All Questions
8
questions
9
votes
2
answers
655
views
Need help in determining where this pascal's triangle-like sequence comes from.
I have a very interesting problem in that a program that I am running has generated a sequence of numbers that act like the pascal's triangle but have somehow built more structure into it. I have been ...
- 237
5
votes
0
answers
193
views
Number of integers containing every digit atleast once [duplicate]
I have to find out number of integers that have every digit $(0-9)$ in it where integer starting with zero doesn't count i.e leading zero shouldn't be there.
So this makes the length of an integer $ \...
- 51
5
votes
3
answers
4k
views
How many combinations of $3$ natural numbers are there that add up to $30$?
How many combinations of $3$ natural numbers are there that add up to $30$?
The answer is $75$ but I need the approach.
Although I know that we can use $_{(n-1)}C_{(r-1)}$ i.e. $_{29}C_2 = 406$ but ...
- 179
2
votes
1
answer
211
views
Select k no.s from 1 to N with replacement to have a set with at least one co-prime pair
Given $1$ to $N$ numbers. You have to make array of $k$ no.s using those no.s, where repetition of same no. is also allowed, such that at least one pair in that chosen array is co-prime. Find no. of ...
- 269
2
votes
1
answer
3k
views
Count arrays with each array elements pairwise coprime
Given two integers $N$ and $M$ , How to find out number of arrays A of size N, such that :
Each of the element in array, $1 ≤ A[i] ≤ M$
For each pair i, j ($1 ≤ i < j ≤ N$)
$GCD(A[i], A[j]) = 1$...
- 235
1
vote
3
answers
151
views
In determining probability using 2 dice rolls why are permutations (x,x) not counted twice?
So I've been working in probability regarding dice rolls. I came across this problem:
If you roll 2 dice, what is the probability the first die is a 6 given that you rolled an 8?
This is clearly a ...
- 497
0
votes
1
answer
3k
views
Six Unique numbers which generate unique sum during addition
I have six numbers which are like points that satisfy certain condition.
If the condition is satisfied that point will be given or else $0$ will be assigned as points.
I am Storing the points in ...
- 23
0
votes
1
answer
934
views
How many ways to line up n objects with distinct heights
Over winter break, I have been working on a few programming questions and I came across this one, which has me a bit stumped:
As you ponder sneaky strategies for assisting with the great rabbit ...
