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

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Question 115975: From a pool of 7 secretaries, 3 are selected to be assigned to 3 managers, 1 secretary to each manager. In how many ways can this be done?
Click here to see answer by solver91311(16885)

Question 116189: the word problem is " Mosley Hills has reserved the digits 444, 445, and 446 as the prefixes for their phone number. How many different phone numbers are possible?
Click here to see answer by heidi(17)

Question 116296: Simplify:

-5(-3 + 8)
Click here to see answer by MathLover1(6632)

Question 116297: Simplify:
(-11)(-5)
Click here to see answer by bucky(2189)

Question 117274: 7P(n,3) = 6P(n+1,3)
Not sure why the answer is n=20.
Click here to see answer by Edwin McCravy(8909)

Question 117767: How many two-letter permutations can be made from the letters L,M,N,O, and P?
How many three-letter combinations can be made from the letters in the word BLACK?

Thanks whoever helps me because I am totally confused.
Click here to see answer by jim_thompson5910(28595)

Question 117870: In how many ways 5 girls & 5 boys can be arranged if at least 2 girls sit together?
I know one method
10! - 5!x6!
but i want to it by another method so please help me for that
Click here to see answer by Edwin McCravy(8909)

Question 118127: Please help me with the following problem:
A poker hand consistes of 5 cards dealt from an ordinary deck of 52 playing cards.
a). How many poker hands are possible?
b). How many different hands consisting of three kings and two queens are possible?
c). The hand in part (b) is an example of a full house: 3 cards of one denomination and 2 of another. How many different full houses are possible?
d). Calculate the probability of being dealt a full house.
This is dealing with the counting rules and using the combination rule and the permutations rule.
Thank you for your help.
Click here to see answer by stanbon(57347)

Question 118625: There are 12 teams in a curling competition. After the round-robin portion the 1st place teams plays the 4th place team and the 2nd place team plays the 3rd place team in the semi-finals. Determine the number of different possible pairings for the semifinal games. Explain your answer.
Any help would be appreciated. Thanks.

Click here to see answer by stanbon(57347)

Question 118735:
How many three-letter combinations can be made from the letters in the word BLACK?

Thanks I really need help with this!!!!
Click here to see answer by checkley71(8403)

Question 119877: Solve for n.
35. P(n,4) = 40[P(n-1,2)]

36. P(n,4) = 3[P(n,3)]

37. n[P(5,3)] = P(7,5)]

38. 208P(n,2) = P(16,4)

how exactly do you solve for n? please and thank you.

Click here to see answer by stanbon(57347)

Question 121408: a certain car averages 28 miles per gallon. gasoline cost 1.11 per gallon. to the number of miles the car would be expected to go on 250 worth of gasoline?

Click here to see answer by checkley71(8403)

Question 121929: "ringing the Changes" is a process where the bells in a tower are rung and all possible permutations. Westminster abbey has 10 bells in its tower. In how many ways can its bells be rung?
Click here to see answer by stanbon(57347)

Question 122357: how do i find the premutation on 13 p 8
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Question 122836: How many permutations of the leters ABCDEFG contain
(a)the string BCD
(b)the string CFGA
(c)the string BA & GF
(d)the string ABC & DE
(e)the string CBA & BED
Click here to see answer by stanbon(57347)

Question 125203: How many different numbers can be formed with the digits 2,4,6,8,0 each being divisible by ten, repetition of the digits being not allowed?
Click here to see answer by checkley71(8403)

Question 125202: How many numbers each less than 400 can be formed from the digits 1,2,3,4,5,6, if repetition is allowed?
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Question 125201: A,B& C be three towns. Suppose there are four routes between A & B. Ane five routes between B & C. In how many different ways one can travel from A to C via B?
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Question 125894: a shipment of 15 television sets contains four defective ones. in how many ways can one select 5 of these for inspection so that:
a. none of the defective television sets are included
b. both of the defective television sets are included
c. only one of the defective television sets are included
d. either two of the defective television sets or three of the non defective sets are included
Click here to see answer by stanbon(57347)

Question 128014: P(5,3)

I have tried 5!and added 3!
Click here to see answer by checkley71(8403)

Question 128817: Find the number of possible 5-card hands that contain the cards specified: 4 aces and 1 other card. I was able to find the formula for a 5-card hand with 2 aces but I'm lost. For 2 aces, it's C(52,5) - C(48,5) - C(4,1) X C(48,4) but I don't understand all the parts. I know C(52,5) is the total possiblilities of a 5-card hand out of 52 cards and C(48,5) is the 48 remaining cards but I'm not sure about the C(4,1) and the next C(48,4)?

