Tutors Answer Your Questions about Permutations (FREE)
Question 171758: Please double check my work.
A musician plans to perform 4 selections. In how many ways can she arrange the musical selections?
4 * 4 = 16
4 * 3 = 12
4 * 2 = 8
4 * 1 = 4
I multiplied the answers all together and came up with 6,144 ways.
Did I do this right?
Click here to see answer by Alan3354(69443)  |
Question 171754: Please double check my work.
A bag contains 17 balls numbered 1 through 17. What are the odds in favor of selecting a ball that has an even number?
p(even) = 8/17
p(odd) = 9/17
so there is a 1/17 chance of selecting an even ball. Am I right?
Click here to see answer by Alan3354(69443)  |
Question 172778: The first three terms in the expansion of (1+ay)^n are 1,12y, and 68y^2
Evaluate a and n. Use the fact that:
(1+ay)^n=1+nay+n(n-1)/2(ay)^2+...
my teacher told me to use: c(n,k)(1)^n(ay)^k to figure it out and to refer to pascals triangle, But it hasnt helped. I would very much appricate if someone could help.
Thanks
Click here to see answer by vleith(2983) |
Question 172778: The first three terms in the expansion of (1+ay)^n are 1,12y, and 68y^2
Evaluate a and n. Use the fact that:
(1+ay)^n=1+nay+n(n-1)/2(ay)^2+...
my teacher told me to use: c(n,k)(1)^n(ay)^k to figure it out and to refer to pascals triangle, But it hasnt helped. I would very much appricate if someone could help.
Thanks
Click here to see answer by adamchapman(301) |
Question 173974: Hello,
I have worked out a story problem but I do not know if I am on the right track with it. Here is the problem:
The period T ( time in seconds for one complete cycle) of a simple pendulum is related tot he lenght L ( in feet) of the pendulum by the formula 8T^2=pie^2L. If a child is on a swing with a 10-ft chain, then how long does it take to complete one cycle of the swing?
This is how I worked it out:
T~2pie(46)
L is length of pendulum in meters
G is grauitational acceralation=9.8m/s.
10'=3.05m
t=2pie(l/G)
T=2pie (3.05/9.80=3.5 seconds is my answer
Click here to see answer by stanbon(75887) |
Question 174051: Hello,
Okay I have submitted this problem twice already but I believe that I have figured it out.
if the average radius of the orbit of venus is 0.723 AU, then how many years does it take for venus to complete one orbit of the sun? use these to figure the problem 28.46years 11.86 years sun to jupiter, 5.2AU
This is how I worked out the problem
v=x/.37793
jupiter11.86/5.2
5.2x=4.4822
x=.86 years to obrit the sun
for some reason that doesn't look right to me because how can you orbit the sun in .86 years is there a such thing?
Click here to see answer by stanbon(75887) |
Question 174051: Hello,
Okay I have submitted this problem twice already but I believe that I have figured it out.
if the average radius of the orbit of venus is 0.723 AU, then how many years does it take for venus to complete one orbit of the sun? use these to figure the problem 28.46years 11.86 years sun to jupiter, 5.2AU
This is how I worked out the problem
v=x/.37793
jupiter11.86/5.2
5.2x=4.4822
x=.86 years to obrit the sun
for some reason that doesn't look right to me because how can you orbit the sun in .86 years is there a such thing?
Click here to see answer by vleith(2983) |
Question 174214: If a ball is tossed into the air from height of 6 feet with a velocity of 32 feet per second, then its altitude at time t ( in seconds) can be described by the fuction
A(t)=-16t^2+32t+6 Find the altitude of the ball at 2 seconds.
Now with this problem what I set this equation to zero?
Click here to see answer by vleith(2983) |
Question 174238: n!
_______
2!(n-2)!
I understand that 5! is 5*4*3*2*1
I do not understand how to figure n!
I understand that 2! is 2*1 and (n-2)! is (n-2)*(n-1) which would make the problem
n!
________________
2*1(n-2)*(n-1)
Atleast I think that's what the problem would be, but now what? What do I do with the n! ??? I'm so confused. PLEASE HELP!! Thank you in advance!
Click here to see answer by Earlsdon(6294) |
Question 174238: n!
_______
2!(n-2)!
I understand that 5! is 5*4*3*2*1
I do not understand how to figure n!
I understand that 2! is 2*1 and (n-2)! is (n-2)*(n-1) which would make the problem
n!
________________
2*1(n-2)*(n-1)
Atleast I think that's what the problem would be, but now what? What do I do with the n! ??? I'm so confused. PLEASE HELP!! Thank you in advance!
Click here to see answer by stanbon(75887) |
Question 174215: Okay to make sure that I was on the right track witht his problem
Sketch the graph of each function or relation and state the domain and range.
y=|x|=-4
|x|-4=y
|x|=4+y
|x|=y+4
domain all real numbers range
x=+-(y+4)
x=y+4
x=-(y+4)
x=-y-4
x=y+4,-y-4
all real numbers and then to sketch the grapg wouldn't it come to like a v?
Click here to see answer by ilana(307) |
Question 175180: Please help me on these questions, I've tried for hours and i'm torn. I beg you.
Solve each equation.
1. 2x3 – 5x2 – 3x + 2 = 2
2. x3 + 64 = 0
A. -4,2 +/- 2i/3
B. 3,-1 +/- 2i/3
C. -4,2 +/- 3i/4
D. 4,2 +/- 2i/3
3. x4 – 8x2 – 9 = 0
A. 2,-3,4i,i
B. -3,3,i,-i
C. 2,-3,4i,-i
D. 3,i,-i
Use the Rational Root Theorem to find all the roots of each equation.
4. x3 + 9x2 + 19x – 4 = 0
5. 2x3 – x2 + 10x – 5 = 0
6. Two roots of a polynomial equation with real coefficients are 2 + 3i and . Find two additional roots. Then find the degree of the polynomial.
A. 2-4i,-/8; Degree2
B. 2-3i,/7; Degree4
C. 2-3i,-/7;Degree4
D. 2+4i,-/9;Degree12
Evaluate each expression.
7. 6P4
8. 5(3P2)
9. 5C2 + 5C1
10. 7C3/7C4
11. There are 14 different types of boxed nails in the hardware store. You plan to buy 5 different types of boxed nails. How many different combinations are there?
12. In how many different orders can six colored blocks be chosen from a set of 23 different blocks?
Click here to see answer by solver91311(24713)  |
Question 175401: Please help, I'm gettin no where with it. Car thieves steal on automobile out of 400 of a certain type every year in a certain city. What annual net premium should an owner pay for theft insurance in the amount of $16,000 on the certain type of car?
Click here to see answer by stanbon(75887) |
Question 175399: Please help me solve the problem: A teacher has a set of 12 problems to use on a math exam. The teacher makes different versions of the exam by putting 10 questions on each exam. How many different exams can the teacher make?
Click here to see answer by gonzo(654) |
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(208)  |
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
Click here to see answer by Fombitz(32388)  |
Question 176989: 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)
Click here to see answer by solver91311(24713)  |
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?
Click here to see answer by stanbon(75887) |
Question 179113: 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.
Click here to see answer by stanbon(75887) |
Question 179123: 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.
Click here to see answer by edjones(8007)  |
Question 179123: 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.
Click here to see answer by Mathtut(3670) |
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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, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035
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