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

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Question 620469: An urn contains 8 marbles identical in every aspect except color. There is 1 red marble, 2 green marbles, and 5 blue marbles.You draw two marbles from the urn, but replace the first marble before drawing the second. Find the probability that the first mable is blue and the second is green.

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Question 620520: How many five-person committees can be selected from nine people
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Question 621021: In how many ways can a softball manager arrange the first four batters in a lineup of nine players? I've looked in my math book many times and the way they put is hard for me to understand.It's like im missing a step put which one? Can you please help me??
Click here to see answer by solver91311(16897)

Question 621174: How many different 5-digit zip codes are there if no digit is repeated?
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Question 621128: how many 5 people committees are possible from a group of 10 women and 8 men. each committete must have 3women and 2 men.
Click here to see answer by nerdybill(6963)

Question 621476: 1. In a math class, there are 12 boys and 14 girls. Five of the boys and 8 of the girls wear glasses. A person is chosen at random to be stuffed into cannon and fired through a flaming loop into a pool or tigers and crocodiles. What is the probability that
(a) The person wears glasses?
(b) The person is a boy or the person wears glasses?
(c) The person is a boy and the person wears glasses?

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Question 621626: if a coin is tossed 5 times, how many different outcomes are possible?
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Question 621721: There are 6 swimmers in the finals of the backstroke competition.How many different ways can the swimmers finish the race?
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Question 621807: Let n>4.
In how many ways can we choose 4 vertices of a convex n-gon so as to form a convex quadrilateral, such that at least 2 sides of the quadrilateral are sides of the n-gon?

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Question 622256: A computer password consists of 8 characters(letters and digits only)
1.how many have 3 litters and 5 digits?
2.How many have no repetitions?
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Question 622856: Find the number of permutations of seven different flags hung in a row.
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Question 622984: A committee of 12 wants to elect a President, Vice President, Secretary and Treasurer from its membership. How many different ways can this be accomplished?
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Question 623027: On an English test, Tito must write an essay for three of five questions in Part 1, and four of six questions in Part 2. How many different combinations of questions can be chosen?
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Question 623361: A commitee of 6 members is formed out of 7 men and 5 women.how many commitees can be formed so that at least 1 woman is always on the commitee?
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Question 623734: There are ten members in a club. How many different ways can a president, vice president, and a treasurer be chosen?
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Question 623640: How many different sandwiches can you make if you can choose exactly three items out of seven?

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Question 623856: a boy is taking a matching test in which he is supposed to match 4 answers with a questions. In how many ways can he answer the 4 questions
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Question 623971: A committee is to consist of two members. If there are four men and seven women available to serve on the committee, how many different committees can be formed?
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Question 624009: If there are three ways of going from A to B, and four ways of going from B to C, how many ways are there from A to C via B ?
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Question 624063: how many different codes of 4 digits are possible if the first digit must be 3,4, or 5 and if the code may not end in 0?
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Question 624068: a card is picked at random from a standard deck of 52 playing cards. Find the odds that it is not a heart?
Click here to see answer by edjones(7569)

Question 624026: You have a bag filled with a large amount of 5 cent, 10 cent, and 25 cent coins. In how many distinct ways can you make the sum of $1 out of these coins? There are enough of each kind to make all needed combinations.
(A) 25 (B) 26 (C) 27 (D) 28 (E) 29
Please explain in detail how to solve this question! Thanks!
Click here to see answer by solver91311(16897)

Question 624070: A delivery route must include stops at four cities. How many different routes are possible?

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Question 624513: In how many ways can five people line up to get on a bus, but two of the people refuse to stand next to each other?
Click here to see answer by Edwin McCravy(8921)

Question 624437: Using the digits 1,2,3,4,5 only once .how many numbers greater than 41000 can be formed?
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Question 624438: Using the digits 1,2,3,4,5 only once .how many numbers greater than 41000 can be formed?
Click here to see answer by Edwin McCravy(8921)

Question 624977: A single die is rolled five times, and the number of fours that come up is tallied. Find the probability of getting exactly two fours. (I want to know how to set it up to get me answer and the answer so that i can fill in the numbers that leads to that answer)
Click here to see answer by sudhanshu_kmr(1152)

Question 625516: You buy a computer with 5 choices of color, 9 choices of monitor size, 12 choices of harddrive size, and either a regular or large size battery. How many leaves does the tree have if you use a tree diagram?
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Question 625512: if there are 6 students who all want to be in a group of 3 people, how many groups can be chosen?
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Question 625690: Question
There are 8 men and 10 women members of a club. How many committees of seven persons can be formed, having 4 women?
Click here to see answer by jim_thompson5910(28598)

Question 625798: How many combinations are possible by using 2 one rupee coin, 3 two rupee coin and 6 five rupee coin. You can take any number of coins at a time but at least one.
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Question 625835: In how many ways can a group of 4 people be selected for a party planning committee from a class of 25?
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Question 625919: Hi there.
The problem I need help with is to solve algebraically for "n" in
nP4=8(n-1P3).
Thanks
Click here to see answer by Theo(3472)

Question 626154: Which of the following does not represent the number of ways a president, vice president, and secretary can be chosen from a group of 5 people?
A.P(3,5)
B.5*4*3
C.P(5,3)

Click here to see answer by jim_thompson5910(28598)

Question 626170: A class is working on finding patterns among the counting numbers. A student noticed an interesting pattern. She said that if you take 3 consecutive counting numbers (e.g. 7,8&9) and square the middle number (8 squared) then the resulting number (64) is one larger than the product of the two other numbers (i.e 64 is one greater that 7 x 9 = 63). Is this true for all sets of three consecutive numbers?
Click here to see answer by solver91311(16897)

Question 626167: A 40-member club will elect a president and elect a vice president. How many possible ways can a president and vice president be elected from this club/
Suppose the 40 member club instead elects two co-presidents. How many possible ways can co-presidents be elected from this club?
How are these questions alike and how are they different?
Click here to see answer by Theo(3472)

Question 626523: hello i need help on this problem 19c16? thanks
Click here to see answer by jim_thompson5910(28598)

Question 626537: An employer interviews 8 people for 4 technical support positions in a company, and 3 of the 8 people are men. If all 8 are qualified, in how many ways can the employer fill the technical support positions if exactly 2 are men
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Question 626536: An employer interviews people for technical support positions in a company, and of the people are men. If all are qualified, in how many ways can the employer fill the technical support positions if exactly are men
Click here to see answer by stanbon(57424)

Question 626770: A local high school has 765 students, 7 out of 8 are females. How many female students are there?
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Question 626984: find the number of permutations of all the letters of miscellaneous.
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Question 627103: Your math teacher gives your class a list of ten study questions. Five or six of the questions will be on the next test. In how many ways can your teacher choose five or six of the questions?
Click here to see answer by stanbon(57424)

Question 627257: Three people out of 12 are selected to hold an office. The positions are president, vice president and secretary. In how many ways can these offices be held?
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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