting nurse visit 9 patients if she wants to visit them all in one day.
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Question 1111294: Five digit numbers are made using the numbers 0 to 7. Determine the number of odd numbers that can be made if each digit can only be used once.

Click here to see answer by greenestamps(13198)

Question 1111379: If the police have 8 suspects, how many different ways can they select 5 for a lineup?
The answer that I came up with was 6720 ways. But its wrong. Was i supposed to do this problem as a permutation or a combination? Or neither?
Click here to see answer by stanbon(75887)

Question 1111368: In how many ways could 19 people be divided into five groups containing, respectively, 2, 3, 7, 6, and 1 people?
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Question 1111451: Write 13C5 in terms of factorials
Click here to see answer by ikleyn(52776)

Question 1111450: A bag contains 18 blocks, 7 of which are red, 8 are blue, and the rest are green. If 7 blocks are selected randomly, determine the number of ways that at least 2 blocks of each colour are included

Click here to see answer by Boreal(15235)

Question 1111449: A survey group of 6 students are chosen at random from 25 elementary students and 13 high school students. Determine the number of ways that at least 2 of the students chosen are elementary students.
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Question 1111546: how do you reduce 125/100? I keep getting 5/4 but the answer is 1/8.
Click here to see answer by Alan3354(69443)

Question 1111682: A restaurant donated 6 identical gift cards to be raffled off at a local charity event. At the charity's fundraising event, 14 people buy a raffle ticket to try to win one of the gift cards, and their raffle tickets are placed into a single can. The raffle organizer then randomly picks 6 tickets from the can to determine the gift card winners. How many possible outcomes are there?
Click here to see answer by ikleyn(52776)

Question 1111681: An unbiased coin is tossed 13 times. In how many ways can the coin land tails either exactly 9 times or exactly 2 times?
Click here to see answer by math_helper(2461)

Question 1111761: Please help!!
Question:
A box contains 4 red and 7 green marbles. You reach in and remove 2 marbles all at once. What is the probability of picking one red marble, and one green marble?
Click here to see answer by rothauserc(4718)

Question 1111768: in the game of blackjack a 2 card hand consisting of an ace and either a face card or a 10 is called a "blackjack" if a standard 52 card deck is used determine how many blackjack hands can be dealt. (a face card is a jack, queen, or king)
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Question 1112339: C(10,r)=120
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Question 1112358: in how many ways can a subcommittee of four be chosen from a Senate committee of five Democrats and four Republicans if: a) all members are eligible b) the subcommittee must consist of two Republicans and two Democrats
Click here to see answer by Boreal(15235)

Question 1112357: a company car that has a seating capacity of six is to be used by six employees who have formed a carpool. if only four of these employees can drive, how many possible seating arrangements are there for the group?
Click here to see answer by Boreal(15235)

Question 1112943: The number of ways in which the letters
x1,x2,.....,x10,y1,y2,....,y15 can be arranged in the line
such that the suffixes of
x and those of
y are in ascending order of magnitude is

Click here to see answer by ikleyn(52776)

Question 1113249: If asked 21 questions, each with 3 possible answers, how many total answers are possible?
Click here to see answer by Alan3354(69443)

Question 1113489: A builder offers 10 different house models on 3 lot sizes in 2 different subdivisions in the same community. How many different choices does the home buyer have with this builder in this community? Assume every hous model fit on every lot size.
Click here to see answer by ikleyn(52776)

Question 1113526: In how many ways can a baseball coach assign positions to a team of nine men if only two men are qualified to be a pitcher, and only three other men are qualified to be the catcher, but all of the men are qualified to play any other position.
Click here to see answer by Boreal(15235)

Question 1113559: In how many ways can a president, vice president, and secretary be chosen from a class of 30 students?
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Question 1113561: In an exam, two reasoning problems, 1 and 2, are asked. 35% students solved problem 1
and 15% students solved both the problems. How many students who solved the first
problem will also solve the second one?
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Question 1113562: A bag contains 20 tennis balls, of which four are defective. If two balls are selected at
random from the bag, what is the probability that both are defective?
Click here to see answer by math_helper(2461)

Question 1113694: Every day of your extended ski vacation, your family of 7 gets in line at the cafeteria, but in a different order. On the last day, however, you can't help repeating a previous order. How many days did your vacation last?

Click here to see answer by ikleyn(52776)

Question 1113745: A poker hand consists of five cards from a standard deck of 52. Find the number of different poker hands of the specified type.
Three of a kind (three of one denomination, one of another denomination, and one of a third)
For those unfamiliar with playing cards, here is a short description. A standard deck consists of 52 playing cards. Each card is in one of 13 denominations: ace (A), 2, 3, 4, 5, 6, 7, 8, 9, 10, jack (J), queen (Q), and king (K), and in one of four suits: hearts (), diamonds (), clubs (), and spades (). Thus, for instance, the jack of spades, J, refers to the denomination of jack in the suit of spades.

Click here to see answer by math_helper(2461)

Question 1113772: A bag contains three red marbles, two green ones, one lavender one, two yellows, and three orange marbles.
How many sets of five marbles include at least two red ones?
sets
Click here to see answer by greenestamps(13198)

Question 1113771: How many five-letter sequences are possible that use the letters q, u, a, k, e, s at most once each?

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Question 1114136: In how many ways 7 different books can be arranged on a shelf? In how man many ways will a specified book be (I) at the centre? (II)
at either end?
Click here to see answer by ikleyn(52776)

Question 1114134: Four out of 10 balls are red, some are green, and the rest are of different colors. If the balls can be arranged in 6300 ways, find the number of green balls.

Click here to see answer by greenestamps(13198)

Question 1114142: In how many ways can 4 gentlemen and 2 ladies be seated at a round table so that the ladies are not together? In how many of these ways will three particular gentlemen be next to each other?
Click here to see answer by ikleyn(52776)

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