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

Tutors Answer Your Questions about Permutations (FREE)

Question 147870: The problem is P(n,2)=42, find n. The instructor gave the answer for n, which is 7. I figured out the formula knowing the answer is 7, which is n!/(n-k)!
I need to know the formula to figure out how to get the value of n. Thank you.
Click here to see answer by stanbon(57203)

Question 148291: How many ways can a baseball coach choose the first, second and third batters in the lineup of a team of 15 players.
Click here to see answer by Alan3354(30924)

Question 148292: On a bench that seats five people, how many ways can five people be seated?
Click here to see answer by Alan3354(30924)

Question 148292: On a bench that seats five people, how many ways can five people be seated?
Click here to see answer by edjones(7569)

Question 148289: If a license plate does not contain any vowels (A, E, I, O, U) or the number 5. How many different possibilities outcomes for the license plate?

Click here to see answer by Alan3354(30924)

Question 148347: suppose there are ten items on a true false test the person taking the test does not read the questions but answers randomly what is the probability of him answering all 10 qestions correctly aolve using permutations
Click here to see answer by Edwin McCravy(8879)

Question 149135: What two intergers can you multiply not using zeros to equal one million?
Click here to see answer by stanbon(57203)

Question 149385: find the number of ways a sandwich can be make from choosing 1 each of the following: white or wheat bread, and turkey, ham, or roast beef, and american cheese, swiss cheese, or cheddar cheese, and mayo or mustard.
I am confused as to which # (n,r) are
Click here to see answer by scott8148(6628)

Question 149387: From a club of 25 members, how many ways can a president, vice-president, secretary, and treasurer be selected?
which formula is used and does n=25 and r=4?
Click here to see answer by jim_thompson5910(28476)

Question 151266: There ia a question paper consisting of 10 questions. Each question has interval choice of 2 questions. in how many ways can a student attempt one or more question of the given ten question of the paper.
Click here to see answer by stanbon(57203)

Question 151446: In how many ways can 10 people be seated at a round table if 3 of them sit next to each other?
my answer is 10080. is it correct?
Click here to see answer by scott8148(6628)

Question 151513: how many ways can 15 players be chosen to form a baseball team of 9?
Click here to see answer by jim_thompson5910(28476)

Question 151551: You are asked to use six different letters to make a computer password. Find the number of possible six-letter passwords.
Am I to assume that the six letters are already picked? If so, my answer should be 6! 6x5x4x3x2x1=720 possible combinations. Is this correct?
Thanks so much for your help!
Jayne
Click here to see answer by checkley77(12569)

Question 151913: HOW MANY FOUR DIGIT NUMBERS CAN BE FORMED FROM 1,2,3,4,5,6,7 WHICH IS GREATER THAN 3400?
Click here to see answer by nabla(475)

Question 152877: There are three shirts, five pairs shorts, and two pairs shoes. How many different outfits consisting of one shirt, one pair of shorts, and one pair of shoes can be made?
Casi
Click here to see answer by edjones(7569)

Question 153112: a group of 60 students is to be randomly assigned to two classes of 30 each. (the random assignment is ordered by the school district to ensure against any bias). five of the second graders M, S, K, R, C are closed friends. what is the probability that they will all be in the same class? what is the probability that exactly four of them will be? what is the probability that M will be in one class and her friends in other class?
Click here to see answer by stanbon(57203)

Question 153166: I HAVE BEEN GIVEN A TABLE WHICH SHOWS THE MEDIAN "B.M.I" (BODY MASS INDEX) FOR FEMALES OF DIFFERENT AGES IN THE U.S IN THE YEAR 2000 . THE QUESTION IS USE TECHNOLOGY TO PLOT THE DATA POINTS ON A GRAPH?? . DEFINE ALL VARIABLES USED AND STATE ANY PARAMETERS CLEARLY??what type of function ,models the behavior of the graph? explain why one chose this function? ( very imporant!! - reason for using this function , parametres and variables )
AGE B.M.I
2 16.40
3 15.70
4 15.30
5 15.20
6 15.21
7 15.40
8 15.80
9 16.30
10 16.80
11 17.50
12 18.18
13 18.70
14 19.36
15 19.88
16 20.40
17 20.85
18 21.22
19 21.60
20 21.65

