5
Without directly evaluting, show that the determinant of $A = 0$
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5
How many substrings can be formed from a string of length n? BUT THE SUBSTRINGS LENGTH ARE LIMITED
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5
Combinatorics - arrangements around circular table
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5
Calculate number of words of length $n$ formed from $\{a, b, c, d\}$ that begin and end with $a$ in which adjacent letters are not the same
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5
Trying to find a modulo for $2^{24}$
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5
How to solve the following diophantine equation?
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5
How to find out the average salary?
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5
Divide a plane with $2n$ points into two equal halves
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5
Why is ${n \choose 2} + n = {n+1 \choose 2}$?
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5
Stochastic Processes: Find the function f(n) , n = 0,1,2,... that satisfies f(0) = 0, f(n) = 1/3f(n-1) + 1/3f(n+1) +1/3f(n+2), n >= 1
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5
Probability of getting your hat back
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5
Is there an even perfect number with exactly 22 divisors?
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5
Probability of getting an odd number of heads if n biased coins are tossed once.
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5
What mathematical shape is the surface of waves on water?
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5
Find rational numbers $(x,y)$ such that $ (x^2 + y^2 - 2x)^2 = x^2 + y^2$
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5
Probability to draw $r$ Red balls before drawing $g$ Green balls
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5
Find the probability that the product of three random integers is divisible by 100.
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5
Why do people seek for a "closed form" of integrals or series?
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5
Prove that however one selects $55$ integers $1 ≤ x_1 < x_2 < x_3 < ... < x_{55} ≤ 100$, there will be some two that differ by 9, 10, 12 and 13.
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5
The number of positive integers of 5 digits such that each digit is 1, 2 or 3, and all three of the digits appear atleast once.
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5
Will $p$ always be prime if $p^p+(p-1)!$ is prime?
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5
The tea bag problem: probability of extracting a single bag of tea
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5
Base and height of equilateral triangle that are closest to integers
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5
What is the probability that Carlos and Diego are placed in the same room?
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5
Probability that a 5-card poker hand will not contain any card less than 6, when it contains at least one card higher than 8
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5
Given $x-\sqrt {\dfrac {8}{x}}=9$, what is $x-\sqrt{8x}$ equal to?
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5
Prove a mod b = b mod a iff a=b
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5
Probability problem: what's the chance that two strongest teams will play in the same subgroup.
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5
Expected number of coin flips to see $3$ heads
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5
Show that $1-999x^{888}\in \mathbb{Q}[x]$ is irreducible
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