|
Tutors Answer Your Questions about Permutations (FREE)
Question 139740: I tried to do it myself. Can you please tell me if this is correct? If not, can you help me?
The 16 graduating seniors at a small high school are ranked according to their grade-point averages. Assuming there are no ties, what expression correctly shows the number of permutations of the seniors selected 5 at a time?
This is what I came up with.
P(16,5)=
16!
______
(16-5)!
Click here to see answer by solver91311(5072)   |
Question 140691: How many ways could you hold 5 cards in your hand if 2 of the cards must be aces and the other 3 must be alike?
I have attempted and I get 4P2*(4P3*12) = 3456.
4P2 for the aces and 4P3*12 for the other three cards the 12 because there are twelve other sets of 4 alike cards to choose from. I am using permutations because order matters since it is asking about ways to hold them in your hand??? Is this right??
Click here to see answer by stanbon(26291)  |
Question 141937: Please help me solve this problem with a deck of cards, It has two parts.
You separate the 12 face cards out of a deck of 52 cards.
Assume that the remaining cards have been shuffle. Select 3 cards from the pile of face cards. Show how you derive the sulution. Tell if combination or permutation and why.
Part 1. How many ways are there of selecting one of each face card from the pile?
Part 2. How many ways are there of selecting 3 of the same face cards (ie, 3 jacks, 3 queens, 3 kings).
For part 1 my answer is 64 ways. combination, reason was not in any specific order.
for part 2, I said 12 ways, combination, reason not any speific order.
My teacher said I was wrong.
Can you show me every step. Please!!
Click here to see answer by stanbon(26291) |
Question 141937: Please help me solve this problem with a deck of cards, It has two parts.
You separate the 12 face cards out of a deck of 52 cards.
Assume that the remaining cards have been shuffle. Select 3 cards from the pile of face cards. Show how you derive the sulution. Tell if combination or permutation and why.
Part 1. How many ways are there of selecting one of each face card from the pile?
Part 2. How many ways are there of selecting 3 of the same face cards (ie, 3 jacks, 3 queens, 3 kings).
For part 1 my answer is 64 ways. combination, reason was not in any specific order.
for part 2, I said 12 ways, combination, reason not any speific order.
My teacher said I was wrong.
Can you show me every step. Please!!
Click here to see answer by near2u_28@yahoo.com(2) |
Question 142536: "To keep PC files secure, many programs require the user to enter a password. The shortest passwords must be at least 6 characters long and can contain both letters and digits." How many 6-character passwords are possible if characters can be repeated? Please explain HOW to find the answer. I am so stuck on this.
Click here to see answer by scott8148(3382)  |
Question 143259: Make an organized list of all possible four-letter permutations of the letters in STEP?
I know by calculating that it should be 4*3*2*1=24 - however I only come up with STEP, TEPS, PSTE, EPST - how do I find all 24 words?
Thanks
Click here to see answer by solver91311(5072) |
Question 143285: A committee for the end-of-year party is composed of four eighth graders and three seventh graders. A three-member subcommittee is formed...
Find the probability that all 3 members on the subcommittee are eighth graders?
Thanks for your help
Click here to see answer by stanbon(26291) |
Question 143281: Charmayne is organizing a track meet. There are 4 runners in her class. Each runner must compete one-on-one against each of the other runners in her class.
How many races must Charmayne schedule? This would be 4*3*2*1=24 (Is this correct?)
Must Charmayne schedule permutations or combinations? Permutations (Is this correct?)
Thanks
Click here to see answer by stanbon(26291) |
Question 143306: Abe, Brian, and Carmela share the responsibility of caring for the family pets. During a seven-day week, Abe and Brian each take three days and Carmela the other one. In how many different orders can the days of a week be assigned?
I'm not sure but i did this:
7!/(3!*3!*1!) and the answer I got is 140 different ways. Is this right?
