Q14 of 31 Page 7

In how many ways can the letters of the word “PENCIL” be arranged so that I is always next to L.

There are six letters in PENCIL i.e. P, E, N, C, I, L.


Now for I to be next to L,


Consider LI to be a letter.


So, there are 5 letters in total now.


So, these five letters can be arranged in 5P5 ways.




As we know 0! = 1.


So,


= 5!


= 5× 4× 3× 2× 1


= 120 ways


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