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Jul
21
awarded  Popular Question
Apr
19
comment Jee Main 2015 Question. Probabilty
But the boxes and balls are identical. How can one choose 3 balls out of 12 if you cannot distinguish between any collection of three balls?
Mar
1
answered Theory and problems book in euclidean, affine, and projective geometry
Feb
28
answered Show that $f(z)=2z+z^2$ with $|z|<1$ is a one-to-one function
Feb
22
comment Why is ln(p_i) not rounded down in theexpression for Shannon entropy?
The Shannon entropy of a process/random variable $X$ is the average number of bits required to represent $X$. This is the content of the source coding principle. An average need not be a natural number.
Feb
22
comment Prove that every natural number takes one of three forms
Ain't it another way of saying any number leaves a remainder of either 0,1 or 2 when divided by 3?
Feb
17
answered Proving $n^{17} \equiv n \;(\text{mod}\; 510)$
Feb
12
accepted How do we approach a counting exercise from Enumerative Combinatorics (Prof. Stanley's book)?
Feb
12
comment How do we approach a counting exercise from Enumerative Combinatorics (Prof. Stanley's book)?
Hello Gerry, I knew it was a joke. But I was not getting the joke. I thought it was some clever pun on transitivity or covering relations. I would have never guessed that answer. No wonder, it was rated [3]. Anyway, I didn't know EC had solutions. Thanks for that.
Feb
12
comment How do we approach a counting exercise from Enumerative Combinatorics (Prof. Stanley's book)?
Dear Asaf, What is the answer to that question?
Feb
12
asked How do we approach a counting exercise from Enumerative Combinatorics (Prof. Stanley's book)?
Feb
5
asked Getting the proof of the generating function formula for Stirling numbers by 'staring' at the expression using combinatorial classes.
Jan
18
reviewed Approve Are these two statements logically equivalent?
Jan
17
awarded  Nice Question
Jan
16
asked Are there infinitely many pairs of primes where one divides one more than the square of the other?
Dec
31
answered Let $p$ be an odd prime number. How many $p$-element subsets of $\{1,2,3,4, \ldots, 2p\}$ have sums divisible by $p$?
Dec
9
awarded  Caucus
Dec
9
awarded  Popular Question
Nov
26
comment Two questions on number 2013
@Lokesh: Robert Israel clarified it. Both -3 and 3 are odd numbers. So adding the plus or minus sign is not going to change their oddness or evenness. In other words, 'Sum of an odd number of odd numbers is odd.'
Nov
26
comment Two questions on number 2013
@lokeshsangabattula: I doubt people are going to spell out every detail here. Alistair has given an answer so that you can compare it to yours. Try to write out all the elements of the set $S_{2013}$. You can easily guess it by seeing the pattern and then prove your guess by induction.