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

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Question 890024: There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. What is the probability that a randomly chosen team has 3 or 4 girls?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 885178: There are 6 members of a club; 4 women and 2 men.
(A) in how many ways canthey line up for a picture?
(B) in how many ways can they select a man and a woman to attend a meeting?
(C) if 1 of the men is absent from their meeting, in how many ways could a man open the meeting and a woman close the meeting?
Please help!

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

Question 890530: Shelly is buying 5 CD's, the store has 9 options. Order in which she selects doesn't matter. How many possibilities are there.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 883968: ten individuals are selected for positions of president/or vice president of an organization. How many possibilities of selection exist?

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

Question 885951: The Hawaiian alphabet consists of 7 consonants and 5 vowels. How many three letter words are possible if there are never two consonants together and if a word must always end in a vowel ?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 890639: how many 3 digit numbers can be formed using 0,1,2, and 3 if no 2 digits are the same?
the solution used was H T U = 3 x 3 x 2 = 18
i didn't get how hundreds, tens, and unit became 3 x 3 x 2. is there a way for me to easily understand?
thanks in advance.

Click here to see answer by KMST(5328) About Me 

Question 890882: How many different tips could you leave in a restaurant if you had a quarter, a half-dollar, a dollar, 5-dollar bill, and a 10 dollar bill?
I think the answer is 32 ways, since there are 5 different payment choices, and you can either leave the tip, or not leave the tip, which makes it 2 for choosing either to leave or not, so then the answer is 2 to the power of 5, which is 2^5 = 32. Am I correct?
Thank You!

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

Question 891022: How many ways are there to select three cards from a standard deck of cards and get a queen, a king and an ace?
Click here to see answer by stanbon(75887) About Me 

Question 890996: In how many ways we can arrange the word 'ENGINEERING' so that all N's come together and no E's come together
Click here to see answer by Edwin McCravy(20054) About Me 

Question 890985: A binary number consists only 0s and 1s.
A) How may different seven-digit binary numbers are there?
B) How may different seven-digit binary numbers are there which begin with a 1 and which contain exactly four 1s.
C) How may different seven-digit binary numbers are there which contain exactly four 1s which are all adjacent(next to each other)?

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

Question 890984: Consider strings of length 6 which contain letters only from the set { P,Q,R,S,T} and digits from { 1,3,5,7,9}. for example TPR5Q7 is such a string.Suppose repetition allowed.
A) How many different strings are there?
B) How may of these strings have no P?
C) How may of these strings have at least one P?
D) How may of these strings have exactly two P's and one 7?

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

Question 890885: A United States Delegation consists of 6 Americans, 5 Russians, and 4 Chinese. How many committees of three people have more Americans than Russians?
AND
How many committees of three people do not have all three Americans?
Thank You!

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

Question 890592: A group of 7 children is going to a movie. In How many ways can the group be seated, if Randy, Sandy, Candy and Dandy refuse to sit next to each other?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 890891: A survey shows that 20% of a population are left-handed, 60% of the left-handed people are men, while 55% of the right-handed people are women. Find the percentage of left-handed women, and right-handed men.
Thank You!

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

Question 890824: The following problems deal with permutations of the eight letters A, B, C, D, E, F, G and H.
a. What is the number of 8-permutations if A and B have to be among the first three letters?



b. What is the number of 6-permutations if ‘FG’ should not be at the end?




c. What is the number of 5-permutations containing A, B and C but not adjacent to one another?

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

Question 886310: Twenty people decide to play softball. In how many ways can the 20 people be divided into 2 teams of 10 people?

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

Question 891173: 12. There are 20 quarts of milk on a supermarket shelf, four of which are spoiled. A customer buys three quarts of milk.
(a) How many samples are possible?
(b) How many samples contain exactly two quarts of spoiled milk?
(c) How many samples contain at least two quarts of spoiled milk?

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

Question 891344: Five dogs (Fido, Ruff, Lassie, Odie, and Snoopy) were playing in the park. Altogether, they had 5 identical Frisbees. In how many ways could the 5 Frisbees be distributed among the dogs when they leave the park to go home?
Click here to see answer by richard1234(7193) About Me 

Question 891399: if 2 students move from van a to b the two van will have the same number of students but if two students move from van b to a van b will have half the number of students that were in a. Show at least one equation to get a mark.
Click here to see answer by JulietG(1812) About Me 

Question 891440: In how many distinct ways can the word INDEPENDENCE be arranged?
Click here to see answer by AnlytcPhil(1806) About Me 

Question 891444: the number of distinct lines that can b formed by joining 20 points on a plane of which no 3 points are collinear
Click here to see answer by AnlytcPhil(1806) About Me 

Question 891433: There is five boxes,now tell me how to make 30 with these numbers used in five boxes (1 3 5 7 9 11 13 15)
Note : Numbers can be repeated.