Click here to see answer by stanbon(26291) |
Question 143571: Please help me solve this extended word problem:
Given the following crcumstances tell if a combination or permutation and solve.
a. Cassandra has seven skirts, five blouses, and ten pair of shoes, how many outfits can she create?
Click here to see answer by vleith(1977) |
Question 143959: A standard license plate has six spaces for either numbers or letters to be engraved:
If you are allowed to use numbers OR letters in each slot, how many different license plates are possible to make (repeating allowed)?
How does this number change if you were restricted to the following constraint:
The first three slots can only be letters, and the second three slots can only be numbers (you can repeat).
Click here to see answer by vleith(1977) |
Question 144550This question is from textbook
: I am stuck on this combination / Permutation problem. I was hoping someone could please help me.
The company in problem 8 wants to streamline the selection process by limiting the number of choices to just one file cabinet or one bookcase. (The employee will still choose one or the other.) How many different configurations can be created in this new situation?
Thanks so much ~LynThis question is from textbook
Click here to see answer by solver91311(5072) |
Question 146042: State and multi-state lotteries are common in the U.S. To win a typical lottery, you must match 6 numbers between 1 and 40. How many different combinations are possible? What does that say about the chances of winning the lottery?
Click here to see answer by stanbon(26291) |
Question 146036: Use either the fundamental counting principle or the permutation formulas (or both) to answer the following:
How many different two-digit numbers can be formed from the digits 3, 1, 4, and 5 (allowing reuse)?
Click here to see answer by stanbon(26291) |
Question 146039: Use either the fundamental counting principle or the permutation formulas (or both) to answer the following:
The Board of Directors does not have assigned seats in the conference room. If there are 12 of them, seated at a round table, how many different seating arrangements are possible?
Click here to see answer by BrittanyM(80) |
Question 146041: A pizza shop offers the following toppings: 8 different vegetables, 5 different meats, and 4 different cheeses.
How many ways can 4 toppings be selected where:
a.) All the toppings are vegetables
b.) All the toppings are meat
c.) There is only cheese on the pizza
d.) There are 2 vegetables, 1 meat and 1 cheese
e.) There are 3 meats and 1 cheese.
What's your favorite combo?
Click here to see answer by edjones(3298)  |
Question 146040: Use either the fundamental counting principle or the permutation formulas (or both) to answer the following:
Using the letters of the word YOUNG, tell how many different 5-letter combinations are possible if:
a.) the first letter must be Y
b.) the vowels and consonants alternate, beginning with a consonant (Y is a consonant here and Y does not have to be first).
Click here to see answer by stanbon(26291) |
Question 146037: Use either the fundamental counting principle or the permutation formulas (or both) to answer the following:
Of 10 candidates, the first 6 are being interviewed in the morning, and the last 4 in the afternoon. In how many ways can the interviewer arrange a schedule?
Click here to see answer by oscargut(682)  |
Question 146038: Use either the fundamental counting principle or the permutation formulas (or both) to answer the following:
How many seven-digit phone numbers can be formed if the first digit cannot be 0 and
a.) repetition of digits is not permitted?
b.) if repetition of digits is permitted?
Click here to see answer by oscargut(682) |
Question 146035: Use either the fundamental counting principle or the permutation formulas (or both) to answer the following:
In how many different ways can the 9 starters of a baseball team be placed in their positions?
Click here to see answer by edjones(3298) |
Question 146033: Use either the fundamental counting principle or the permutation formulas (or both) to answer the following:
In how many different ways can you arrange the letters of the word COMPUTER taking 4 at a time?
Click here to see answer by edjones(3298) |
Question 146985: The Binomial Theorem...When (2a + b)^8 is expanded, what is the coefficient of the term a^3b^5? A little rusty but this is what I have done so far
the binomial coefficient is 8 over 5...evaluated would be 8!/3!*5!=56
then 56(2^3)(1^5)=448 I'm not sure that I did this correctly.
Thanks
Click here to see answer by scott8148(3382) |
|
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
|
| |
