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

Tutors Answer Your Questions about Permutations (FREE)

Question 963178: How many and what 4 digit combinations can I make from 282303391?
Click here to see answer by Edwin McCravy(20054)

Question 963536: Please help me solve this...
How can i solve
_ + _ + _ = 30
Fill the blanks using
1,3,5,7,9,11,13,15
Click here to see answer by Alan3354(69443)

Question 963539: question is 3 number added n answer is 30 options are 1 3 5 7 9 11 13 15
Click here to see answer by Fombitz(32388)

Question 963650: A high school band held a bake sale. The number of cupcake sold was four more then twice the number of cookies sold.the band sold a total of 52cupcake and cookies. How many cupcake were sold
Click here to see answer by macston(5194)

Question 963806: How many ways can 20 people line up to enter the theatre
Click here to see answer by Fombitz(32388)

Question 963993: Here's the question:
A baseball team has 15 members. Five of the players are pitchers, and the remaining 10 members can play any position. How many different teams of 9 players can be formed?
I know this will be a Combination because order doesn't matter, but I don't know where the pitchers and normal players come in. How many pitchers are required to be on the team?
I know that if the pitchers and normal players don't matter, the answer is simply 15C9. But do the pitchers matter?
Click here to see answer by Theo(13342)

Question 964142: find the number of distinguishable five-letter permutation that can be formed from the letter in the word 'WINDOW'?
Click here to see answer by Edwin McCravy(20054)

Question 964119: a candidate is expected to attempt 12 out of 15 questions in a test. in how many ways can this be done if the first 8 questions are compulsory

Click here to see answer by Edwin McCravy(20054)

Question 964061: We have 20 women and 15 men.
We want to form a delegation of 5 people.
That delegation has to have 3 women.
But Susy and Mary can't be together in the delegation.
Click here to see answer by Edwin McCravy(20054)

Question 964173: find the number of ways in which 4 men and 5 women can line up in a queue so that the tallest woman is in front of the tallest man
Click here to see answer by Edwin McCravy(20054)

Question 964225: find the different arrangement of the word 'ellipse' in which the 2 e's and the 2 l's are to be consecutive?
Click here to see answer by Edwin McCravy(20054)

Question 964152: 1. A card is dealt from a complete deck of fifty-two playing cards (no jokers). Count an Ace as high (above a King, not below a 2).
a)Find the probability that the randomly dealt card is both above a jack and below a 4.
b)Find the probability that the randomly dealt card is either above a jack or below a 4.
2. A pair of dice is rolled and the sum of the numbers is observed. What is the probability that the sum is even or less than 4?
Click here to see answer by KMST(5328)

Question 964368: a Tennis club has 48 members. if there are 22 fewer men than women, how many women are there?

Click here to see answer by amarjeeth123(569)

Question 964378: ?+?+?=30 use(1,3,5,7,9,11,13,15)
Click here to see answer by Alan3354(69443)

Question 964435: By using odd no such as1,3,5,7,9,11,13,15.by adding this three no .we can add one no twice the total is 30.how to solve
-+-+-=30
Click here to see answer by Fombitz(32388)

Question 964710: How many positive integers are there less than 900 such that all digits are odd?
Click here to see answer by macston(5194)

Question 964708: How many ways can the letters A,B,C,D,E, and F be arranged in a row 4 at a time if neither A nor C can be second and E must be third? Repetition is permitted.
Click here to see answer by Edwin McCravy(20054)

Question 964931: how many number plates of 8 digit no be form from 0 to 9.? if 548 are first 3 digits then how many number plates form. if repetion is allowed?
Click here to see answer by Fombitz(32388)

Question 965014: How many ways can 4 people arrange themselves inside a van that has 6 seats?
Click here to see answer by EdenWolf(517)

Question 965057: a certain club has 15 male members. how many ways are there to form committees of 3
Click here to see answer by stanbon(75887)

Question 965083: For a board of directors composed of eight people, in how many ways can a president, vice president,
and treasurer be selected?
Click here to see answer by benni1013(206)