Click here to see answer by AnlytcPhil(1806) About Me 

Question 891210: How many four-digit even numbers can be formed from the digits 0,2,3,5,6, and 9 if all for digits are different? The given answer is 108, but when i tried it out i got stuck because of the extra number and got 120 .....
Click here to see answer by AnlytcPhil(1806) About Me 
Question 891210: How many four-digit even numbers can be formed from the digits 0,2,3,5,6, and 9 if all for digits are different? The given answer is 108, but when i tried it out i got stuck because of the extra number and got 120 .....
Click here to see answer by richwmiller(17219) About Me 

Question 891439: a child is asked to reach inside a bag to randomly select a piece of candy from 25 chocolates, 15 caramels, and 10 peppermints. Find the probability:
A) A caramel
B) A Peppermint
c) either a chocolate or a caramel.

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

Question 891545: the lengths of two trains are 220metres,180metres respectively. They overtake together in opposite direction in 16 seconds and they overtake in same direction in 1 minute. find the speeds of the two trains
Click here to see answer by josmiceli(19441) About Me 
Question 891545: the lengths of two trains are 220metres,180metres respectively. They overtake together in opposite direction in 16 seconds and they overtake in same direction in 1 minute. find the speeds of the two trains
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 891619: How many ways can you select a committee of five people from a class of 20?
Click here to see answer by super123(3) About Me 

Question 891621: How many ways can 8 people be lined up in a row for a photograph?
Click here to see answer by super123(3) About Me 

Question 891657: in how many ways we can arrange the letters in the word 'MISSISIPI' so that all S's come together and no I's come together
Click here to see answer by Edwin McCravy(20054) About Me 

Question 891673: the number of rectangles that can b formed on a 8*8 chessboard?
Click here to see answer by robertb(5830) About Me 

Question 891677: In how many ways can the letters of HEPTAGON be permuted so that the vowels are never separated?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 891543: find in how many ways we can arrange the letters in the word 'MISSISIPI' so that all S's come together and no I's come together
Click here to see answer by Edwin McCravy(20054) About Me 

Question 891547: Ralph knows that there are 15 distinguishable possibilities when 2 people are chosen to form a committee from a particular group of N people.
A) describe what values if N would be admissible in this problem
B) Determine the number of people in the larger group, N

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

Question 888004: how can arrange 100 toys in 9 boxes, not coming even numbers
Click here to see answer by Edwin McCravy(20054) About Me 

Question 891827: How many possible 4-digit combinations can be obtained using only the digits 1,3, and 9? List the combinations.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 891840: Gerald has ten shirts. He needs to pack four of them for a business trip. How many different combinations of shirts could Gerald pack?
Click here to see answer by Alan3354(69443) About Me 

Question 887263: Hi I really need help with these questions please. Im not good at questions pertaining cards.
1) From a standard deck of 52 cards (no jokers)
a) In how many ways could you choose a red five or a club?
b) In how many ways could you choose a jack or a red card?

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

Question 891925: how many four digit numbers that are divisible by 3 can b formed using the digits 0,2,3,5,8, if no digit occurs more than once in each number?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 891927: A boat is to b manned by 8 men,of whom,one cannot row on the bow side and two cannot row on the stroke side. In how many ways can the crew be arranged?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 891977: consider strings of length 10 which contain only letters from the set{A,E,I,O,U} and digits from {1,3,5,7,9}suppose repetition of letters is not allowed.
a) how many different strings are there?
b) How many different strings are there if the letters,i.e A,E,I,O,U and the digits,i.e 1,3,5,7,9 must alternate?
c) How many different strings are there if all five letters must be adjacent in each string?

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

Question 892111: There are 21 identical Physics books and 19 identical Chemistry books. In how many ways they can be placed in a row, keeping no two Chemistry books together.
Click here to see answer by robertb(5830) About Me 

Question 892097: A group of people is such that the number of ways selecting 8 people is same as the number of ways selecting 12 people.In how many ways can 18 people be selected from this group?
Click here to see answer by Theo(13342) About Me 

Question 891952: an unbiased coin is tossed six times. What is the probability that it will land heads:
a) exactly three times?
b) at most three times?
c) on the first an and last toss?

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

Question 892178: A certain lock has four tumblers, and each tumbler can assume seven positions. How many different possibilities are there?

Click here to see answer by Fombitz(32388) 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