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

Tutors Answer Your Questions about Permutations (FREE)

Question 926467: How many different three-digit even numbers can be formed from the set of integers from 1 to 9 inclusive if no repetitions are allowed.
Click here to see answer by Edwin McCravy(20054)

Question 927030: A door lock has a 5 number keypad. How many different three digit codes are possible if the same number cannot be used twice in a row ?
Click here to see answer by Edwin McCravy(20054)

Question 926914: This problem involves combinations.
A student must answer nine of the thirteen questions on an exam. In how many ways can she choose the nine questions?

Click here to see answer by Edwin McCravy(20054)

Question 927196: A hockey team is lining up in a row for a group photo. Their team has 1 goalie, 4 defense, and 7 forwards. The photographer wants the defense on one side of the goalie and the forwards on the other side. How many ways can the team stand in a row for this pose?
Click here to see answer by Edwin McCravy(20054)

Question 926887: How many 3-number combinations might a student have to try in order to open a lock if the numbers from 0 to 39 appear on the dial? Assume that the second number may be the same as the first (since the dial will be rotated in a different direction), but the third number must be at least 5 away from the second.
Click here to see answer by Edwin McCravy(20054)

Question 927742: Suppose you play poker but the dealer shuffles two 52 card decks together and deals. How many different five- card hands are possible?
Click here to see answer by Edwin McCravy(20054)

Question 924769: how many ways can the letters of the word BETTER be arranged
Click here to see answer by Edwin McCravy(20054)

Question 924410: The probability that it will rain on Saturday is 2/3. The probability that the
temperature on Saturday will reach 100�F is 4/9. The probability that it will rain or reach 100�F on Saturday is 4/5. What is the probability it will rain and reach 100�F on Saturday?

Click here to see answer by Edwin McCravy(20054)

Question 927765: I have a 4 digit combination lock. The numbers range from 0 to 9 in each row. The numbers can repeat. How many combinations of these are possible?
0 0 0 0
1 1 1 1
2 2 2 2
3 3 3
5
6
7 etc
8
9
Click here to see answer by stanbon(75887)

Question 927893: how many different comittees of 4 members can be formed from a group with seven seniors and 6 juniors if
a)they are all seniors
b)they are 3 seniors and 1 junior
Click here to see answer by ewatrrr(24785)

Question 927823: How many different 10 letter words (real or imaginary) can be formed from the following letters T, Y, A, G, N, K, Y, Q, I, U
Click here to see answer by KMST(5328)

Question 928092: in a class there are 8 boys and 5 girls. two class representatives are to be chosen. in how many ways they can be selected if the first is to be a boy and the second any of the boy or girl?
Click here to see answer by ewatrrr(24785)

Question 928184: In how many different ways can 4 stamps be arranged?
Click here to see answer by ewatrrr(24785)

Question 928300: If a committee of 4 students is selected from a class of 16 students, how many ways can this be done
Click here to see answer by TimothyLamb(4379)

Question 928475: one of three accountants, bill, jane and doris, will be promoted in a CPA firm. If the probability that bill will be promoted is .25 and the probability that Jane will be promoted is .34, then what is the probability that Doris will be promoted?
Click here to see answer by 428225(90)

Question 928662: 5 couples attend a play and are seated in a row of 10 chairs. How many different arrangements are possible if
couples are seated together?
and also
How many different �Words� are possible using all the letters of WISCONSIN?
and finally
A club has 50 members and 20 pledges. The club selects a 6-member executive committee composed of a
chair, vice-chair, and secretary, who must be members, and an advisory committee of 3 pledges. In how many
ways can the executive committee be formed?

Click here to see answer by ewatrrr(24785)

Question 928822:
In how many different ways can the letters of the word 'QUESTION' be arranged in such a way that the vowels occupy only the even positions?
Click here to see answer by Edwin McCravy(20054)

Question 928895: A password contains exactly 7 letters. How many passwords are possible if letters cannot be used more than once?
Click here to see answer by ewatrrr(24785)

Question 928903: Determine the number of sample space
1. Rolling a pair of dice
event of getting a sum of at least four
Click here to see answer by ewatrrr(24785)

Question 928898: Determine the number of sample space
1. Tossing a coin
*the event of getting a head
Click here to see answer by ewatrrr(24785)

Question 928906: You have 8 T-shirts in your drawer. How many different sequences of shirts can you wear over the course of a 5-day week of school?
Click here to see answer by ewatrrr(24785)