Click here to see answer by stanbon(57203)

Question 153447: 1. I am going to choose 6 students out of the 15 who currently have A's to be mentors for the students who have C's or lower. How many ways can a group of 6 be selected?
2.I've decided that the mentor group should be made up of 3 girls and 3 boys. Of the students who have A's 9 of them are girls and 6 are boys. How many ways can I form a group of 3 boys and 3 girls?
3. State and multi-state lotteries are common in the U.S. To win a typical lottery, you must match 6 numbers between 1 and 40. How many different combinations are possible? What does that say about the chances of winning the lottery?
4. A pizza shop offers the following toppings: 8 different vegetables, 5 different meats, and 4 different cheeses.
How many ways can 4 toppings be selected where:
All the toppings are vegetables
All the toppings are meat
There is only cheese on the pizza
There are 2 vegetables, 1 meat and 1 cheese
There are 3 meats and 1 cheese.
What's your favorite combo?
Click here to see answer by stanbon(57203)

Question 153448: 1.In how many different ways can 6 classes be scheduled during a 6-period day?
2.In how many different ways can you arrange the letters of the word INTERNET?
3.In how many different ways can you arrange the letters of the word COMPUTER taking 4 at a time?
4.In how many different ways can you arrange the letters of the word TRIGONOMETRY?
5.In how many different ways can the 9 starters of a baseball team be placed in their positions?
6. How many different two-digit numbers can be formed from the digits 3, 1, 4, and 5 (allowing reuse)?
7. Of 10 candidates, the first 6 are being interviewed in the morning, and the last 4 in the afternoon. In how many ways can the interviewer arrange a schedule?
8.How many seven-digit phone numbers can be formed if the first digit cannot be 0 and
a.repetition of digits is not permitted?
b.if repetition of digits is permitted?
9. The Board of Directors does not have assigned seats in the conference room. If there are 12 of them, seated at a round table, how many different seating arrangements are possible?
10. Using the letters of the word YOUNG, tell how many different 5-letter combinations are possible if:
a. the first letter must be Y
b. the vowels and consonants alternate, beginning with a consonant (Y is a consonant here and Y does not have to be first).

Click here to see answer by stanbon(57203)

Question 155471: Do exponential functions only model phenomena that grow, or can they also model phenomena that decay? Explain what is different in the form of the function in each case.
I would appreciate a detailed answer.
Click here to see answer by stanbon(57203)

Question 155572: Max enters his room to get a pair of socks, but he doesn't want to turn on the light because his brother is sleeping. he knows that he has 12 white socks and 18 black socks in the drawer, but they are all mixed up. What is the minimum number of socks that Max needs to grab in order to ensure that he will have one pair of same-color socks?
Click here to see answer by checkley77(12569)

Question 156377: How many 6 digit numbers can be made with any combination and permutation of 3 and 7? (e.g. 377777, 737777, 777333, 733733, 333337)
Click here to see answer by jim_thompson5910(28476)

Question 156301: there are 4 men and 4 women to be seated in a row, and no 2 men or 2 women can sit next to each other. How many combinations of seating are there?
Click here to see answer by gonzo(654)

Question 158731: Suppose you have six families consisting of a mother, a father, and a child.
How many ways can the families sit in a row of 18 chairs such that members of each family are sitting together?
Click here to see answer by stanbon(57203)

Question 159058: How many ways can a president, vice president , and secretary be chosen from a club with only 3 members
Click here to see answer by josmiceli(9645)

Question 159217: 1) A shipment of 40 laptop computers containing 6 defective ones. The shipping department selects seven of these laptops and rejects the entire shipment if one or more are defective.
a) How many selections can be made?
b) How many of these selection will contain no defective computers?
c) How many selection will contain at least two defective ones?
2) By playing Scrabble we ended up with the five remaining letters B, A, R, R, E. In how many ways can three of these five letters be arranged in a row if at least one of the letters is R?

