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5 votes
3 answers
5k views

How many ways to reach $Nth$ number from starting point using any number steps between $1$ to $6$

In a board game, dice can roll either $1, 2, 3, 4, 5$ or $6$. The board has $N$ number of space. Every time of dice roll randomly, pawn moves forward exactly to dice rolled a number. Now the problem ...
Iqbal's user avatar
  • 63
3 votes
1 answer
808 views

number of derangements

In the normal derangement problem we have to count the number of derangement when each counter has just one correct house,what if some counters have shared houses. A derangement of n numbers is a ...
user103260's user avatar
2 votes
1 answer
293 views

Counting permutations, with additional restrictions

There are 10 slots and some marbles: 5 red, 3 blue, 2 green, how many ways can you fit those marbles into those slots? Those marbles fit in 10!/(5! 3! 2!) ways ...
William Entriken's user avatar
2 votes
2 answers
215 views

Combination/Permutation Question

I'm trying to solve a programming challenge, and I have narrowed down all the challenge to a combination/permutation problem. I ended up with 5 possible scenarios, and I need to find all possible ...
ILikeTacos's user avatar