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

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Question 555238: how many ways to arrange 7 books on a shelf when there are only 5 places on it?
Click here to see answer by jim_thompson5910(28504)

Question 555541: A newspaper advertises five different movies, three plays, and two baseball games. If a couple selects three activities at random, find the probability they will, attend two plays and one movie.
Click here to see answer by edjones(7569)

Question 555547: When a die is rolled, find the probability of getting: a. A 5, b. A 6, c. A number less than 5
Click here to see answer by edjones(7569)

Question 555554: I feel as though i know the answer. i have followed the formula but i dont think i understand. please help... A group of 5 candidates are running for 2 different class offices. In how many ways can the offices be filled by these candidates? .... i was wondering if it was 20 ways because i know the formula is nPr= n! over r!(n-r)! .... so i just was wondering if i was right.
Click here to see answer by edjones(7569)

Question 555629: I am trying to figure out what formula to use on this question and also how to proceed with the formula.
A password to a computer is to consist of 2 lower case letters followed by three digits. How many different passwords are possible if repetition of letters and numbers is not permitted?
Click here to see answer by Alan3354(30983)

Question 555825: what is the meaning of14P3 the notation of
Click here to see answer by solver91311(16870)

Question 556146: how many 5-letter arrangements are possible by selecting 5 different letters from the alphabet ?
Click here to see answer by fcabanski(874)

Question 556823: what is the maximum number of diagonals can be drawn in a n-sided polygon?

Click here to see answer by Edwin McCravy(8882)

Question 556831: A class consists of 40 girls and 60 boys.in how many ways can a president,treasurer and secretary be chosen if the treasurer must be a girl,the secretary must be a boy and a student may not hold more than one office?
Click here to see answer by stanbon(57250)

Question 556932: you and two friends each randomlypick a movie from 7 choices. what is the probibility that you will all pick the same movie?
Click here to see answer by stanbon(57250)

Question 556801: there is a game I play There are 6 soccer games. each game has a win draw win result. So it can be either a win for team a draw or win for team b.
Now with 6 games and 3 possibilities in each game, how many combinations is possible for all 6 games
Click here to see answer by sudhanshu_kmr(1152)

Question 557647: How many 3-digit numbers can be formed under the following conditions:
a)leading digit cannot be zero
b)leading digit cannot be zero and no repetition of digits is allowed
c)the number is at least 400
Click here to see answer by Edwin McCravy(8882)

Question 557859: How many different numbers can be formed using 7 out of 8 digets 1,2,3,...8 if the number: can be repeated?
Click here to see answer by maggiesar04(1)

Question 557946: If x factorial is equal to 630 then x is what ?
Click here to see answer by Alan3354(30983)

Question 17407: How many four letter words can be formed with the word MANAGEMENT?
In the question use the technique where order matters.
Click here to see answer by crazymaths(1)

Question 559639: how many 3 digit numbers can be formed if repetition is allowed?

Click here to see answer by Alan3354(30983)

Question 559793: Please help me solve this SAT practice question?
Berkeley Airlines tickets have 4-digit codes. How many codes are possible if the digits are any 4 digits? What if the digits are all multiples of three?
I tried to go through and list all the possible codes, but that was taking forever. So I was just wondering if there are any more efficient ways of solving these problems.
Click here to see answer by scott8148(6628)

Question 559869: Useing numbers 0-9 how many different combinations in groups of four can there be?
Click here to see answer by stanbon(57250)

Question 559896: easy way to understand permutation and combinations.
Click here to see answer by richard1234(5390)

Question 560147: How many permutations of three items can be selected from a group of six? Use the letters A,B,C,D,E,and F to identify the items, and list each of the permutations of the items B,D, and F.
Click here to see answer by richard1234(5390)

Question 560283: how many words with or without meanings can be formed using all the letters of the word EQUATION, using each letter exactly once.
Click here to see answer by stanbon(57250)

Question 560066: If I have 6 objects labeled A-F and I need to know how many different combinations that can be made but each combination MUST include object A, how would I figure this out? And the combinations aren't limited to having to have 6 letters...for example, A by itself is a combination. AB, AC,AD, and DA,EA,FA are all combinations. Any help?
Click here to see answer by sudhanshu_kmr(1152)

Question 560738: Please help solve. A student downloaded 7 music files, how many different orders can the songs be played? Thank you for your help
Click here to see answer by jim_thompson5910(28504)

Question 560928: North Carolina issues general license plates with 3 letters followed by 4 numbers. (The first number cannot be zero) Numbers can repeat, but letters cannot. How many license plates can North Carolina generate with this format?

