With the word Quicker, how many ways can we arrange the letters if U and I can't be together?
1 Answer
1800 ways
Explanation:
Let's start off by seeing that there are 7 letters. If the letters were all different and we didn't have placement issues (U and I can't be set together), we could arrange them in
With working with the U, I placement restriction, we can approach it by calculating the number of ways we can place U and I and then multiply by the ways we can place the remaining letters.
U, I Placement
One way we can calculate this is to count the number of ways we can place U and I. They can be in places:
Placing the remainder
We can now place the remaining letters. There are five of them and if they were all different, we could place them in
Putting it together
We multiply the number of ways we can place the U and I with the ways to place the remaining letters: