Questions on Algebra: Combinatorics and Permutations answered by real tutors!

Algebra ->  Permutations -> Questions on Algebra: Combinatorics and Permutations answered by real tutors!      Log On


   



Tutors Answer Your Questions about Permutations (FREE)


Question 1174681: There are ____ ways to select three numbers from 0 to 9.
Click here to see answer by ikleyn(52776) About Me 

Question 1174747: A committee of 4 must be chosen from 4 lawyers 3 engineers. Find a. In how many ways can the committee be chosen
b. In how many ways the committee can be equally represented by the 2 representative

Click here to see answer by ewatrrr(24785) About Me 

Question 1174742: How many ways are there of filling 5 different job vacancies between 7 ladies, given that each woman can only do just one job
Click here to see answer by ewatrrr(24785) About Me 
Question 1174742: How many ways are there of filling 5 different job vacancies between 7 ladies, given that each woman can only do just one job
Click here to see answer by ikleyn(52776) About Me 

Question 1174773: There are two packs of cards each containing 52 cards. One card is drawn from each pack. Find the probability that at least one of them will be the ace of hearts.​
Click here to see answer by VFBundy(438) About Me 

Question 1174824: In rolling a fair die once, find the probabilities of the following events happening.
Getting an odd number or even number

Click here to see answer by ikleyn(52776) About Me 

Question 1174825: A letter is chosen at random from the word EXPERIMENTAL. Find the probabilities of the following
events happening
Getting a letter X

Click here to see answer by ikleyn(52776) About Me 

Question 1174823: In rolling a fair die once, find the probabilities of the following events happening.
Getting a number less than 1

Click here to see answer by ikleyn(52776) About Me 

Question 1174822: In rolling a fair die once, find the probabilities of the following events happening.
Getting a 2

Click here to see answer by ikleyn(52776) About Me 

Question 1174820: B. Select a month at random from the year 2007,, express each of the following events as a set and find the
corresponding size.
1) A, where A is the event that there are 31 days in the month

Click here to see answer by greenestamps(13198) About Me 

Question 1174817: Find the sample space S and the corresponding size n(S) for each of the random experiments
On a table, there are 3 cups of milk tea, 2 cups of lemon tea, and 1 cup of coffee. A cup of drink is
taken away at a random from the table.

Click here to see answer by greenestamps(13198) About Me 
Question 1174817: Find the sample space S and the corresponding size n(S) for each of the random experiments
On a table, there are 3 cups of milk tea, 2 cups of lemon tea, and 1 cup of coffee. A cup of drink is
taken away at a random from the table.

Click here to see answer by ikleyn(52776) About Me 

Question 1174816: Find the sample space S and the corresponding size n(S) for each of the random experiments
Select a letter from the word MATHEMATICS at random

Click here to see answer by greenestamps(13198) About Me 
Question 1174816: Find the sample space S and the corresponding size n(S) for each of the random experiments
Select a letter from the word MATHEMATICS at random

Click here to see answer by ikleyn(52776) About Me 

Question 1174810: On a table, there are 3 cups of milk tea, 2 cups of lemon tea, and 1 cup of coffee. A cup of drink is
taken away at a random from the table.

Click here to see answer by greenestamps(13198) About Me 

Question 1174809: An elevator in Bingo Department Store can reach G/F, 4/F, to 7/F, and 9/F to 12/F. The floor at
which the elevator is to be stopped is recorded.

Click here to see answer by greenestamps(13198) About Me 

Question 1174808: In a secondary school running S1 to S6 curriculum, the form of the student lining up at school's tuck
shop is checked randomly.

Click here to see answer by greenestamps(13198) About Me 
Question 1174808: In a secondary school running S1 to S6 curriculum, the form of the student lining up at school's tuck
shop is checked randomly.

Click here to see answer by ikleyn(52776) About Me 

Question 1174819: Find the sample space S and the corresponding size n(S) for each of the random experiments
There are three cards marked X, Y, and Z in box A, and five cards numbered 1 to 5 in box B. A card
each is chosen at random from box A and box B; the letter and number obtained are recorded
together.

Click here to see answer by ikleyn(52776) About Me 

Question 1174813: Find the sample space S and the corresponding size n(S) for each of the random experiments
Select one of the options A, B, C, and D at random for a multiple choice question

Click here to see answer by ikleyn(52776) About Me 

Question 1174815: Find the sample space S and the corresponding size n(S) for each of the random experiments
An elevator in Bingo Department Store can reach G/F, 4/F, to 7/F, and 9/F to 12/F. The floor at which the elevator is to be stopped is recorded.

Click here to see answer by ikleyn(52776) About Me 

Question 1174895: Suppose two cards are drawn at random from an ordinary deck of cards. Find the probability that both cards are face cards, given that both cards are red.
My Work:
P (A given B) = C(12,2)/C(52,2) given C(26,2)/C(52,2) = 6 in common/1326 in set B
So, the denominator is wrong but I can't figure out why because it seems that the denominator should be the result of choose 2 out of 5 cards.

Click here to see answer by math_tutor2020(3816) About Me 

Question 1174811: Find the sample space S and the corresponding size n(S) for each of the random experiments described in items 1 and 2
There are three cards marked X, Y, and Z in box A, and five cards numbered 1 to 5 in box B. A card
each is chosen at random from box A and box B; the letter and number obtained are recorded
together.

Click here to see answer by ikleyn(52776) About Me 

Question 1174814: Find the sample space S and the corresponding size n(S) for each of the random experiments
In a secondary school running S1 to S6 curriculum, the form of the student lining up at school's tuck shop is checked randomly.

