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

Tutors Answer Your Questions about Permutations (FREE)

Question 590973: you are taking a multiple choice test that has 7 questions.Each of the questions have 5 answer choices, with one correct answer per question. If you select one choice for each question and leave nothing blank, in how many ways can you answer the question?
Click here to see answer by ad_alta(240)

Question 591710: A student's PID is a sequence of six digits. How many different PID numbers are possible? The answer is 1,000,000 but how do I get the answer?

Click here to see answer by Alan3354(30993)

Question 592067: two cards are drawn at random from a standard deck of 52 cards, without replacement. what is the probability of drawing a 7 and a king in that order?
Click here to see answer by edjones(7569)

Question 592357: (2x^2+3x-5)/(2x-2)
Click here to see answer by unlockmath(1599)

Question 592783: If there are seven junior students and ten senior students, how many combinations of students can form a committee of six students if at least one student is a senior student.
I thought it was 10C1 x 16C5 , but apparently that's wrong?
Please help me!
Click here to see answer by scott8148(6628)

Question 592779: what does n equal when n-2/3=5 1/6
Click here to see answer by rfer(12657)

Question 592845: there are 4 teams in a league. How many different ways can they end the season in 1, 2, 3, 4 place? You may want to use A, B, C, D to represent the four teams. You must make a list showing all the different ways.
Click here to see answer by jim_thompson5910(28546)

Question 592850: How many ways can three people be selected from a group of seven? Is that a combination or permutation?
Click here to see answer by jim_thompson5910(28546)

Question 592874: A telemarketing firm has 35 applicants for 8 identical entry-level positions. How many ways can the firm choose 8 employees? Is it a permintation or a combination?
Click here to see answer by jim_thompson5910(28546)

Question 593309: Will you please show me the steps for getting from a = 500 - (n-1)a/2 to a = 1000/n+1?
Click here to see answer by scott8148(6628)

Question 593937: How to find the number of ways 12 students can be divided into 2 groups of 8 students and 4 students
Click here to see answer by sudhanshu_kmr(1152)

Question 593709: In how many ways can a six-member committee form a subcommittee with at least two members?
I thought it would be 2^6 - 2 but the answer is suppose to be 57.
Click here to see answer by sudhanshu_kmr(1152)

Question 594307: simplify fully
n!-2(n-2)! / (n-2)(n-2)!
Click here to see answer by mamiya(56)

Question 594531: If nPr=55440 and nCr=462nCr =462,determine "\"r\""
Click here to see answer by jim_thompson5910(28546)

Question 594527: simplify fully: n!-2(n-2)!/(n-2)(n-2)! State any restrictions on "n"

Thank you!
Click here to see answer by jim_thompson5910(28546)

Question 594643: How many ways can 3 ribbons be awarded to 6 dogs at a show?
Click here to see answer by edjones(7569)

Question 594526: Solve: 3n(n-2)!/(n-3)=105 Solve for "n" State any restrictions.

Thank you!
Click here to see answer by richard1234(5390)

Question 594458: how many ways can you make it a sandwich by choosing 4 of 10 ingredients
Click here to see answer by richard1234(5390)

Question 594458: how many ways can you make it a sandwich by choosing 4 of 10 ingredients
Click here to see answer by Alan3354(30993)

Question 594320: simplify (n-1)C(r-1) + (n-1)Cr
Click here to see answer by richard1234(5390)

Question 594788: a restaurant has 5 appetizers, 10 main dishes, 7 desserts and 3 drinks. how many complete meals are possible?
Click here to see answer by Scarlette(3)

Question 595094: YOU HAVE 80 MOVIES. HOW MANY COMBINATIONS CAN YOU MAKE WITH 10 MOVIES ?
Click here to see answer by math33(31)

