# How many arrangements of the word LOVERS are possible if the letters L and O can not be side by side? [closed]

The letters of the word LOVERS must be used to form a different word arrangement without repeating the letters. How many word arrangements are possible if the letters L and O can not be side by side?

## closed as off-topic by Crostul, Siong Thye Goh, N. F. Taussig, Thomas Andrews, NamasteAug 31 '17 at 22:57

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Crostul, Siong Thye Goh, N. F. Taussig, Thomas Andrews, Namaste
If this question can be reworded to fit the rules in the help center, please edit the question.

• 4*5!........... – Jasser Aug 31 '17 at 7:27
• Welcome to MathSE. When you pose a question here, it is expected that you include your own thoughts on the problem. For an exercise such as this, you should include your attempt and indicate where you are stuck so that you receive responses appropriate to your skill level. – N. F. Taussig Aug 31 '17 at 9:33

'# of arrangements with 6 letters (all possible permutations without restrictions): $6!$
'# of arrangements with "l" "o" sticking together as "lo": $5!$
'# ... as "ol": $5!$
Thus the answer is $6! - (2)(5!)$.