Click here to see answer by stanbon(57347)

Question 129607: Given two six sided dice, compute the probability of rolling a nine.
Click here to see answer by HyperBrain(694)

Question 130512: A seven digit phone number consists of a three-digit prefix followed by four digits. How many different phone numbers are possible for a particular prefix?
Click here to see answer by edjones(7569)

Question 131198: A committee is going to select 5 students from a pool of 30 to receive scholarships. How many ways could the students be selected if each scholarship is a different amount?
Click here to see answer by checkley71(8403)

Question 131199: Consider eight points in a coordinate plane that no three are collinear. How many triangles can be drawn?
Click here to see answer by stanbon(57347)

Question 131197: In a round-robin tennis tournament, every player meets every other player exactly once. How many players can participate in a tournament of 45 matches?
Click here to see answer by scott8148(6628)

Question 132463: a booster club is saling meals at a basketball game a meal consist of a hamburger, personal pizza, chicken nuggets, sub sandwhich, chili, and tacos, the meals come with a drink that can include, tea, lemonade, cola, rootbeer, and kool aid
Click here to see answer by stanbon(57347)

Question 132491: how many different 4-digit numerals are there? (hint: zero cannot be used as the first digit)
Click here to see answer by checkley71(8403)

Question 132488: there are 3 roads connecting town A and B, and 4 roads connecting towns B and C. how many different routes are there from town A to town C?
Click here to see answer by checkley71(8403)

Question 134022: how many different six-digit numbers can be formed from the digits 1,2,3,4,5, and 6 if each digit is only used once?
Click here to see answer by solver91311(16885)

Question 134022: how many different six-digit numbers can be formed from the digits 1,2,3,4,5, and 6 if each digit is only used once?
Click here to see answer by checkley71(8403)

Question 134503: how many four-digit numbers starting with 1 and ending with 5 can be written if the digits 1 2 3 4 5 6 7 8 9 are used, including the cases when a digit may appear twice in a given number?
Click here to see answer by edjones(7569)

Question 135425: why are the two types of circular permutations different?in case of beads (n-1)! is used and in case of beads (n-1)!/2 is used. why?? in case of flowers which one of them will be used??
Click here to see answer by stanbon(57347)

Question 136121: Evaluate

C
15 9
Answers to this question would be much obliged..the 15 is supposed to be on left side of the C,sorry.
Click here to see answer by solver91311(16885)

Question 136324: Hello. I appreciate all that you do here. This is my second time. I was very happy with how the answer was so in depth. Thank you very much. This one question has got me in the muddle at the moment. I have soem ideas. But a little lost. Here it is.
"Prove that if n is an Integer and log2 is Rational, then log2 n is an Integer?"

Click here to see answer by stanbon(57347)

Question 136380: how do you find the vertical and horizontal asymptotes, the hole and RD and graph the problem: y= 3/(x-2)(x+2)
Click here to see answer by solver91311(16885)

Question 136931: I have several word problems to solve but this is the first one. John owns a hotdog stand. His profit is represented by the equation P(x)=-x^2+12x+46, with P being profits and the x the number of hotdogs sold. What is the most he can earn?
Click here to see answer by dolly(163)

Question 136664: Jason is filling grab bags for the school festival. Two hundred
bags are lined up on a long table. He has already placed crackers and
other food items in each bag and now has a limited amount of prizes to
add to some of the bags. If he places prize A in every 8th bag, prize B in
every 12th bag, and prize C in every 15th bag, which bag will have all
three prizes?

Click here to see answer by stanbon(57347)

Question 137326: Divide using long division:
(12x squared - 35x + 8) divided by (4x - 1)
Click here to see answer by stanbon(57347)

Question 137450: i need to know the laest common multiple of the pair of polynomials and have them factored. i am stuck on these two:
1) (1)/6x2-11x+3 (+) (1)/8x2-18
2) 4r/r-2 (+) 4r/r+2

thank you for your help!
Click here to see answer by ankor@dixie-net.com(15652)

Question 139724: Can you please help me with this?
If one person is chosen randomly from the list of all the members of the House and Senate for that year, what is the probability that the person chosen was a Democratic senator?
Member of Democrat Republican Other Total
House 292 143 0 435
Senate 61 38 1 100
Total 353 181 1 535

Click here to see answer by checkley75(3666)

Question 139723: Please help me. We are working on probability and I am not so good with it. I am not sure it the answer would be 1/23--that just seems too easy. If you can please help me, I would be thankful. Here is the problem.
A bag contains 9 green marbles, 8 red marbles, and 7 blue marbles. Without looking, a marble is drawn from the bag. What is the probability that a red or a blue marble will be drawn?

Click here to see answer by checkley75(3666)

Question 139702: 8!
________
2!(8-2)!
Click here to see answer by checkley75(3666)

Question 139698: 4! x 6!
Click here to see answer by checkley75(3666)

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