Question 595375: I need help with this math problem.Its a multiple choice & i need to know how you got the answer.
A new area code has been created. The phone number will have 7 digits, but the first digit cannot be 0 or 1. How Many phone numbers are possible in the new area code ?
A- 800,000
B- 1,000,000
C- 8,000,000
D- 80,000,000
Click here to see answer by jim_thompson5910(28546)

Question 595386: Julia has six blouses-green,ivory, lavender, pink, blue, and white. she has four skirts-tan gray, jnavy, and black. how many different combinations of skirts and blouses she can choose? (show me how or what formula to use)
Click here to see answer by jim_thompson5910(28546)

Question 595415: how many different 3 digit numbers can be made using the digits 1,3,5,7,9 if the number must begin with a 1
Click here to see answer by jim_thompson5910(28546)

Question 595769: The question is - Mrs.Cabrillo is designing a ring.She can choose the cut of the stone in 23 ways,the setting of the stone in 24 ways, and the metal in 22 ways.In how many ways can she design her ring? Thank you
Click here to see answer by stanbon(57290)

Question 595797: The access code for a car's security system consists of four digits. The first digit cannot be 5 and the last digit must be even or zero. How many different codes are available?
Click here to see answer by stanbon(57290)

Question 596236: two cards are drawn from a standard deck of 52 cards without replacement. find the probability that the first card is an ace and the second is a 2.
Click here to see answer by jim_thompson5910(28546)

Question 596245: Paulo is putting 8 books on a bookshelf.In how many different arrangements can he put the books?
Click here to see answer by stanbon(57290)

Question 596379: How many combinations with 12345 without repeating the numbers
Click here to see answer by jim_thompson5910(28546)

Question 596765: a)how many student must be in class to guarantee that at least three were born in the same month
b) given any set of four integers, must there be two that have the same remainder when divided by 3 ? why?
Click here to see answer by solver91311(16877)

Question 596789: In a 20-card playing deck with only 10s, jacks, kings, queens, and aces, what is the probability that a person is dealt a hand of five caeds that are all diamonds?
Click here to see answer by solver91311(16877)

Question 596985: in how many ways can you select one algebra book, one geometry book and one calculus book from a collection of 8 different algebra books, 5 different geometry books and 3 different calculcus books
Click here to see answer by jim_thompson5910(28546)

Question 597573: 5p4
Click here to see answer by rapaljer(4667)

Question 597669: How many different arrangements can be made using all the letters in the word GAME?
Click here to see answer by stanbon(57290)

Question 597719: Prestige Builders has a development of new homes. There are six different floor plans, five exterior
colors, and an option of either a two-car or a three-car garage. How many choices are there for one
home?
Click here to see answer by jim_thompson5910(28546)

Question 597641: explain how to figure out how many chances for president, vice president, and secretary if there are 20 students
Click here to see answer by jim_thompson5910(28546)

Question 597913: THE NUMBER OF WAYS TO ELECT THREE MEMBERS TO A COMMITTEE FOR A CLUB FROM AMONG TWELVE MEMBERS IS
Click here to see answer by edjones(7569)

Question 597895: From a group of 8 men and 7 women, a committee of 4 is chosen. What is the probability that 2 men and 2 women will be chosen? Please show all of the steps for solving, thanks.
Click here to see answer by edjones(7569)

Question 597893: I have 52 cards in a deck. 5 of those cards are in my hand. One's an ace and the rest are not. How many combinations can I have? (How do I solve it?)
Click here to see answer by edjones(7569)

Question 598180: an east viginia license plate starts with a digit other than 0 or 1, followed by twi capital letters, followed by 3 more digits. how many possible license plates are there?
Click here to see answer by solver91311(16877)

Question 598636: Find the number of distinguishable permutations formed by using each of the letters ``AABCD'' once and only once
Click here to see answer by stanbon(57290)

Question 598665: You are dealt 5 cards from a shuffled deck of 52 cards. Find the probability that all five cards are picture cards. Give your answer as a decimal to four places.
Click here to see answer by edjones(7569)

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