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

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Question 398094: the letters in the word BANANAS are to be arranged.A word can be considered formed without being meaningful.Finds event R, Q and T.
R: the words start and end with an A
Q: All the N's in the word are kept together
T: All the A's in the word are kept together
Click here to see answer by stanbon(57377)

Question 398131: 1) how many different ways can the letters in the word STATISTICS be arranged if all the letters T are seperated?
2) a group of five people is to be formed from 6 men and 8 women for a trip.In how many ways can the five people be selected if John and Mary must go on the trip and there are more men than women?
Click here to see answer by stanbon(57377)

Question 398234: Find the fourth term in the expansion of (2x-1)^6
Click here to see answer by Alan3354(30993)

Question 398234: Find the fourth term in the expansion of (2x-1)^6
Click here to see answer by stanbon(57377)

Question 398234: Find the fourth term in the expansion of (2x-1)^6
Click here to see answer by Edwin McCravy(8909)

Question 398229: You are given an exam with 22 questions and may choose 2 not to answer, how many ways can you pick the questions to answer?
Click here to see answer by Alan3354(30993)

Question 398228: If you have 20 students in your class how many different ways can a committee of 5 be chosen if 1 person on the committee will be the president?
Click here to see answer by stanbon(57377)

Question 399184: 1-in how many ways can a committee of 3 be selected from a class of 8 students?

Click here to see answer by solver91311(16897)

Question 399814: If a team of four players must be made from 8 boys and 6 girls, how many teams can be made if there must be two boys and two girls?

Click here to see answer by sudhanshu_kmr(1152)

Question 400542: How many ways can two teams of 4 players be chosen from 10 people?
Click here to see answer by sudhanshu_kmr(1152)

Question 400615: How many possibilities are there for a test with 15 true and false questions, if all of them must be answered?
Click here to see answer by josmiceli(9691)

Question 400616: determine how many 4-digit numbers can be formed that contains at least one 3.
Click here to see answer by sudhanshu_kmr(1152)

Question 400849: A committee of 6 people is to be chosen from a group consisting of 7 men and 8 women. If the committee must consist of at least 3 women and at least 2 men, how many different committees are possible?
Click here to see answer by sudhanshu_kmr(1152)

Question 401116: Please help me with this,
There are 11 members on the schools fencing team, how many ways can you choose a 5 person team from them?
Click here to see answer by Tatiana_Stebko(1326)

Question 401376: A box contains 5 red, 4 blue and 3 white balls. In how many ways can we select 3 balls such that
a. They are of different colors?
b. They are all red?
c. Two are blue and one is white?
d. None is blue?

Click here to see answer by sudhanshu_kmr(1152)

Question 401638: Please help........
Eight couples are participating in a game. Four persons are to be chosen randomly. In how many ways it have at least one couple?
Click here to see answer by micheal jacob(2)

Question 401660: if a multiple choice test consists of 5 questions each with 4 possible answers of which only one is correct,
a, in how many different ways can a student check off one answer to each question?
b, in how many ways can a student check off one answer to each question and get all the answers wrong?
Click here to see answer by stanbon(57377)

Question 401885: A debate team of 4 is to be chosen from a class of 35. There are two twin brothers in the class. How many possible ways can the team be formed which will include only one of the twin brothers?
Click here to see answer by Edwin McCravy(8909)

Question 401993: Amy is trying to determine how many different outfits she can make. She has 4 bottoms, 7 tops, 2 belts, and 5 pairs of shoes. Assuming she wears one of each item, how many different outfits can she make?
Click here to see answer by robertb(4012)

Question 402016: How many ways are there to pick an even numbered card or a spade? (using permutation or combination, and the deck has 52 cards)
Click here to see answer by robertb(4012)

Question 401992: There are 8 students.the teacher wants to divide them into groups of two.how many combinations are there?
Click here to see answer by robertb(4012)

Question 401992: There are 8 students.the teacher wants to divide them into groups of two.how many combinations are there?
Click here to see answer by sudhanshu_kmr(1152)

