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

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Tutors Answer Your Questions about Permutations (FREE)


Question 176287: 6!
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Question 170668: : 1.how many 7-digit telephone numbers are possible if the first digit cannot be 0 and
a: only odd digits may be used.
b: the telephone number must be a multiple 0f 10
c: the telephone number must be a multiple of 100
d: the 1st 3 digits are 481
e: no repetition are allowed.This question is from textbook
: 1.how many 7-digit telephone numbers are possible if the first digit cannot be 0 and
a: only odd digits may be used.
b: the telephone number must be a multiple 0f 10
c: the telephone number must be a multiple of 100
d: the 1st 3 digits are 481
e: no repetition are allowed.

Click here to see answer by EMStelley(143) About Me 

Question 176545: Please Help me solve this question: A particular website requires that users select a password with between 6 and 8 characters (inclusive). Each character can be a lower case letter, an upper case letter, or one of the digits 0,1,2,...,9. A password must start with a letter, and must have at least one digit. A sample password is tIc4SS. How many such passwords are possible.
Thanks

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Question 176974: Find n so that nC3=nP2
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Question 176989This question is from textbook Mathmatics for Elementary Teachers
: An auditorium has 50 rows of seats. The first row has 20 seats, the second has 21, each row having 1 more seat than the previous. How many seats are there together?
(I figured it out by multiplying 50x20, and then adding the product with the sum of 49+48..., but I do not know a short cut or formula to get the answer)
This question is from textbook Mathmatics for Elementary Teachers

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Question 176991: A club consists of 25 married couples. Determine how many ways a committee of 7 people can be formed from these couples if
a) there are no restrictions?
b) there are exactly 5 men on the committe?
c) at least one person must be a man?
d)there must be at least 3 women and at least 2 men?: A club consists of 25 married couples. Determine how many ways a committee of 7 people can be formed from these couples if
d)there must be at least 3 women and at least 2 men?

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Question 177533: 1) The flow of heat (Q) through a material is given by Q = (K.A.O.)/ d
a) Transpose the formula to make A the subject.
b) find the value of A if Q = 300, O = 40 , d = 0.5 and K = 24

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Question 179113This question is from textbook Permutation and Combinations
: Please you help me solve these question.
How do you know?
6.)Members from 6 different school organizations decorated floats for the homecoming parade. How many different ways can first,second, and third prize be awarded?
8.)Gregory has a coupon for $1 off the purchase of 3 boxes of Munchie brand cereal. The store has 5 different varieties of Munchie brand cereal. How many ways can Gregory choose 3 boxes of cereal so that each boz is a different variety?
Please rely me back as soon as you could.
Thank you so much.
This question is from textbook Permutation and Combinations

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Question 179123This question is from textbook Permutation and Combinations
: Please you help me fins this problem
How do you know?
15.) What if...? In the United Kingdom's National Lottery, you must correctly select a group of 6 numbers from 49. Suppose that the contest were changed to selecting 7 numbers. How many more ways would there be to select the number?
Please rely me back as soon as you could.
Thank you.
This question is from textbook Permutation and Combinations

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Question 179123This question is from textbook Permutation and Combinations
: Please you help me fins this problem
How do you know?
15.) What if...? In the United Kingdom's National Lottery, you must correctly select a group of 6 numbers from 49. Suppose that the contest were changed to selecting 7 numbers. How many more ways would there be to select the number?
Please rely me back as soon as you could.
Thank you.
This question is from textbook Permutation and Combinations

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Question 179120This question is from textbook Permutation and Combinations
: How many 6P6 and 5C5 are there?
How do you know?
thank you.
This question is from textbook Permutation and Combinations

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Question 179259: Please you help me fins these problem.
How do you know?
1.) For her aquarium, Susan can choose from 4 types of fish and 3 types of plants. If she chooses one type of fish and one type of plant, how many different aquariums can Susan set up?
2.) Lottery numbers in a particular state consist of 6 digits. Each lottery ball that is drawn has six sides numbered 1-6. How many different lottery numbers are possible?
3.) The soccer team is silk-screening T-shirts. They have 4 different T-shirts and 2 different colors of ink. How many different T-shirts can be made using one ink color on a T-shirt?
4.) A travel agent is offering a vacation package. Participants choose the type of tour, a meal plan, and a hotel class from the table below

TOUR MEAL Hotel
Walking Restaurant 4-star
Boat Picnic 3-star
Bicycle 2-star
1-star
How many different vacation packages are offered?
Please rely me back as soon as you could.
Thank you so much.

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Question 180291: The number of 5 and 6 letter words, with no repetitions allowed, that can be formed from the letters in N U M B E R is?
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Question 180289: For the same price you can order a basic pizza and add any two extra toppings from a choice of six different toppings. If a double of one topping is allowed, the number of different pizzas with two toppings is?
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Question 180656: The number of distinct ways the letters A B C D E F G H I can be arranged in a circle is?
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Question 180656: The number of distinct ways the letters A B C D E F G H I can be arranged in a circle is?
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Question 180960: Expand using the binomial expansion formula. Show your set-up using the {n/r}notation for the binomial coefficient. Simplify the expansion.
(a - b) exponent is 6.
I do not understand the subtraction with the expansion formula. Please help!!

