Recent content by lesdavies123

Alright I will look into it! Thank you!

Hello, I am a student in the Actuarial bachelor's degree. I've just finished my Stats and Probabilities class in which we completed the Introduction to Probability book by Ross. I really enjoyed this class and would like to continue studying this branch can you suggest a book that continues...

I had interpreted it as counting as 2 different digits! Or else 4 different would be impossible.

Hi, there are two problems I can't really solve yet they don't seem that difficult. The two of them seem pretty related to me, I think there's something I'm not getting I'll detail my attempts at solving but any help especially with the steps to the solution would be really appreciated as I have...

Ok I will rewrite it as an exact translation of the original question: We want to place n books, of which m are broken, on a shelf so that there are at least 2 consecutive broken books. The borken books cannot be told apart one from another, and that is also the case for the books in good...

I am sorry, I am French-Canadian and didnt know how to write this word in English (thought it was the same thing :P), I meant that the broken books are all exactly the same and can't be told apart from each other and so are the books in good condition!

Hi, just a simple combinatorics problem I can't figure out how to do! We want to place n books, of which m are broken, on a bookshelf so that there are at least 2 consecutive broken books. The broken books are indissociable from one another and so are the good book, how many ways can we do...

Hi! Figured it out thanks to your helpful answer! Thank you very much!

Hi, not sure if I get your answer, but do you mean if Russia and the US were only separated by France and England? How can I bring that into my equation? Thank you!

Hi, this is the problem: Delegates from 10 countries, including Russia, France, England, and the United States, are to be seated in a row. How many different seating arrangements are possible if the French and English delegates are to be seated next to each other and the Russian and U.S...

Thank you for all the answers and different perspectives guys I get it now!

Hi, So I understand this problem a little, I just can't understand the ending! So saying that we have n elements, we want all the subsets consisting of r elements where r goes from 0 to n. So we want (n choose 0) + (n choose 1) + ... + (n choose n) which is the summation of n choose r for...

Hi, I have a problem that I need to solve, it goes like this: Using the fact that the geometric mean of a collection of positive numbers is less than or equal to the arithmetic mean, show that if annual compound interest rates over an n-year period are i1 in the first year, i2 in the second...

Hi, First of all, I am an undergraduate Chemistry student, but who is also very interested in various areas of science (most actually :P), but like many other people I am especially curious about Einstein's theory of relativity, quantum mechanics and I especially would like to be able to read...

Homework Statement Here is the problem: A variable capacitor has seven armatures in the shape of half-circles with a radius of 2 cm. The armatures have a distance of 1 mm separating them. Find the capacity when the angle θ is: (a) 0 degrees; (b) 45 degrees; (c) 135 degrees. Homework...