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

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Question 1081075: Please help i am kinda confused.'
5. At Grant senior high school, there are 15 names on the ballot for the junior class officers.Five will be selected to form a class committee?
c. If there are 8 girls and 7 boys on the ballot, how many committee of boys and 3 girls can be formed?

Click here to see answer by Boreal(15235) About Me 
Question 1081075: Please help i am kinda confused.'
5. At Grant senior high school, there are 15 names on the ballot for the junior class officers.Five will be selected to form a class committee?
c. If there are 8 girls and 7 boys on the ballot, how many committee of boys and 3 girls can be formed?

Click here to see answer by MathLover1(20849) About Me 
Question 1081075: Please help i am kinda confused.'
5. At Grant senior high school, there are 15 names on the ballot for the junior class officers.Five will be selected to form a class committee?
c. If there are 8 girls and 7 boys on the ballot, how many committee of boys and 3 girls can be formed?

Click here to see answer by jorel1380(3719) About Me 

Question 1081073: Please help i am kinda confused.'
5. At Grant senior high school, there are 15 names on the ballot for the junior class officers.Five will be selected to form a class committee.
b. In how many ways can a committee of 5 be formed if each student has a different responsiblity?

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Question 1081071: If you toss a coin,then roll a dice, and then spin a 5-colored spinner with equal sections, how many outcomes are possible?
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Question 1080981: the derivative of x+y=xy with respect to y. Y is constant
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Question 1081387: Find the coefficient of the term x²y⁶ in the binomial
expansion of the expression (3x - 2y)⁸
A.) 81,648
B.) 16,128
C.) -81,648
D.) -16,128

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Question 1081425: Carlos is having dinner with his six friends. They will all be sitting at a circular table, how many seating arrangements are possible.
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Question 1081471: A musician plans to perform 3 selections.
In how many ways can she arrange the musical selections

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Question 1081515: How many different committees of 5 people can be chosen from 10 people?
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Question 1081515: How many different committees of 5 people can be chosen from 10 people?
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Question 1081515: How many different committees of 5 people can be chosen from 10 people?
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Question 1081550: Find the number of ways a four member commitiee canbe chosen from 11 candidates

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Question 1081691: a) FIND NUMBER OF DIFFERENT CODES CONSISTING OF 3 LETTERS FOLLOWED
BY 4 DIGITS THAT CAN BE OBTAINED FROM A,B,C,D 1,2,3,4,5,6?
b)FIND THE NUMBER OF 3-LETTER CODE WORDS THAT CAN BE MADE FROM
THE LETTERS A,P,P,L,E,S, IF BOTH P's ARE USED?

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Question 1081824: How many different combinations can the numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 be arranged in if order is important?
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Question 1081832: How many ways can you choose a seven letter password from seven different letters if the letters cannot repeat
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Question 1081822: How many different combinations can the numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 be arranged in if order is important?
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Question 1081837: please help me solve these binomial expansion with binomial theorem.
21. (2x+4)^4

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Question 1081839: help me to expand binomial expression with binomial theormem
1. (2x+y)^4

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Question 1081829: Please help me with thses binomial epansion using the binomial theorem.
19.H(x)=(2x-1)^7

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Question 1081901: find how many no between 5000 and 6000 can be formed from the digits 1,2,3,4,5,6
a) if no digits are repeated
b) if repeated digits are allowed

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Question 1082002: How many different combinations can you make with 8 letters without repeating any letters?

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Question 1082002: How many different combinations can you make with 8 letters without repeating any letters?

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Question 1082127: From the 13 albums released by musician, the recording company wishes to release 10 in a boxed set. How many different boxed sets are possible?
Click here to see answer by Fombitz(32388) About Me 

Question 1082187: 1.FIND how many 5 digits odd number greater than 40000 that can be obtained using the digit 1,3,5,6,7,8.
a) repetition of digits not allowed
b) repetition allowed
2.6 men and 3 women are standing in a supermarket queue.
Find possible arrangements if NO TWO women are standing next to each other.

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Question 1081455: What are the different ways can the numbers 3,5,5,& 8 be arranged?
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Question 1082318: consider the letters a,b,c,d,e,f and g . what is the probability that a randomly selected 3 letter arrangement is abc or def?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1082376: Three letters are to be chosen from the word BIOLOGY.
Find the number of ways if
a) it contains both the letters O

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Question 1082474: an employer interviews 10 people for 6 management positions in a company,and 5 of the 10 people are men. if all 10 are qualified, in how many ways can employer fill management positions if exactly 3 are men?
Click here to see answer by Boreal(15235) About Me 

Question 1082495: I need to find a 4 letter permutation for R, E, P, S. Can you help me?
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Question 1082569: Write a factorial expression and then compute the value.
10P8
6C1

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Question 1082573: How many distinct ways can the letters in the word ITEMS be arranged?
How many distinct ways can the letters in the word STEMS be arranged?
How many distinct ways can the letters in the word SEEMS be arranged?

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Question 1082574: Five people from a class of 32 are to be chosen.
How many ways can they be chosen to serve on the student activities committee? Show all work
How many ways can they be chosen to be president, Vice President, secretary, treasurer, and publicity manager? Show all work

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Question 1082580: How many paths are there from (0,0) to (5,3)?
Click here to see answer by Alan3354(69443) About Me 

Question 1082625: How many combinations can 26 letters, grouped into five letters, be placed in?
A) 15,600
B) 230,230
C) 65,780
D) 325

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Question 1082625: How many combinations can 26 letters, grouped into five letters, be placed in?
A) 15,600
B) 230,230
C) 65,780
D) 325

Click here to see answer by MathTherapy(10551) About Me 

Question 1082626: How many different combinations of seven cards can be dealt from a 52-card deck of cards?
A) 133,784,560
B) 6,497,400
C) 674,274,182,400
D) 132,600

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Question 1082626: How many different combinations of seven cards can be dealt from a 52-card deck of cards?
A) 133,784,560
B) 6,497,400
C) 674,274,182,400
D) 132,600

Click here to see answer by josmiceli(19441) About Me 

Question 1082621: A particular restaurant offers 8 appetizers and 11 entrees. How many different dinners are possible to have at this restaurant that consists of 1 appetizer and 1 entrée?
A) 118
B) 19
C) 44
D) 88

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Question 1082620: A 5 entry password requires that the first two entries are letters and the last three entries are numbers. If repetition is allowed, how many different passwords can be selected?
A) 492,804
B) 676,000
C) 468,000
D) 327,600

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Question 1082705: Plese help me solve this :
(n+2)!/n = 12
Thank you

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Question 1082622: A pizza is 16” in diameter and has 4 pepperoni evenly dispersed on the pizza, that are 2” in diameter. What is the probability of a piece of grated cheese not touching the pepperoni?
A) 79.1%
B) 12.3%
C) 8.5%
D) 93.75%

Click here to see answer by Alan3354(69443) About Me 

Question 1082985: A rectangular flag is divided into four triangles, labelled Left,
Right, Top, and Bottom as shown. Each triangle is to be coloured
one colour of red, white, blue, and green, and purple so that no
two triangles that share an edge are the same colour. How many
different flags can be made.
A)180
B)200
C)220
D)240
E)260

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Question 1083010: On a trip to America, Joseph went to visit 5 of the 9 historical sites. If the order of the visit matter, in how many ways can he plan the trip?
Click here to see answer by ikleyn(52777) About Me 

Question 1083009: On a trip to America, Joseph went to visit 5 of the 9
historical sites. If the order of the visit matter,
in how many ways can he plan the trip?

Click here to see answer by Edwin McCravy(20054) 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