3) In how many ways can the letters of the word STATISTICS be arranged in a similar text where the first and the last letters of the word are fixed but the remaining letters inside are arranged arbitrarily?

Click here to see answer by edjones(7569)

Question 159379: There are six people, six seats. What is the probability that both the youngest girl and the eldest boy (3 girls, 3 boys in total) are seated at each end?
(yes, this one is easy...but the next question i don't get at all...)
.
.
.
What is the probability that exactly one of them (not at least, but exactly one of them) gets seated at the end?
Thanks for any help at all!
Click here to see answer by stanbon(57203)

Question 159546: there are five students, they are A, B, C, D, and E. They are want to sit down on the chair. how many ways the five students can sit if A must beside B?
Click here to see answer by atique.ah(26)

Question 159547: can you explain, how to get the combination formulas? and what's the different between permutation and combination?
Click here to see answer by gonzo(654)

Question 160059: After leaving the polls, many people are asked how they voted. Concerning propositions A,B, and C the following info was obtained. 294 voted yes on A, 90 voted yes only on A, 346 voted yes on B, 166 voted yes only on B, 517 voted yes on A or B, 339 voted yes on C, no one voted yes on all three and 72 voted no on all three. What percent of the voters voted yes on more than one proposition.
Click here to see answer by Edwin McCravy(8879)

Question 160888: A social security number consists of nine digits. How many different Social Security numbers are possible if repetition is permitted?
Click here to see answer by Edwin McCravy(8879)

Question 161167: A company that employees 6 manager, 15 clerical workers and 23 warehouse personnel is relocating and wants to create a committee that has representatives from each group to oversee the process. How many different ways can they select 2 managers, 4 clerical workers and 7 warehouse personnel to serve on this committee?
Click here to see answer by stanbon(57203)

Question 161543: there are five students they will sit down on the bench. 2 students between that five students are A and B. how many ways A and B can sit down if A and B must be sit contiguous
Click here to see answer by oscargut(891)

Question 162823: I have five possible days (Tues., Wed., Thurs.,Fri., and Sat.), which I need to group into threes without any repetition. How many possible combinations will result?
Click here to see answer by joecbaseball(37)

Question 162961: can someone please help me with this problem:
12C0 (the 0 is at the bottom of C)
a. 12
b. 11
c. 39,916,800
d. 1
Click here to see answer by jim_thompson5910(28476)

Question 163614: Determine the number of different three letter "words" that can be formed using the letters from the word "ARRANGE"
Click here to see answer by edjones(7569)

Question 163408: I need to figure out how many possible milkshake combinations there can be with 64 ingredients. No ingredient can be used more than once in a combination and there is a max of 5 ingredients per combination.
Thanks for your help.
Click here to see answer by ankor@dixie-net.com(15622)

Question 163939: 30 kids, gold silver and bronze medals, how many different winning arrangements can there be if each team consists of 5 students?
Click here to see answer by josmiceli(9645)

Question 166109: How many different seating arrangements are possible for 6 people in 4 chairs?
Click here to see answer by jim_thompson5910(28476)

Question 166200: how many3-digit numbers can be formed by using the digits 1 to 9 if no digit is repeated?

Click here to see answer by checkley77(12569)

Question 166200: how many3-digit numbers can be formed by using the digits 1 to 9 if no digit is repeated?

Click here to see answer by edjones(7569)

Question 167634: The neighborhood association with sixteen members also needs to select a committee of four to oversee fundraising. How many possible committees are there?
Click here to see answer by jim_thompson5910(28476)

Question 169245: My problem is a "combination problem" like this:
At a restaurant you have:
5 Main Courses
10 Side Dishes (can choose 2 or the same one twice)
4 Desserts
What is the total combination of choices?
Click here to see answer by Alan3354(30924)

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