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Question 1175414: From a group of 10 joggers and 15 nonjoggers, a university researcher will choose 5 people to participate in a study of heart disease.
a. In how many ways can this be done if it does not matter how many of those chosen are joggers and how many are nonjoggers?
b. In how many ways can this be done if exactly 3 joggers must be chosen?
c. Find the probability that exactly 3 of the 5 people randomly selected from the group are joggers.
Click here to see answer by VFBundy(438)

Question 1175413: How many ways are there to choose a chairperson and a co-chairperson from a group of 7 people?
Click here to see answer by ewatrrr(24785)

Question 1175412: Mumuni bawumia, a farmer sells 500 litres of fresh milk a day with a standard deviation of 35 litres. given that the daily sales of fresh milk is normally distributed. what is the probability that the sales in any single day is greater than 506 litres.

Click here to see answer by ewatrrr(24785)

Question 1175410: A caterer is arranging a row of desserts. The row will contain 8 platters of cookies, 5 trays of fruit, and 3 pies. In how many distinct ways can the cookies, fruit, and pies, be arranged in a row, if each type of desert is of the same kind?
Click here to see answer by ewatrrr(24785)

Question 1175408: 3 cards are selected from the 9 cards and arranged in a line. How many different possible arrangements of 3 selected cards do not have the pink card
next to the green card?
Click here to see answer by ewatrrr(24785)

Question 1175421: Nine cards, all in a different colour, 3 cards are selected from the 9 cards and arranged in a line. How many different possible arrangements of 3 selected cards do not have the pink card next to the green card?
Click here to see answer by ikleyn(52780)

Question 1175422: Find the number of ways of arranging all 12 letters of word STRAWBERRIES where
the first and the last letters are vowels.
Click here to see answer by greenestamps(13200)

Question 1175422: Find the number of ways of arranging all 12 letters of word STRAWBERRIES where
the first and the last letters are vowels.
Click here to see answer by Edwin McCravy(20054)

Question 1175250: Find the number of ways of arranging all 12 letters of word STRAWBERRIES where the first and the last
letters are vowels.
Click here to see answer by Edwin McCravy(20054)

Question 1175456: A security code is to be formed by using three alphabets and four digits chosen from the alphabets a,b,c,d,e and digits 1,2,3,4,5,6,. All digits and alphabets can only be used once. Find the number of different ways the security code can be formed if there is no restriction imposed.
Click here to see answer by ikleyn(52780)

Question 1174673: How many passwords, consisting of 4 letters followed by 3 numbers, are possible if:
a. Letters and digits may be repeated?

Click here to see answer by Solver92311(821)

Question 1175608: In a school club, there are 5 possible choices for the president, a secretary, a treasurer, and an auditor. Assuming that each of them are qualified for any of these positions, in how many ways can the 4 officers be elected?
Click here to see answer by ikleyn(52780)

Question 1175609: How many ways can eight campers be arranged around a campfire?
Click here to see answer by ewatrrr(24785)

Question 1175610: Coloso University uses a 5-digit restriction to distribute mails and packages. How many ZIP codes are there if there are no digit restrictions? How many ZIP codes are possible if repetition is not allowed?
Click here to see answer by ikleyn(52780)

Question 1175611: Suppose the first digit is always 6 and 6 will not appear in the 2nd, 3rd, fourth, and fifth. Digits are restricted.
Click here to see answer by ikleyn(52780)

Question 1175611: Suppose the first digit is always 6 and 6 will not appear in the 2nd, 3rd, fourth, and fifth. Digits are restricted.
Click here to see answer by ewatrrr(24785)

Question 1175612: How many polygons can be possibly formed from 6 distinct points on a plane, no three of which are collinear?
Click here to see answer by MathLover1(20849)

Question 1175671: Provided an adequate supply of flags in each of seven colors, how many ways are there to arrange a 5-flag set?
Click here to see answer by ikleyn(52780)

Question 1174676: A certain state uses license plates that have six characters. The first two
characters can be either letters or numbers. The last four characters should be
a consonant letters. How many license plates can be made if:
a. repetition is allowed? b. repetition is not allowed?

Click here to see answer by Edwin McCravy(20054)

Question 1175816: If only the digits 0, 1, 3, 4, 5, 6, and 7 may be used, find the number of possible three-digit numbers that can be formed.
The number of different three-digit numbers is
Click here to see answer by greenestamps(13200)

Question 1175904: Can I use permutation to solve this question?
Nine cards, all in a different colour, 3 cards are selected from the 9 cards and arranged in a line.
How many different possible arrangements of 3 selected cards do not have the pink card next to the green card?
My solution:
9P3=504
(P next to G)=2*2*7P1=28
(P away from G)=504-28=476

Click here to see answer by ikleyn(52780)

Question 1175935: There are 5 boys and 8 girls at a dance if hetty and betty refuse to dance with blake and drake and granny will not dance with either hepsibah or cillisue how many ways may dancing couples be paired
Click here to see answer by ikleyn(52780)

Question 1175991: There are 5 boys and 4 girls forming a line to pay for the ticket to watch Frozen 2. In how many ways can they be arranged if 3 particular persons must stand beside each other?
Click here to see answer by math_tutor2020(3816)

Question 1175990: How many ways can 25 people be seated in a round table of there are 15 chairs?
Click here to see answer by ewatrrr(24785)

Question 1176169: Registrants at a large convention are offered 6
sightseeing tours on each of 3 days. In how manyways can a person arrange to go on a sightseeing tour
planned by this convention?
Click here to see answer by Boreal(15235)

Question 1176322: A student has room for six books on a shelf near his study area. The books are a dictionary and textbooks of chemistry, english, history, mathematics, and philosophy. In how many ways can they be arranged if the math and philosophy books are to fit together?
Click here to see answer by ewatrrr(24785)

Question 1176391: A college club has 18 members, of which 10 are men and 8 are women. The manager of the club is one of the men. A committee of 5 members will be formed, where the administrator must be.
(a) How many committees can be formed that have 2 women and 3 men?
(b) How many committees can be formed in which there is no less than one woman?
Click here to see answer by math_tutor2020(3816)

Question 1083751: From 5 physicists, 4 chemists and 3 mathematicians a committee of 6 is to be chosen so as to include 3 physicists, 2 chemists and 1 mathematician in how many ways can this be done?
Click here to see answer by muthbab@gmail.com(5)

Question 1176410: Question: There are 5 physicists, 4 chemists, and 3 mathematicians. In how many ways can the committee of 6 be chosen so that AT LEAST 3 members of the committee are physicists?
My answer: C(5,3) = 10.
Once the three physicists are selected, since it is AT LEAST, the remaining 2 physicists can still be selected which makes available candidates for the remaining 3 positions n = 9
We need another 3. so C(9,3) = 84.
Therefore, the number of ways the committee could be chosen is 10 X 84 = 840
But the book says 462.
What am I doing wrong?
Thanks for your help.
Click here to see answer by Boreal(15235)

Question 1176493: How many distinguishable permutations are possible with all the letters of the word MISSISSIPPI?
Click here to see answer by ikleyn(52780)

Question 1176491: How many distinguishable permutations are possible with all the letters of the word ELLIPSES?
Click here to see answer by MathLover1(20849)

Question 1176492: Find the numbers of distinguishable permutations of the number 348 838?
Click here to see answer by ikleyn(52780)

Question 1176492: Find the numbers of distinguishable permutations of the number 348 838?
Click here to see answer by MathLover1(20849)

Question 1176490: suppose that a certain association, there are 12 elected members of the board of directors. In how many ways can a president, a vice president, a secretary, and a treasurer be selected from the board?
Click here to see answer by ikleyn(52780)

Question 1176489: a dress shop owner has 8 new dresses that she wants to display in the window. If the display window has 5 mannequins, in how many ways can she dress them up?
Click here to see answer by CubeyThePenguin(3113)

Question 1176525: There are 16 people in an office with 6 different phone lines. If all the lines begin to ring at once, how many groups of 6 people can answer these lines?
Click here to see answer by ikleyn(52780)

Question 1176524: You order twelve burritos to go from a Mexican restaurant, seven with hot peppers and five without. However, the restaurant forgot to label them. You pick three burritos at random.
(a) In how many way you can pick all three burritos with hot pepper?
(b) In how many way you can pick one burrito with hot pepper and two without?
(c) In how many way you can pick at least one burrito with hot pepper and the rest without?

Click here to see answer by ewatrrr(24785)

Question 1176649: A sign reads “ALABAMA”, a drunk man removed 4 letters and then returned back
randomly into the four empty spaces again. What is the probability that the sign
still reads “ALABAMA”?

Click here to see answer by Solver92311(821)

Question 1176648: Two cards are chosen at random without replacement from a deck and inserted into another deck. This deck is shuffled, and one card is drawn. If this card is an
ace, what is the probability that no ace was moved from the first deck?
Click here to see answer by Edwin McCravy(20054)

Question 1176742: raw scores of 48 students in a mathematics 8 test
scores: f: lb: cumulative frequency cf:
46-50 1 45.5 48
41-45 5 40.5 47
36-40 11 35.5 42
31-35 12 30.5 31
26-30 11 25.5 19
21-25 5 20.5 8
16-20 2 15.5 3
11-15 1 10.5 1
Σr=48
Click here to see answer by ikleyn(52780)

Question 1176924: A bag contains 35 handkerchiefs. It contains 15 white, 5 ombra colors, 9 violet, and 6 pink handkerchiefs. What is the probability distribution of violet handkerchiefs?

Click here to see answer by ikleyn(52780)

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