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

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Question 426660: How many pizzas can I make if I have three toppings on each pizza, which include 3 meats, 4 veges, and 3 cheeses?
Click here to see answer by ewatrrr(24785)

Question 426683: How many three person committees can be chosen from a class of 25 students?
Click here to see answer by ewatrrr(24785)

Question 426961: The board of directors of a Corporation has 8 members. In how many ways can one choose a committee of four (all having equal standing)?
Click here to see answer by jamaalprof(6)

Question 427150: there are 4 boys and 6 girls signed up to play darts.
how many ways can a 4 person team be chosen?
how many different line ups can be made from the ten people/
how many different states of awards are available to a 4 person team?
Click here to see answer by sudhanshu_kmr(1152)

Question 427273: find the value of r if c(18,r)=c(18,r+2)
Click here to see answer by Theo(13342)

Question 427273: find the value of r if c(18,r)=c(18,r+2)
Click here to see answer by robertb(5830)

Question 427273: find the value of r if c(18,r)=c(18,r+2)
Click here to see answer by richard1234(7193)

Question 427603: A company has 20 employees, 12 male and 8 female. How many ways are there to form a 5 person committee that contains at least one male and at least one female?

Click here to see answer by sudhanshu_kmr(1152)

Question 427641: Three roses are to be placed in a vase. The color choices are red,pink, white, yellow, and orange.
How many different 3-rose combinations can be made from the 5 roses?
Click here to see answer by ewatrrr(24785)

Question 426906: there are 15 students in a spelling bee. how many ways can the students be chosen to go first , second , and third?
Click here to see answer by gwendolyn(128)

Question 427880: I have 20 students, how many ways can I form a 10 student committee?
Click here to see answer by jorel1380(3719)

Question 428141: A committee of 5 is selected from a group of 18 men and 13 women. How many different committees consist of all women?
Click here to see answer by stanbon(75887)

Question 428348: in how many ways can you place 6 cards on a table ?
Click here to see answer by richard1234(7193)

Question 428347: ten students are competing for a scholarship . only the top 3 students will be chosen . in how many ways can the winners be chosen ?
Click here to see answer by sudhanshu_kmr(1152)

Question 428345: a group of 6 seniors , 5 juniors , and 3 sophomores want to attend a field trip . only 10 students may attend . how many ways can the students be chosen ?
Click here to see answer by sudhanshu_kmr(1152)

Question 428425: There is just room for 5 more people to go on a trip, but 7 people want to go. In how many ways can 5 people be chosen for the trip?
Click here to see answer by stanbon(75887)

Question 428745: Mr. Johnson is a faculty advisor to the National Honor Society. There are 30 members. How many ways can he choose 4 members to attend a conference?
(1)3_P_4 (2)30! (3)30_C_4 (4)30x4
Click here to see answer by stanbon(75887)

Question 428747: First, second, and Ihird prizes are to be awarded to three different people. If there are 20 eligible candidates, how many outcomes are possible?
Click here to see answer by stanbon(75887)

Question 428746: Determine the numbes>of possible ways to pick three scoops of ice cream from 31 flavors if the scoops must be different flavors.
Click here to see answer by checkley79(3341)

Question 428729: In Mathylvania, license plates have two letters followed by four numbers. However, the letters O and I are not used because they look too much like 0 and 1 (0 and 1 can be used). Answer the following:
a. How many license plates are possible if letters and numbers can be repeated?

b. How many license plates are possible if letters and numbers cannot be repeated?
MY WORK SO FAR:
letter possible: 24 (a b c d e f g h j k l m n p q r s t u v w x y z)
numbers possible: 10 (0 1 2 3 4 5 6 7 8 9)
Click here to see answer by checkley79(3341)

Question 428983: Find the number of distinguishable arrangements of the letters of the word "OLIGOPOLY".
Click here to see answer by stanbon(75887)

Question 428991: Rachel just received her transcript showing her grades in five academic classes. In how many ways could she have earned "A's" in at least three of her classes?
Click here to see answer by stanbon(75887)

Question 428999: Mr. Johnson is a faculty advisor to the National Honor Society. There are 30 members. How many ways can he choose 4 members to attend a conference?
Must Show all work, but pick one out of the 4 options down below that best correlate with your answer too.
1. 30P4
2. 30!
3. 30C4
4. 30x4
Click here to see answer by stanbon(75887)

Question 428995: A company places a 6-symbol code on each unit of product. The code consists of 4 digits, the first of which is number 5, followed by 2 letters, the first of which is NOT a vowel. How many different codes are possible?
Click here to see answer by richard1234(7193)

