Combination Definition and 525 Threads

Hi, I'm having trouble understanding a question, which looks deceptively simple. May be it is. I would like to know how any of you would tackle the following problem? There are N men wearing identical hats in a room. They all take off their hats and place it in the center of the room and...

A solid cylinder of mass M = 42 kg, radius R = 0.14 m and uniform density is pivoted on a frictional axle coaxial with its symmetry axis. A particle of mass m = 4.2 kg and initial velocity v0 = 17 m/s (perpendicular to the cylinder's axis) flies too close to the cylinder's edge, collides with...

The question asks: Write down the vector b as the linear combination of vectors, v1, v2, v3. To which I got: b = \left(\begin{array}{cc}1\\3\\2\end{array}\right) = \left(\begin{array}{cc}1\\-2\\2\end{array}\right)\frac{7}{2} + \left(\begin{array}{cc}0\\1\\-3\end{array}\right)0 +...

Is anybody familiar with LCAO approximation? I'm working on my last problem for this assignment and the class text doesn't really cover it enough for me nor do my reference texts cover it enough. Does anybody know any good references so I can read more on LCAO approximation? Thanks.

1.)Let us assume that the blocks are in motion, and the x-components of their momenta at a certain moment are p_1 and p_2, respectively. (there's a pic attached) Find the x-component of the velocity of the center of mass at that moment. Express your answer in terms of m_1,m_2,p_1, p_2...

hey- I've been working on this one for quite some time now and just can't seem to get it: Two converging lenses with focal lengths 10 cm and 20 cm are placed 30 cm apart. Rays from a very distant object are impinged on the lens system parallel to the principal axis. What is the refractive...

Captain Kirk, of the Starship Enterprise, has been told by his superiors that only a chemist can be trusted with the combination to the safe containing the dilithium crystals that power the ship. The combination, which consists of four numbers, is the pH of solution A described below, followed...

Captain Kirk, of the Starship Enterprise, has been told by his superiors that only a chemist can be trusted with the combination to the safe containing the dilithium crystals that power the ship. The combination, which consists of four numbers, is the pH of solution A described below, followed...

Hey, i have this question to solve.. An electron has a velocity of 1.62×104 m/s (in the positive x direction) and an acceleration of 2.25×1012 m/s2 (in the positive z direction) in uniform electric and magnetic fields. If the electric field has a magnitude of 19.1 N/C (in the positive z...

I have a test coming up late next week or early in the week after next. In any case I want to be ready and so I have been practicing problems from the text a lot and just wanted to make sure I am not making any mistakes. If you see an answer that is wrong please let me know so I can try to see...

For the following questions there is a club consisting of six distinct men and seven distinct women. 1. In how many ways can we select a committee of three men and four women? There are C(6,3) ways to select the men and C(7,4) ways to select the woman. For each combination of the...

Consider these problems: 1. In how many ways can 7 boys be seated around a round table? 2. If seven beads of different colors are put on a ring how many different desighns can be made? 3. I have six books with identical black bindings, 8 with identical red bindings. In how many ways can I...

Hi, Can anyone help me with these permutation/combination questions? Solve the equation for n: 1. nC4 = 35 2. nC4 = 70 It would be really good if I got the answers with full explanations, a.s.a.p. Thanks.

Need help solving a combination for "n" I've been unable to solve the following combination for "n": nC3 =10 I got this equation : n³ - 3n² + 2n -30 = 0 But I can't find a common factor of 30 that can be plugged into the equation to equal zero. Am I solving this incorrectly perhaps...

The thief was tired of the small change he was getting from the cashiers at the bank, so he broke in one night to raid the vault. When he got there, he came to a combination lock on the vault, with the dial numbers going from 0 to 59. Unfortunately, he wasn't sure whether there were three or...

Hey, I need a bit of a hand planning, I'd appreciate your advice. The situation: I need a master's thesis topic (my advisor has given me some freedom in choosing :biggrin:) completable in 2-3 years that could bring together the following areas of physics 1)quantum 2) relativity...

Tommy has just ten resistors, a 1-ohm, a 2-ohm, a 3-ohm and so on up to a 10-ohm. He wants to wire them up in a combination that gives a total resistance as near as possible to π ohms, that is to say 3.14159265(etc.) ohms. He doesn't have to use all the resistors - if he can get nearer to...

I need to be able to plug in appropriate x and y values for: 154x + 260y = 4 I guess this is done by working the euclidean algorithm backwards. But how do you do that?

please refer to the attachment in the last part, it states that... If solutions phi.n.(r) can be found, for different values of En, then the linear combination is also a solution of the Schroedinger equation, because the Schroedinger equation is a linear equation. However, such a linear...

to repair a power supply for a stereo amplifier, an electronics technician needs a 100-uF(microfarads) capacitor capable of withstanding a potential difference of 90V between the plates. the only available supply is a box of five 100-uF (microfarads) capacitors. each having a maximum voltage...

Cracking Master Combination Locks I've come across the following information: If this information is correct, the following tables showing possible numbers in a combination should be valid: Table 1 1st Number Possibilities 1 5 9 13 17 21 25 29 33 37 2nd Number...

Can anyone explain to me why k!/(k!*(k-k)!)+(k+1)!/(k!*(k+1-k)!)+(k+2)!/(k!*(k+2-k)!)+...+(n-1)!/(k!*(n-1-k)!)=n!/((k+1)!*(n-k-1)!) please. Thanks a lot!

For a commitee, 3 people out of 4 lawyers, 1 minister and 3 retailers are to be chosen. 1 person in the commitee must be a retailer, how many ways are there to choose the commitee? 1st: There must be a retailer thus we have 3 choices 2nd: Out of the remaining 7 people, the possible...

http://www.cnn.com/2003/SHOWBIZ/Music/10/15/offbeat.hendrix.reut/index.html

The following linear combination of states is considered in almost all quantum mechanics textbooks when they try to explain the addition of spin 1/2 and orbital angular momentum. The thing I don't understand is how the left hand side is equal to the right. Please, if you can, explain how...