Click here to see answer by ikleyn(52776) About Me 

Question 1174674: Using the digits 1, 4, 6, 8 and 0, how many five-digit numbers can be formed if:
a. The fist digit must be 0 and repetition of the digits is allowed?
b. The number must be divisible by 2 and repetition is not allowed?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1174951: A letter is chosen at random from the word EXPERIMENTAL. Find the probabilities of the following
events happening
Getting a letter J

Click here to see answer by ikleyn(52776) About Me 

Question 1174950: A letter is chosen at random from the word EXPERIMENTAL. Find the probabilities of the following
events happening
Getting a letter E

Click here to see answer by ikleyn(52776) About Me 

Question 1174964: The following table shows the distribution of the number of donations made by a class of students last month:
Number of donations made 1 2 3 4 5 6
Number of students 20 5 3 2 4 2
If a students is elected at random, find the probabilities of the following:
The student made more than 3 donations last month

Click here to see answer by math_tutor2020(3816) About Me 

Question 1174954: A card is drawn at a random from a pack of 52 playing cards (without jokers). Find the probabilities of the
following events happening:
A king or a red card is drawn

Click here to see answer by math_tutor2020(3816) About Me 

Question 1174952: A card is drawn at a random from a pack of 52 playing cards (without jokers). Find the probabilities of the
following events happening:
A queen is drawn.

Click here to see answer by jitendra_maths(6) About Me 

Question 1174961: It is known that the probability for an observatory of a country to make an accurate forecast of
tomorrow's temperature is0.97. Find the probability that te observatory makes an inaccurate forecast
of tomorrow's temperature.

Click here to see answer by jitendra_maths(6) About Me 

Question 1174957: A five-digit number is formed by arranging 2, 3, 4, 5, and 6 randomly without repetition. Find the
probabilities of the following events,
The number is an even number.

Click here to see answer by jitendra_maths(6) About Me 

Question 1174955: A five-digit number is formed by arranging 2, 3, 4, 5, and 6 randomly without repetition. Find the
probabilities of the following events,
The unit digit of the number is 5.

Click here to see answer by jitendra_maths(6) About Me 

Question 1174953: A card is drawn at a random from a pack of 52 playing cards (without jokers). Find the probabilities of the
following events happening:
A diamond ace or a spade jack is drawn.

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1174959: In a supermarket,There are 30 cartons of eggs on a shelf. the number of cracked eggs in each carton is shown in the following table
Number of cracked eggs 0 1 2 3
Number of cartons 21 6 2 1
If a carton of eggs is selected at random,find the probabilities of the following events happening:
The carton contains eggs without any cracks

Click here to see answer by ewatrrr(24785) About Me 

Question 1174960: In a supermarket,There are 30 cartons of eggs on a shelf. the number of cracked eggs in each carton is shown in the following table
Number of cracked eggs 0 1 2 3
Number of cartons 21 6 2 1
If a carton of eggs is selected at random,find the probabilities of the following events happening:
The carton contains more than one cracked egg

Click here to see answer by ewatrrr(24785) About Me 

Question 1174963: The following table shows the distribution of the number of donations made by a class of students last month:
Number of donations made 1 2 3 4 5 6
Number of students 20 5 3 2 4 2
If a students is elected at random, find the probabilities of the following:
The student made 1 or 2 donation last month

Click here to see answer by ewatrrr(24785) About Me 

Question 1174962: The following table shows the distribution of the number of donations made by a class of students last month:
Number of donations made 1 2 3 4 5 6
Number of students 20 5 3 2 4 2
If a students is elected at random, find the probabilities of the following:
The student did not make any donation last month

Click here to see answer by ewatrrr(24785) About Me 

Question 1175062: A class consists of 12 boys and 15 girls. How many different committees of four can be selected from the class if
each committee is to consist of two boys and two girls?
16. Suppose there is a class of 20 students and elections are being made for class president and vice president. How
many different ways could the candidates be picked?
17. A committee of 5 people is to be chosen from a group of 6 men and 4 women. How many committees are
possible if it must consist of a majority of women?
18. A committee of 5 people must be selected from 5 accountants and 8 educators. How many ways can the
selection be done if there are at least 3 educators in the committee?
19. In how many ways can five people line up for a group picture if two want to stand next to each other?

Click here to see answer by ikleyn(52776) About Me 

Question 1175061: A box of 10 articles contains one that is defective. In how many ways can Ken select 4 articles such that the
defective article is included?

Click here to see answer by ikleyn(52776) About Me 

Question 1175056: Please help me to solve this Qeustion(1) Prove that nCr=n+1Cr-nCr-1
and Qeustion (2) Prove that nPr=(n-r+1) *nPr-1

Click here to see answer by math_helper(2461) About Me 

Question 1175089: Suppose there is a class of 20 students and elections are being made for class president and vice president. How
many different ways could the candidates be picked?

Click here to see answer by ikleyn(52776) About Me 

Question 1175090: A committee of 5 people is to be chosen from a group of 6 men and 4 women. How many committees are
possible if it must consist of a majority of women?

Click here to see answer by mccravyedwin(406) About Me 

Question 1175088: A class consists of 12 boys and 15 girls. How many different committees of four can be selected from the class if
each committee is to consist of two boys and two girls?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1175113: From a group of 5 swimmers and 8 runners, an athletic contingent of 7 is to be formed. How many teams are possible if there are to be at least 3 swimmers?
Click here to see answer by ikleyn(52776) About Me 

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