Question 429029: How many ways can an 8 person tennis team be chosen from 17 students?
Click here to see answer by edjones(8007)

Question 429050: A class consists of 15 students. The instructor wants to pick a group of 4 to work on a special project.
i) How many different groups of 4 can he choose?
ii) If a class consists of 10 girls and 5 boys, how many different groups of 4 are made up of 2 boys and 2 girls?
Click here to see answer by sudhanshu_kmr(1152)

Question 429043: In how many ways can 1 man and 1 woman, in that order, be selected from 4 men and 7 women?
Click here to see answer by sudhanshu_kmr(1152)

Question 428985: Determine the number of possible ways to mark your answer sheet if you are taking an 8-question true-or-false test.
Click here to see answer by robertb(5830)

Question 429059: From a group of 5 boys and 4 girls, a party of 5 people is to be chosen.In how many ways can this be done.
Click here to see answer by ewatrrr(24785)

Question 429168: There are 24 students in International Student Club. How many ways are tehre to select a President, Vice President, and a treasurer?
Click here to see answer by ewatrrr(24785)

Question 429170: Determine how many ways you could be dealt a hand of 5 cards with each of the following outcomes.
a.) A flush in Hearts.

b.) Three Jacks and two Sevens.
Click here to see answer by stanbon(75887)

Question 429178: Hi my name is Pebbles and I have a question about a permutation problem. How many ways can the letters TALLAHASSEE be arranged? My e-mail is pebbles.brown5@yahoo.com

Click here to see answer by stanbon(75887)

Question 429193: 8 girls and 7 boys are interested in visiting a job fair off campus. The school district has a minibus that can hold 10 students. How many ways can the students be chosen for the bus?
Click here to see answer by stanbon(75887)

Question 429164: I must select my schedule next semester. I need to take one history class out of 5 offered, one English class out of 7 offered and one humanities class out of 10 offered. If there are no restrictions on which one of each course I must take, how many different schedules are possible for me?
Click here to see answer by jorel1380(3719)

Question 429194: Rachel just received her transcript showing her grades in five academic classes. In how many ways could she have earned "A's" in at least three of her classes?
Click here to see answer by jorel1380(3719)

Question 429259: Stinky is taking a seven-question true-false test, and he does not know any of the answers so he is just going to guess. He overheard the teacher saying that there were four �trues� and three �falses.� In how many different ways can he fill out his scantron if he puts four T�s and four F�s?
Click here to see answer by sudhanshu_kmr(1152)

Question 429258: In a five-element set, how many subsets contain two or more elements?
Click here to see answer by sudhanshu_kmr(1152)

Question 429257: In a family with six children, how many possible birth orders have four boys and two girls?
Click here to see answer by sudhanshu_kmr(1152)

Question 429255: In how many ways can three aces be drawn from a standard deck of 52 cards?
MY WORK SO FAR:
Im not sure which approach to take on this problem.
52 cards=n
3 aces=r
52!/(52-3)!
52!/49!
52x51x50x49x.../49x48x47x...
52x51x50=132,600
OR
I know there are 52 cards in a deck, 4 suits in a deck with one ace each, so 4 aces in a deck.
so...
n=4
r=3
4!/(4-3)!
4!/1!
4x3x2x1=24
I need help!
Click here to see answer by sudhanshu_kmr(1152)

Question 429254: Out of 7 women & 9 men a committee consisting of 3 women & 4 men is to be formed. I how many ways can this be done if (a)one particular man must included.
Click here to see answer by sudhanshu_kmr(1152)

Question 429521: Ilene allows her life guards to choose what they will wear daily. However, it is her rule that when the lifeguards report for duty that they should be dressed in a full suit. (as described below) How many different outfits can the lifeguards wear?
Full Suit = T-Shirt available in only one color, but four styles; muscle, tank top, short sleeve, and long sleeve.
Jacket- All the same style, but abvailable in red and white colors
Swimming trunks-Have 3 styles bikini, jogging, and knee length, and two colors red and white

Click here to see answer by jorel1380(3719)

Question 429827: In how many ways can you arrange the letters in the word COMPUTER?
Click here to see answer by sudhanshu_kmr(1152)

Question 429745: A person rolls a standard six-sided die 10 times. In how many ways can he get 6 fives, 3 ones, and 1 three?
Click here to see answer by sudhanshu_kmr(1152)

Question 429838: A bank identification number consists of a letter of the alphabet followed by 4 digits without repetition allowed. How many identification numbers are possible?
Click here to see answer by sudhanshu_kmr(1152)

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