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

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Question 1206967: Use the data given in the table below to compute the probability that a randomly chosen voter from the survey will satisfy the following. Round to the nearest hundredth.
The voter is under 39 years old.

Incorrect: Your answer is incorrect.
Age Republican Democrat Independent Other Total
18 - 28 205 432 98 112 847
29 - 38 311 301 109 83 804
39 - 49 250 251 150 122 773
≥50 272 283 142 107 804
Total 1038 1267 499 424 3228

Click here to see answer by ikleyn(52778) About Me 
Question 1206967: Use the data given in the table below to compute the probability that a randomly chosen voter from the survey will satisfy the following. Round to the nearest hundredth.
The voter is under 39 years old.

Incorrect: Your answer is incorrect.
Age Republican Democrat Independent Other Total
18 - 28 205 432 98 112 847
29 - 38 311 301 109 83 804
39 - 49 250 251 150 122 773
≥50 272 283 142 107 804
Total 1038 1267 499 424 3228

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

Question 1206993: How many different committees can be formed from 6 teachers and 39 students if the committee consist of 3 teachers and 3 students?

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Question 1206993: How many different committees can be formed from 6 teachers and 39 students if the committee consist of 3 teachers and 3 students?

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

Question 1207023: A fruit company guarantees that 89% of the pineapples shipped will ripen within 4 days of delivery. Find the probability that at least 10 pineapples in a case of 12 are ripe within 4 days.

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Question 1207172: April, Bill , Candace, and Bobby are to be seated at random in a row of
8 chairs. What is the probability that April and Bobby will occupy the seats at the end of the row?

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Question 1207172: April, Bill , Candace, and Bobby are to be seated at random in a row of
8 chairs. What is the probability that April and Bobby will occupy the seats at the end of the row?

Click here to see answer by AnlytcPhil(1806) About Me 
Question 1207172: April, Bill , Candace, and Bobby are to be seated at random in a row of
8 chairs. What is the probability that April and Bobby will occupy the seats at the end of the row?

Click here to see answer by ikleyn(52778) About Me 
Question 1207172: April, Bill , Candace, and Bobby are to be seated at random in a row of
8 chairs. What is the probability that April and Bobby will occupy the seats at the end of the row?

Click here to see answer by Edwin McCravy(20054) About Me 
Question 1207172: April, Bill , Candace, and Bobby are to be seated at random in a row of
8 chairs. What is the probability that April and Bobby will occupy the seats at the end of the row?

Click here to see answer by greenestamps(13200) About Me 
Question 1207172: April, Bill , Candace, and Bobby are to be seated at random in a row of
8 chairs. What is the probability that April and Bobby will occupy the seats at the end of the row?

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Question 1207178: in how many ways can a teacher select 5 students from a class of 23 students?
Click here to see answer by ikleyn(52778) About Me 

Question 1207205: 1) How many ways can 3 boys and 3 girls stand in a line if
a) There are no restrictions.
b) All boys must stand next to each other.
c) all boys and all girls stand alternately by gender.
d) Two particular boys must stand next to each other and at the same time two particular girls must stand next to each other
e) Two particular boys must stand next to each other and at the same time two particular girls must not stand next to each other
2) How many ways can 4 boys and 4 girls stand in a circle if
a) There are no restrictions.
b) All boys must stand next to each other.
c) all boys and all girls stand alternately by gender.
d) Two particular boys must stand next to each other and at the same time two particular girls must stand next to each other
e) Two particular boys must stand next to each other and at the same time two particular girls must not stand next to each other

Click here to see answer by ikleyn(52778) About Me 

Question 1207209: To win at LOTTO in one​ state, one must correctly select 4 numbers from a collection of 65 numbers​
Click here to see answer by MathLover1(20849) About Me 
Question 1207209: To win at LOTTO in one​ state, one must correctly select 4 numbers from a collection of 65 numbers​
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1207219: Find the value of 7!.

Put your answer in the form [XXXX].

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Question 1207219: Find the value of 7!.

Put your answer in the form [XXXX].

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

Question 1207218:
In how many ways can you choose three flags from a collection of seven different flags?

Put your answer in the form [XX]

Click here to see answer by saradeitz8324(3) About Me 
Question 1207218:
In how many ways can you choose three flags from a collection of seven different flags?

Put your answer in the form [XX]

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

Question 1207216: There are eight rows on the TI - 80 series calculator. The second row has eleven choices.
How many ways can you set the mode? Put your answer in the form [XXXX].

