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 886527: Please help me solve this question :(
The following questions involve either bridge hands (13 cards) or poker hands (5 cards):

a) how many possible poker hands exist?
b) how many poker hands contain all Hearts?
c) how many poker hands contain at least one Ace?
d) how many possible bridge hands contain all spades OR all hearts?
e) how many bridge hands contain exactly 5 Hearts, 5 Diamonds, 2 Spades and one Club?

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

Question 885636: Given the digits 0, 1, 3, 5, and 6, how many different four-digit numbers can be made that are divisible by 4 if repetitions are allowed? If repetitions are not allowed?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 886789: 1 + 3 + 5 +
Click here to see answer by richwmiller(17219) About Me 

Question 886894: 1 3 5 so 2 4 ? What is the third no. But answer is not 6 please solve

Click here to see answer by rothauserc(4718) About Me 

Question 887085: some none or all
6 items
how many different selections can be made

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

Question 887210: The shipment of 10 television sets contain 3 defectives sets . In hw many ways can a dealer purchase 4 of these sets and recieve at least 2 of the defectives sets
Click here to see answer by Theo(13342) About Me 

Question 887216: how many people can get 1,215 head shots in a row
Click here to see answer by grishma.kshatriya(27) About Me 

Question 887227: How many four digit numbers greater than 6800 can be formed using the digits 3,5,6,7,8 where repetition of digits is allowed?

Click here to see answer by stanbon(75887) About Me 

Question 887262: Hi I really need help with these questions please.
1) How many different ways can 8 people be seated at a round table if there is a special arm chair?
2) There are 14 identical blocks in a childs toy box. Five of them are blue, two of them are red, five of them are green, one is orange and one is purple.
a) If a child takes them out of the box and puts them in one giant stack, how many ways can she do this?
- I tried 14C5 * 13 C2 * 12C5* 11C1 * 10C1 but that didn't work
b) If a child picks at least one of the blocks out of the box, how many different selections can she make?
3) When 3- digit area codes were introduced in 1947, the first digit had to be a number from 2 to 9, and the middle digit had to be either 0 or 1. The last digit has no restrictions. How many area codes were possible for 1947?
4) A code consists of two letters followed by three numbers. No repetition is allowed. How many different codes are available?
- I tried 4C2= 6 but I'm not sure of that is correct.

Click here to see answer by edjones(8007) About Me 

Question 887282: please let me know if my answer true or false

The student Engineers Council at a certain college has one student representative from each of the five engineering majors (civil, electrical, industrial, materials, and mechanical). In how many ways can

a) Both a council and a vice-president selected?
5 permutations 2 = 20 ways
b) A president, a vice-president, and a secretary selected?
5 permutations 3 = 60 ways
c) Two members selected for the President’s Council?

5 C 2 = 10 ways

Click here to see answer by Theo(13342) About Me 

Question 887336: in how many ways can 6 truck drivers be assigned to 6 company trucks?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 887544: There are ____ ways to pick a committee of size 3 from a group of size 8
If Z is a standard normal random variable, then P(Z > -1.52)=

Click here to see answer by stanbon(75887) About Me 

Question 887579: in how many ways can nine people be seated on a bench if only three seats are available
Click here to see answer by Theo(13342) About Me 

Question 887986: how many even four digit numbers can be formed from the digits 0,1,2,5,6 and 9 . If units position can not be zero?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 887963: How many nine-digit numbers can be formed using all the digits from 1 to 9, if the odd digits must always be in ascending order and the even digits in descending order?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 887964: There are four gentleman and three ladies who are to dine at a round table. In how many ways can they seat themselves so that no two ladies are together?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 887675: Suppose a teacher gives a four question true-false test. The correct answers are F,T,T,F. If a students guesses the answers, how many of the outcomes would have exactly two correct answers?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 888585: How many 5 letter code words can be formed using a 27 letter alphabet?
A-repetitions allowed
B-no repetitions allowed

Click here to see answer by Theo(13342) About Me 

Question 888509: a question paper has 8 questions with 4 options per question.in how many ways can one or more of those questions be attempted?

