Consider all of the distinguishable ways to arrange the letters in the word
E N T E R T A I N M E N T
in a row.
In total, there are 28,828,800 such arrangements. Make sure you understand why before answering the following question.
Some of the 28,828,800 arrangements will have all three Es occurring consecutively, but will have none of the Ns occurring consecutively. An example of such an arrangement is:
N R A E E E N T N I M T T.
How many arrangements have both of these properties?
Given word : E N T E R T A I N M E N T Number of all possible arrangement = 3 ! 3 ! 3 ! 1 3 ! = 28,828,800 Now... View the full answer