Question 402052: Three coins are selected from nine coins: 3 dimes, 5 nickels, and 1 quarter. In how many ways can the selection be made so that the value of the coins chosen is at least 25 cents?
I couldn't figure out how to use a combination
Click here to see answer by edjones(7569)

Question 402098: Mrs. Brokes had twice as many tendollar bills as five-dollar bills. She
had $675 in all. Which of the
following equations CANNOT be
used to figure out how many of
each bill she had?
A. 5 x + 10 ( 2 x ) = 675
B. 25 x = 675
C. x + 2x = 675
D. 5 x + 20 x = 675
Click here to see answer by mananth(12270)

Question 402843: In how many different ways can a starting lineup of 5 players be selected from a group of 12 basketball players?
Click here to see answer by jim_thompson5910(28595)

Question 402845: A secratary has to create ten new customer files. In how many different orders can he do this?
Click here to see answer by jim_thompson5910(28595)

Question 402856: Six applications apply for two jobs. How many different outcomes are possible? Is this question Permutation or Combination?
Click here to see answer by jim_thompson5910(28595)

Question 402856: Six applications apply for two jobs. How many different outcomes are possible? Is this question Permutation or Combination?
Click here to see answer by rapaljer(4667)

Question 403215: A group of 7 women and 7 men must select a four-person committee. How many committees are possible if it must consist of the following?
two women and two men?
a majority of women?
Click here to see answer by sudhanshu_kmr(1152)

Question 403254: A committee of 5 is to be selected from a group of 21 people. How many different committees are possible, given the following conditions?

b. One person is the chair and the rest are general members.
Click here to see answer by stanbon(57377)

Question 403381: I am having so much trouble figuring out these string problems.I am just wondering if I have this one right. How many 8 bit strings contain exactly 2 1's. If its not right can I get the answer plus the math to figure it out right. Thanks, Kim
Heres what I have:
C(8,2) 8!/8!2!
8*7*6/2*1*6
56/2
answer 18
Click here to see answer by sofiyac(695)

Question 403426: I am taking a finite math class and I'm stuck on my one problem, I was hoping you could help me. the problem states:
a group of 9 people is going to be formed into committes of 4, 3, and 2 people. how many committees can be formed if
a) a person can serve on any number of committees?
b) no person can serve on more than one committee
i have racked my brain an just can't seem to figure it out.
thank you for your help.
Click here to see answer by Edwin McCravy(8909)

Question 403494: How many arrangements can be made using three letters from the word DOLPHIN if no letters are repeated?
Click here to see answer by Alan3354(30993)

Question 403530: I need help to solve this world problem. Please help me, I need the formula.
There are 14 people running for President, Vice President and Secretary. How many different arrangments can be made?
Click here to see answer by jim_thompson5910(28595)

Question 403546: To win the lottery you ,must pick six numbers from 49 balls numbered 1-49. The order in which you pick the balls doesn’t matter. How many different combinations can you pick?
Click here to see answer by stanbon(57377)

Question 403528: In how many ways can you answer a 20 question true-false test if you must answer exactly ten questions with "true"?
Click here to see answer by sudhanshu_kmr(1152)

Question 404033: Find the number of ways in which a committee of 5 can be selected from a group of 8 people.
Click here to see answer by robertb(4012)

Question 404119: given f(x)=20x+7 and g(x) =2x^2-4x+13, find (f-g)(x) then evaluate the difference when x=10.
Click here to see answer by stanbon(57377)

Question 404201: How do you solve this permutation question?: n_P_4
Click here to see answer by sudhanshu_kmr(1152)

Question 404301: If a multiple-choice test consists of 5 questions each with 4 possible answers of which only 1 is correct.
In how many ways can a student check off one answer to each question and get all the
answers right?
Click here to see answer by stanbon(57377)

Question 404382: how many possibilities are there to select a team of three members from six players?
Click here to see answer by stanbon(57377)

Question 404417: How do you answer 26! It seems the bigger the number we get a scientific notation. What is an easy way to answer n! if n is a big number?
Click here to see answer by robertb(4012)

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