Question 965089: How many different ID cards can be made if there are six digits on a card and no digit can be used
more than once?
my teacher told me to solve the question using the Fundamental Counting Principle so because it can only have six digits i used 9*8*7*6*5*4 and got a total of 60,480 different id cards can be made, is this correct or if i am wrong will someone explain the right way to go about solving this problem? your help is greatly appreciated
Click here to see answer by benni1013(206)

Question 965125: a pizza shop has 10 different toppings, three types of crust, and two types of sauce. how many different types of pizza are possible using a single topping
Click here to see answer by macston(5194)

Question 965285: How many and what 4 digit combination can be made from numbers 1-49
Click here to see answer by EdenWolf(517)

Question 965576: to win at LOTTO in one state, one must correctly select 4 numbers from a collection of 61 numbers (1-61) the order of the selections do not matter. how many possible selections are there?
Click here to see answer by checkley77(12844)

Question 965714: A single card is drawn from a standard 52-deck of cards with four suits: hearts, clubs, diamonds, and spades; there are 13 cards per suit. If each suit has three face cards, how many ways could the drawn card be either a club of any kind or anything else beside a face card?
Click here to see answer by Edwin McCravy(20054)

Question 965726: can you solve this??
() () () =30
Fill the boxes using
(1,3,5,7,9,11,13,15)
You can also Repeat the number
Click here to see answer by Fombitz(32388)

Question 965776: In how many different ways can 7 floats line up for the homecoming parade.
Click here to see answer by Fombitz(32388)

Question 965781: From 1,2,3,4,5 and 6 form a four digit number (where repetition is not allowed). How many such numbers are divisible by 3?
Click here to see answer by Edwin McCravy(20054)

Question 963698: How many 5-digit numbers between 25000 and 29999 can be made if no digits are repeated
Click here to see answer by Edwin McCravy(20054)

Question 965779: 30 people from 10 families of 3 attend a meeting. If 5 people are asked to sit on 5 chairs on the stage and no two people come form the same family, how many arrangements are there?
Click here to see answer by Edwin McCravy(20054)

Question 966037: 1. You need to arrange 8 of your favorite books on a small shelve? How many different ways can you arrange the books, assuming that the order of books makes a difference to you?

Click here to see answer by ikleyn(52778)

Question 966094: Suppose that a "code" consists of digits, none of which is repeated. (A digit is one of the numbers .) How many codes are possible?
Click here to see answer by Alan3354(69443)

Question 966120: A student club with 30 members need to choose officers. There are five officer positions and no member can occupy two positions at the same time. How many possible slates of candidates are there?
Click here to see answer by checkley77(12844)

Question 966339: How many ways can a male and female be selected to decorate a party from a club consisting of nine members where four are man and five are women
Click here to see answer by ramkikk66(644)

Question 966401: In how many ways can the 8 letters in the word HOSPITAL be arranged in a row.
Click here to see answer by Edwin McCravy(20054)

Question 965930: In how many ways can 5 letters be chosen from {D,E,F,G,H,I,J,K} , 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)

Question 966581: Find the number of ways a president, vice president and secretary can be chosen from a committee of ten members, if no member can serve in more than one office.
Click here to see answer by Edwin McCravy(20054)

Question 966422: You must choose 1 entree 3 vegetables and 1 dessert. There are 5 entrees 10 vegetables and 3 deserts to choose from. How many different meals can you make?
Click here to see answer by Fombitz(32388)

Question 965778: 8 students are standing in 2 rows of 4, facing the other row. If student A doesn't like facing or standing next to student B, how many different arrangements are there?
Click here to see answer by Edwin McCravy(20054)

Question 965234: In how many distinct ways can a 15-digit number be made using eight 7s and seven 8s?
Click here to see answer by Edwin McCravy(20054)

Question 966978: 30 students are applying for a job at a Warehouse. 3 will be selected. How many different groups can be selected
Click here to see answer by Theo(13342)

Question 967134: A group of 10 women and 12 men must select a 3-person committee. How many committees are possible if there must be a majority of men?
Click here to see answer by jim_thompson5910(35256)

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