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Question 1126531: In how many ways can a committee of 4 be selected from 8 and 6 men if Marge (One of the ladies) refuses to serve in the same committee as her ex-boyfriend, Joel (one of the 6 men).
Click here to see answer by ikleyn(52776)

Question 1126529: A woman has 11 friends and she would like to invite 5 of them for a get together, in how many ways can this be done if 2 of her 11 friends are married and will not attend separately?

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Question 1126717: nCn-4=15 find value of n
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Question 1126877: Three bolts and three nuts are put in a box. If two parts are chosen at random without replacement, find the probability that
both are bolts

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Question 1127054: A treatment for hypertension relief can be acquired from 5 different manufacturers in capsule, liquid, or tablet form, all of which come in regular and extra strength. How many different ways can a specialist prescribe the treatment for a patient suffering from hypertension?
Click here to see answer by greenestamps(13198)

Question 1127153: a garden has 15 slots for flowering pots. In how many ways can the pots be arranged if the garden lies beside a horizontal pathway?
Click here to see answer by ikleyn(52776)

Question 1127389: There are 6 students in a small class. To make a team, the names of 2 of them will be drawn from a hat. How many different teams of 2 students are possible?

Click here to see answer by stanbon(75887)

Question 1127394: A catering service offers 12 appetizers, 5 main courses, and 6 desserts. A customer is to select 8 appetizers, 4 main courses, and 2 desserts for a banquet. In how many ways can this be done?
Click here to see answer by FrankM(1040)

Question 1127579: Simplify the following:
a.) (n+2)!
---------------------
(n+1) (n-1)!
b.) 10!
-------------------
4! 7!
Click here to see answer by MathLover1(20849)

Question 1127579: Simplify the following:
a.) (n+2)!
---------------------
(n+1) (n-1)!
b.) 10!
-------------------
4! 7!
Click here to see answer by greenestamps(13198)

Question 1127576: A multiple choice test has 5 questions. Each question has 1 answer, either a, b, or c.
a.) In how many different ways can the 5 questions be answered?
b.) If 3 questions must be answered with a , and 2 questions must be answered with b, how many ways can the questions be answered?
Click here to see answer by Boreal(15235)

Question 1127578: List all of the subsets of the set A={a,b,c,d}
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Question 1127577: Two dice are rolled, find the probabilities of the following events
a.) the sum of the dice is 9
b.) the sum is greater than 10
c.) the sum is less than 6

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Question 1127574: The freshman class at a college has a total of 250 students. One hundred and ten freshmen take math and 200 take English, while 75 take neither. How many freshman take both math and English?
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Question 1127828: How many different 12-member juries can be made from 150 people?
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Question 1127829: A pizza place offers 6 different cheeses and 12 different toppings. In how many ways can a pizza be made with 1 cheese and 3 toppings?
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Question 1128192: A committee of 6 people is chosen from 9 women and 9 men. How many different
committees are possible that consist of 3 women and 3 men?

Click here to see answer by Edwin McCravy(20054)

Question 1128273: A card is selected at random from an ordinary deck of playing cards. Find the probability that the card is a)is heart b) is black c)a 4 or 8 d)a red queen
Thank you in advance.

Click here to see answer by Quadratic1600(28)

Question 1128276: A box contains five red, two white and three green balls. If a ball is selected at random, find the probability that it is
a)red
b)green
c)not red
d)black
e)white
Click here to see answer by Quadratic1600(28)

Question 1128274: Our topic is about Postulates.
A coin is tossed four times.
a)List of all the possible outcome
b)Find the probability that no tail turns up
c)Find the probability that exactly one head turns up
d)Find the probability that at least 3 tails turn up
Thank you in advance.
Click here to see answer by Quadratic1600(28)

Question 1128275: A large box contains 365 tickets, one for each day of an ordinary year. Suppose one ticket is selected at random.
a)Find the probability that the selected day is in December.
b)Find the probability that the selected day is your birthday. (If you were born on February 29 on a leap year, the probability is 0 since there is no ticket for your birthday.)