Click here to see answer by richard1234(7193) About Me 

Question 888656: three students are each asked to select four numbers less than ten and multiply them together. they all have the same answer, even though they only share one number the same. what is the answer and the shared number
Click here to see answer by Edwin McCravy(20054) About Me 

Question 889106: how many numbers are there between 100 and 1000 such that 7 is in the units place
Click here to see answer by Edwin McCravy(20054) About Me 

Question 889116: (n+1)! = 12(n-1)!
Click here to see answer by Fombitz(32388) About Me 

Question 889138: Who is a great maths scolar ans this questionSolve this..
◻➕◻➕◻➕◻➕◻=30
Fill the boxes using (1, 3, 5, 7, 9, 11, 13, 15)
U can also repeat the numbers.

Click here to see answer by Fombitz(32388) About Me 

Question 889120: n!(n+2)=n!+(n+1)!

Click here to see answer by LinnW(1048) About Me 

Question 889177: In how many ways can a committee consisting of 3 faculty members and 4 students be formed if there are 8 faculty members and 15 students eligible to serve on the committee
Click here to see answer by stanbon(75887) About Me 

Question 889289: I have the numbers 1 through 60. I have to choose 5 of these numbers. How many different ways could i accomplish this?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 889334: I cannot figure out this answer. P(n,2)
Click here to see answer by Fombitz(32388) About Me 

Question 889388: When a group of students sits in rows of six
chairs, the last row has one empty chair. When
this same group sits in rows with seven chairs,
there is once again one empty chair. What is the
least number of students in this group?

Click here to see answer by stanbon(75887) About Me 

Question 889464: How many 6-person line ups can be formed from 20-player volleyball roster, assuming every player can be assigned to any position?
Please help me find the right formula.
I have tried two different way but I think I,m thinking it to simple: like 20*6=120 and 120*6=720
Thank you for your help.

Click here to see answer by rothauserc(4718) About Me 

Question 889629: How many different 12-person committees can be selected from a pool of 26 people
Click here to see answer by stanbon(75887) About Me 

Question 889714: A teacher provides three special lessons, one in each Maths, Music, English and Science, for some children in her class. For the students in these special lessons:
a) There are exactly 3 children in each lesson
b) Each pair of students attends at least one special lesson together.
What is the largest number of students who can attend these special lessons?

Click here to see answer by richwmiller(17219) About Me 

Question 889733: 15 Tickets for a concert are given out randomly to a class with 20 students. No student is given more than 1 ticket.
i. find the number of ways in which this can be done.
There are 12 boys and 5 girls in the class. find the number of ways in which
i. 10 boys and 5 girls get the tickets.
ii. all the boys get the tickets.

Click here to see answer by stanbon(75887) About Me 

Question 889736: In how many ways can 4 playing cards be selected from an ordinary pack of 52 if one of the cards must be an ace?
Click here to see answer by Fombitz(32388) About Me 

Question 889794: A box contains 100 balls of different colours .28 red , 17 blue , 21 green , 10 white, 12 yellow, 12 black .the smallest number n such that any n balls drawn from the box Will contain atleast 15 balls of the same colour is ??
Options are 73, 77, 81, 85

Click here to see answer by richwmiller(17219) About Me 

Question 889795: The no. of ordered pairs (x, y) of positive integers such that x+y=90 and their greatest common divisor is 6 equals
A) 15. B) 14. C) 8. D) 10

Click here to see answer by JulietG(1812) About Me 

Question 889857: From a group of 10 people, 4 will each win $500. How many different winning groups are possible?
Click here to see answer by harpazo(655) About Me 

Question 889970: In how many ways can 6 letters be chosen from {R,S,T,U,V,W,X,Y,Z}, assuming that the order of the choices doesn't matter and that repeats are not allowed?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 887596: Choose 5 different numbers from (1,3,5,7,9,11,13,15} whose sum is 30.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 889392: How many six-symbol computer passwords can be formed using the letters A to J and the digits 3 to 6?

Click here to see answer by tommyt3rd(5050) About Me 

Question 890094: How many different committees of 7 people can be formed from a group of 10 people
Click here to see answer by Alan3354(69443) About Me 

Question 890095: Which of the following expressions shows the number of 8 character passwords that can be formed using letters and digits if the password must begin with a letter?

Click here to see answer by Theo(13342) About Me 

Question 890234: How many four digit even no.s can be formed from 1,2,3,4,5?????
Click here to see answer by Alan3354(69443) About Me 

Question 890293: There are 12 numbers. How many combinations can be formed, each consisting of 8 of these numbers?
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