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Question 180974: FOR THE same price you can order a basic pizza and add any two toppings from a choice of six different toppings. If a double of one topping is allowed, the number of different pizzas with two toppings is.
a. 36
b. 30
c. 12
d. 6

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Question 181071: Show how both sides equal.
sin 45 degrees= Square root 1-cos 90 degrees/2.
PLEASE HELP

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Question 181304: CAN SOMEONE HELP PLEASE....
2 x nP2 + 50= 2nP2 is?
a. 3
b. 4
c. 5
d. 6
I cannot figure this one out

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Question 181936This question is from textbook
: What is the probability of a seven-digit (7) phone number containing the number seven (7)?This question is from textbook

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Question 182009: EXPAND (g+2)(g-5)

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Question 182009: EXPAND (g+2)(g-5)

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Question 182138: how many different number plates combinations can you make from the follwing digits and letters: L 7 A D 4 1
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Question 182993: the computer department in a large company assigns a personal code number to each employee in the form of a three digit number,using the digit 0to 9 inclusive.code numbers starting with 0 are reserved for members of management.how many code numbers are available for non-management employees?

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Question 183108: this question is from the text book of class xi of chapter permutation and combination and the question is .....
three letters are dictated to three persons and an envelope is addressed to each of them, the letters are inserted into the envelopes at random so that each enveloped contains exactly one letter. find the probability that one letter is in its proper enveloped.

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Question 183649: How many different 4-digit numbers can be created if no digit can be repeated? Remember, a number cannot begin with 0
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Question 183556: you are placing 12 pictures on separae pages in an album. how many different ways can you order the 12 pictures in the album? how many different ways can 4 of the 12 pictures be placed on the first 4 pages?
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Question 184193This question is from textbook saxon algebra 2
: ALASKA has 6 letters with A repeated three times. Find the number of distinguishable permutations of letters in ALASKA.
I worked it out to: 6/3=2. Am I correct?
This question is from textbook saxon algebra 2

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Question 184334This question is from textbook
: You draw 4 cards from a deck of 52 playing cards. Give the probability that all four cards are red face cards.This question is from textbook

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Question 184743: God help me
From a group of 10 men and 12 women a comittee of 5 is to be chosen. How many commitees can be formed if there are 3 m3n and 2 women?

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Question 184757: Give me a hand someone PLEASe A bag contains 12 red, 5 blue, and 6 black marbles. In how many ways can two blue marbles be chosen????
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Question 186793This question is from textbook
: How many different ways can of committee of 9 be selected from a larger organization of 20 people?This question is from textbook

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Question 187873: How many different ways are there for an admissions officer to select a group of 7 college candidates from a group of 19 applicants for an interview?
Can you help me with this problem? I know the answer is 50388, but if I do it this way it does not come out right? What am I doing wrong? HELP please!!!
19*18*17*16*15*14*13 =253955520/7 =36279360 from here I know I am a mess.
Thanks for any help, I am pulling my hair out.

Click here to see answer by jim_thompson5910(13794) About Me 

Question 188536This question is from textbook College preparatory mathematics 3
: The local theatre is offering a "moviefest." Patrons can watch 3 different movies for the price of one and they can watch them in any order. In how many different ways can you arrange the order in which you see the three movies?This question is from textbook College preparatory mathematics 3

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Question 188536This question is from textbook College preparatory mathematics 3
: The local theatre is offering a "moviefest." Patrons can watch 3 different movies for the price of one and they can watch them in any order. In how many different ways can you arrange the order in which you see the three movies?This question is from textbook College preparatory mathematics 3

Click here to see answer by 504banga(1) About Me 

Question 188540: Sam had 9 sweaters. If he wore one a day for a week, how many permutations are possible?
My math teacher gave me a sheet of permutations to answer at the end of class and without previous knowledge I am having a very difficult time with these questions. I am asking the one that seems the easiest so that I can try to figure out the remaining. My answer is 36 but I'm not sure if its correct or how I should have gotten there.
Thank you.

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Question 188747: nP2 = 12. Solve for n.
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Question 189209This question is from textbook algebra 2
: You are buying a flower arrangement. The florist has 12 types of flowers, and 6 types of vases. If you can afford exacltly 3 types of flowers and need only 1 vase, how many different arrangements can you buy?This question is from textbook algebra 2

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Question 190473: a manufacturing company has to assign 6 digit lot numbers to its products using A-Z & 0-9, but the first dizit can not be a zero and the last two digits can not be alphabets(A-Z). so how many lot numbers can it produce?
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Question 190562: There are 15 employees eligible to form a commitee of 3. There are 7 females. What is the probability of a commitee to be made up of all females?
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Question 190561: How many different 5 digit zip codes are possible if digits are allowed to repeat?
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Question 190561: How many different 5 digit zip codes are possible if digits are allowed to repeat?
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Question 190715: A train is made up of a locomotive, 7 different cars, and a caboose. If the locomotive must be first, and the caboose must be last, how many fifferent ways can the train be ordered?
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Question 191005: what are the 4 digit numbers using 0 to 9 not leading zero?
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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