How many ways are there to arrange the letters in VISITING w

How many ways are there to arrange the letters in VISITING with no pair of consecutive Is?

Solution

First arrange remaining five letters v,s,t,n,g

no of ways = 5!

now we have 6 places for 3 Is

so number of ways to place Is =6C₃

total number of ways = 6C₃ .5!