I try 5040

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Question 1207518: If 9 combination n : 8combination (n-2) = 9:4, find the values of n.
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Question 1207577: Sam wants to color the three sides of an equilateral triangle. He has two different colors to choose from. In how many different ways can Sam color the sides of the triangle? (Two colorings are considered the same if one coloring can be rotated and/or reflected to obtain the other coloring.)
Click here to see answer by ikleyn(52778) About Me 

Question 1207576: At a meeting, four scientists, two mathematicians, and a journalist are to be seated around a circular table. How many different arrangements are possible if the mathematicians must sit next to each other? (Two seatings are considered equivalent if one seating can be obtained from rotating the other.)
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Question 1207575: A standard six-sided die is rolled $7$ times. You are told that among the rolls, there was one $1,$ one $2$, one $3$, one $4$, one $5$, and two $6$s. How many possible sequences of rolls could there have been? (For example, 2, 3, 4, 6, 6, 1, 5 is one possible sequence.)
Click here to see answer by ikleyn(52778) About Me 

Question 1207574: Four children and four adults are to be seated at a circular table. In how many different ways can they be seated if all the children are next to each other, and all the adults are next to each other? (Two seatings are considered the same if one can be rotated to form the other.)
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Question 1207625: In how many ways can you distribute $8$ indistinguishable balls among $5$ distinguishable boxes, if at least three of the boxes must be empty?
Click here to see answer by greenestamps(13200) About Me 

Question 1207626: Miyu is giving out $8$ identical chocolates to her $5$ friends, including Dhruv. All possible distributions are equally likely. What is the probability that Dhruv gets at least $6$ chocolates?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1207634: Starting with the A and moving one letter at a time vertically, horizontally, or diagonally, how many different paths spell ARCH?

A
RRR
CCCCC
HHHHHHHH

Click here to see answer by greenestamps(13200) About Me 

Question 1207653: The following cards are split into three piles at random, so that every pile contains the same number of cards.  What is the probability that every pile contains an Ace?


Ace of spades
Ace of hearts
Ace of diamonds
Ace of clubs
Two of spades
Two of hearts

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Question 1207664: Find the number of $7$-digit numbers, where the sum of the digits is divisible by $11.$
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Question 1207714: In how many ways can the numbers 1, 2, 3, 4, 5, and 6 be arranged in a row, so that the product of any two adjacent numbers is at least 4?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1207729: In an examination, a candidate has to pass in each of the 5 subjects. In how many ways can she fail?
Click here to see answer by ikleyn(52778) About Me 

Question 1207742: Serial numbers for a product are to be made using 4 letters followed by 4 digits. The letters are to be taken from the first 7 letters of the alphabet, with no repeats. The digits are taken from the 10 digits (0,1,2, ..., 9), with no repeats. How many serial numbers can be generated?
Click here to see answer by ikleyn(52778) About Me 

Question 1207831: One factory employs 35 male and 20 female workers. The factory owner wanted to form A social committee for male and female workers with 5 randomly selected members: What is the probability that the chairman of the committee , Vice-Chairman of the Committee and the treasurer are male workers, and the other members are from female Workers?

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Question 1207858: One sports federation runs a council of 14 women and 10 men. The Federation decided to select a small committee from
The Board consists of 4 members at random, and elects a chairman, a secretary, and two treasurers. What is the probability

Click here to see answer by ikleyn(52778) About Me 
Question 1207858: One sports federation runs a council of 14 women and 10 men. The Federation decided to select a small committee from
The Board consists of 4 members at random, and elects a chairman, a secretary, and two treasurers. What is the probability

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

Question 1207921: A family of 6 boys and 4 girls. Mother wanted to choose 4 of them to prepare dinner:
What is the probability of choosing a boy to prepare tea, a boy to cook, and two girls to process

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Question 1208079: assume there are 365 days in a year, from a group of 4 random people
a) what is the total number of combination for their birthday
b)what is the total number of combination for their birthday if no birthday is shared by any two people.
c)what is the probability that no birthday is shared by any two people
d)what is the probability that there is at least a shared birthday in the group.

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Question 1208164: Among 120 applicants for a job in an insurance company, only 80 are actually qualified. If
five of the applicants are randomly selected for an in-depth interview, find the probability
that only two of the five will be qualified.

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Question 1208363: Prove that given any set of $17$ integers, there exist nine of them whose sum is divisible by $2.$
Click here to see answer by mccravyedwin(407) About Me 
Question 1208363: Prove that given any set of $17$ integers, there exist nine of them whose sum is divisible by $2.$
Click here to see answer by Edwin McCravy(20054) About Me 
Question 1208363: Prove that given any set of $17$ integers, there exist nine of them whose sum is divisible by $2.$
Click here to see answer by ikleyn(52778) About Me 

Question 1208373: Prove that given any set of $17$ integers, not all odd, there exist nine of them whose sum is divisible by $2.$

Click here to see answer by Edwin McCravy(20054) About Me 
Question 1208373: Prove that given any set of $17$ integers, not all odd, there exist nine of them whose sum is divisible by $2.$

Click here to see answer by ikleyn(52778) About Me 

Question 1208392: On a library shelf there are 5 different science books and 4 different math books. Find the number of ways to arrange the books next to each other on the shelf in the following cases: No two math books are next to each other.
Click here to see answer by ikleyn(52778) 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