Question 928900: Determine the number of sample space
Rolling a pair of dice:
a. event of getting a sum of which are odd numbers
Click here to see answer by ewatrrr(24785)

Question 928910: Determine sample points
rolling a pair of dice:
a) event of getting a sum of 6
b) even of getting a sum at least 4
Click here to see answer by ewatrrr(24785)

Question 928897: Determine the number of sample space
1. Tossing a coin
a.) sample space:
Click here to see answer by ewatrrr(24785)

Question 929052: A bag contains 15 pieces of candy. In how many ways can four pieces be selected?
Click here to see answer by ewatrrr(24785)

Question 929042: I'll start by saying I'm sorry if this is the wrong section. My question is over factorial expressions and we talked about infinite and finite sets the same day.
Evaluate the given factorial expression.
(n!/(n-2)!)
Click here to see answer by richard1234(7193)

Question 928921: How many different pairs of people can be chosen from twelve individuals?
Click here to see answer by Edwin McCravy(20054)

Question 928825: how many 3 digits number can be formed from the digit 2,3,5,6,7,and 9 which are divisible by 5 and non of the digits is repeated ?
Click here to see answer by Edwin McCravy(20054)

Question 929247: As I was going to St. Ives, I met a man with 7 wives, every wife had 7 sacks, and every sack had 7 cats. Every cat had 7 kits. Kits, cats, sacks, wives, how many were going to St. Ives? A.) use a geometric series to model as a sum the number of items (kits,cats,sacks,wives,man) that the narrator met. B.) evaluate this geometric series in 2 ways: directly by adding the terms, and also by using the summation formula that was developed.
Click here to see answer by KMST(5328)

Question 929238: A secret code consists of 2 digits, followed by 2 letters, followed by 1 of the following symbols: #, %, and &. Digits and letters cannot repeat. How many secret codes are possible?

Click here to see answer by TimothyLamb(4379)

Question 929668: im learning about combinations and permutations and i dont seem to understand how to do this. "how many different areangments can be made using all of the letters in the word HOCKEY" i believe the answer is 720 but i have no way of knowing if it's correct. Another is, "A child has six red blocks and four blue blocks. in how many different ways can the child arrange the 10 blocks in a straight line" i know the answer is 210, but im not sure how to get it. i did 6!�4! but that was incorrect, i also tried go add fhem.
Click here to see answer by richard1234(7193)

Question 930337: Consider a list of randomly generated 4-letter "words" printed on a paper. The letters cannot be repeated.
(a) At least how many of these "words" should be printed to be sure of having at least 7 identical "words" on the list?

(b) At least how many identical "words" are printed if there are 2870401 "words" on the list?

Click here to see answer by KMST(5328)

Question 928821:
In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?
Click here to see answer by Edwin McCravy(20054)

Question 930372: Count the number X of functions
φ:(46,47,...,49)→(25,26,...,28)
so that φ is not onto.
X
Click here to see answer by richard1234(7193)

Question 930343: how many different committees can be formed from 8 teachers and 37 students if the committee consists of 3 teachers and 4 students
Click here to see answer by TimothyLamb(4379)

Question 930408: How many 6-letter codes can be formed using the letters A, B, C, D, E, F, G, H, and I. Repeated letters are allowed
Click here to see answer by TimothyLamb(4379)

Question 930411: In how many ways can the letters of the word ROBBER be arranged
Click here to see answer by ewatrrr(24785)

Question 930609: A director of selection committee is biased so that he selects his relatives for a job 2 times as likely as others.If there are 2 posts for a job, find probability of selection of his relatives.
Click here to see answer by ewatrrr(24785)

Question 931184: from a class of 5 boys and 3 girls how many group of size 3 are possible if there are 2 boys and 1 girl in each group

Click here to see answer by ewatrrr(24785)

Question 931201: What is the minimum number of students
required in a particular class to be sure that
atleast six students will receive the same
division if there are five possible divisions.
Click here to see answer by ewatrrr(24785)

Question 931205: how many different committees can be formed from 7 teachers and 47 students the of the committee consist of 3 teachers and 2 students combinations and permutations
Click here to see answer by ewatrrr(24785)

Question 931580: three electronic parts are to be assembled into a plug-in unit for a television set. the parts can be assembled in any order, in how many different ways can be 3 parts be assembled?
Click here to see answer by Fombitz(32388)

Question 931594: A state lottery game requires a person to select 6 different numbers from 38 numbers. The order of the selection is not important. In how many ways can this be done?
Click here to see answer by stanbon(75887)

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