Click here to see answer by Quadratic1600(28)

Question 1128279: A box contains 5 tickets numbered 1 through 5. A ticket is selected at random and a die is rolled.
a) List the elements of the sample space.
b) What is the probability that the sum of the numbers is even?
c) What is the probability that the number on the ticket is the same as the number on the die?
Click here to see answer by Quadratic1600(28)

Question 1128380: Suppose that we have a 15-letter alphabet. How many 6-letter words have exactly 3 consecutive letters the same?
Click here to see answer by Edwin McCravy(20054)

Question 1127575: A 3 card hand is drawn from a standard 52 card deck.
a.) How many 3 card hands are possible?
b.) How many hands, if all 3 cards must be of the same suit?
c.) How many hands, if no 2 cards are of the same suit?
Click here to see answer by Edwin McCravy(20054)

Question 1128606: (a) A certain committee consists of 17 people. From the committee, a president, a vice-president, and a treasurer are to be chosen. In how many ways can these 3 offices be filed? Assume that a committee member can hold at most one of these offices.
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Question 1129070: how many distinguishable permutation are possible with all letters of the word ELLIPSES

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Question 1129070: how many distinguishable permutation are possible with all letters of the word ELLIPSES

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Question 1129119: In a group of 8 people, what is the probability that at least 2 persons have the same birthday. (the same month and day, excluding February 29)
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Question 1129362: In a certain state license plates consists of 3 digit followed by 4 letters fint the number of license plates possible if the first digit must be a 9 and the last letter must be a P and repetition is not allowed.
Im not sure if the solution would be 9x10x9x26x25x24x25
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Question 1129696:
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Question 1129788: prove that ncr+2[ncr-1]+ncr+2=n+2cr+2
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Question 1129831: How many different arrangements of 6 letters
can be formed if the first letter must be W or K (repeats of letters are allowed)?
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Question 1129848: a committee of five is going to be selected from a group of twenty people. How many different committees are possible if one person is the chair and the rest are general members?
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Question 1129916: How many ways are there to place 4 distinct balls into 5 distinct boxes such that exactly 3 of the 5 boxes do not have any balls?
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Question 1129916: How many ways are there to place 4 distinct balls into 5 distinct boxes such that exactly 3 of the 5 boxes do not have any balls?
Click here to see answer by ikleyn(52776)

Question 1129994:
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Question 1129999: The U.S. Senate has 100 members. Suppose that it is desired to place each senator on exactly 1 of 7 possible committees.
The first committee has 22 members, the second has 13, the third has 12, the fourth has 7, the fifth has 16, and the sixth and seventh have 15 apiece. In how many ways can these committees be formed?
The answer is C(100,22)*C(78,13)*C(65,12)*C(53,7)*C(46,16)*C(30,15)*C(15,15). But I don't know how to calculate that into scientific notation, rounded to 4 decimal places.
Click here to see answer by ikleyn(52776)

Question 1130064: The coach of the winning basketball team chooses 3 of the 15 members to be interviewed by a sports reporter. In how many ways can the members to be interviewed be chosen?
Click here to see answer by josmiceli(19441)

Question 1129847: Compute the number of a 5-card poker hands containing 2 any Aces, 2 any Kings, and 1 any queen.
Click here to see answer by Edwin McCravy(20054)

Question 1130162: Using the digits 0,1,2,3,4,6 and 7. How many 3-digit even numbers between 200 and 600 can be made? What will be their sum?
Click here to see answer by greenestamps(13198)

Question 1130267: A basketball coach selects two players from a group of 8 and sends them to an international training program. Find the probability that Devonte is chosen given than Damien has already been chosen.
(Express your answer as a fraction in simplest form or as a decimal correct up to four decimal places.)
Click here to see answer by ikleyn(52776)

Question 1130264: Suppose four integers are chosen successively at random between 0 and 12, inclusive. Find the probability that:
(Round your answer to four decimal places if necessary.)
a. they are all different?
b. not more than 2 are the same?
Click here to see answer by math_helper(2461)

Question 1130612: How many 4-digit even numbers that are between 3000 and 7000 can be made? What is their sum?
Click here to see answer by rothauserc(4718)

Question 1130612: How many 4-digit even numbers that are between 3000 and 7000 can be made? What is their sum?
Click here to see answer by MathTherapy(10551)

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