# Math Help - Combinatorics - L preceding N

1. ## Combinatorics - L preceding N

How many ways can the letters of the word PENCILS be arranged so that the L is preceding the N?

Thanks.

2. Originally Posted by DivideBy0
How many ways can the letters of the word PENCILS be arranged so that the L is preceding the N?

Thanks.
Half of the number of ways that can the letters of the word PENCILS be arranged

RonL

3. Originally Posted by CaptainBlack
Half of the number of ways that can the letters of the word PENCILS be arranged

RonL
why?

4. Originally Posted by Jhevon
Half of the number of ways that can the letters of the word PENCILS be arranged.
why?
In any arrangement either L comes before N or visa versa.
That is one-half for L before N.

5. Oh geeze, now it seems so obvious thanks.