1. Math
2. Statistics And Probability
3. the letters of mississippi are permuted randomly with each distinguishable...

# Question: the letters of mississippi are permuted randomly with each distinguishable...

###### Question details

The letters of “mississippi” are permuted randomly, with each distinguishable permutation equally likely. What is the probability that, in the resulting scrambled word, no four adjacent letters are all the same? That is, the four i characters cannot all be adjacent and the four s characters cannot all be adjacent. Give an exact answer as a simplified fraction.