Click here to see answer by stanbon(57250)

Question 561684: How many different ways can 10 students be seated in 10 different seats?
How do I know which method to use?
Click here to see answer by stanbon(57250)

Question 561902: The Peterson family is planning a picnic for 16 people. They will be serving hotdogs. If hotdogs come in package of eight and hotdogs buns come in package of 6 what is the minimum amount of each that they should purchase so they have an equal number of hotdogs and buns and each person can have the same number of hotdogs.
Click here to see answer by josmiceli(9661)

Question 561823: A social security number is a code of 3 digits- 2 digits- 4 digits. If repetition of numbers were not permitted in social security numbers, how many different social security numbers would be possible?
Click here to see answer by ankor@dixie-net.com(15639)

Question 562216: How many five-letter strings can be made from the 1st 10 letters of the alphabet, without replacement?
Click here to see answer by issacodegard(60)

Question 562279: The password must be 2 characters long. each character must be a letter a-z,a digit 0-9,or one of the 10 punctuation characters ! @ # % % ^ & * ().each password must contain at least 1 digit or punctuation character. Find the number of legal passwords?
Click here to see answer by issacodegard(60)

Question 562362: Find the number of permutations of integer from 1-7 ,that do not have 1 in the first place, 4 in the fourth place and 7 in the seventh place?
Click here to see answer by issacodegard(60)

Question 562790: A child has wooden blocks with the letters G,R, R, I, E. Find the probabilty that the child randonly arranges the letters in the order TIGER
Click here to see answer by issacodegard(60)

Question 562806: A code consists of 3 letters. None of the letters can be repeated. How many different codes can there be?
Click here to see answer by josmiceli(9661)

Question 562808: Sergio is buying 3 different bagels. The bakery offers 7 types of bagels. How many different combinations of 3 bagels could Sergio buy?
Click here to see answer by issacodegard(60)

Question 563196: Find probability of choosing a card labeled vanilla from a group of cards labeled vanilla, chocolate, strawberry, and swirl, and then choosing a card labeled chocolate without replacing the first card.
Click here to see answer by stanbon(57250)

Question 563408: Show that (1,2), (4,6) and (10,14) are collinear By using the distance formula.
And slope!
Click here to see answer by mananth(12270)

Question 563661: if i have to pick two numbers from 1 to 10, provided the first number can't be greater than the second number. How many possible way I can represent the two number. Please suggest the formula to use?
E.g.
12 - valid
21 - not valid
Click here to see answer by josmiceli(9661)

Question 563857: How many diffrent passcodes afe there in a four digit code with number 0 to 9
Click here to see answer by fcabanski(874)

Question 564642: Using the letters A B C D E, (letters may not occur more than once) how many three-letter sequences are possible?
How many four-letter and how many five-letter sequences?
Click here to see answer by stanbon(57250)

Question 564771: How many 6-digit numbers are there in 4,6,2,3,7 and 9 if repetition is not allowed?
Click here to see answer by Theo(3458)

Question 564772: There are 5 blouses, 3 pants, 1 necktie, and 4 pairs of shoes. How many combinations are there?
Click here to see answer by ad_alta(240)

Question 564954: The functions f and g are defined by these sets of input and
output values.
g = {(1, 2), (– 2, 4), (5, 5), (6, – 2)}
f = {(2, 1), (4, – 2), (5, 5), (– 2, 6)}
a. Find g( f (2)).
b. Find f (g(6)).
c. Select any number from the domain of either g or f, and find f (g(x)) or g( f (x)), respectively. Describe what is happening.

Click here to see answer by issacodegard(60)

Question 565068: How many combinations can you make with 15 apples and 27 banana's?
Click here to see answer by Alan3354(30983)

Question 565624: how many 4-digit sequences can be formed using the digits 0,1,2,3,4,5,6?
Click here to see answer by stanbon(57250)

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