In how many ways can the letters of the word ‘PARALLEL’ be arranged so that all L’s do not come together?
In how many ways can the letters of the word ‘PARALLEL’ be arranged so that all L’s do not come together?

Answer : To find: number of words where L do not come together Let the three L’s be treated as a single letter say Z

Number of words with L not the together = Total number of words – Words with L’s together

The new word is PARAEZ

Total number of words = Words with L together =

⇒ Words with L, not together = 3360 – 720 = 2640 There are 2640 words where L do not come together