Question

Find no.Of arrangements of word parallel if 3l's don't come togethr

Answer 1

Ans: 3000

The word PARALLEL has 8 letters. There are 3 'L's, 2 'A's. Other letters are distinct

Total number of arrangements possible with these letters =  

8/3!×2=3360

 

Now can count the arrangements in which all the 'L's are together. For this, group all the 3 'L's and consider it as a single letter.

i.e., we can consider total number of letters as 6 in which 2 'A's are there and other letters are distinct

Total number of such arrangements possible =  6/2!=360

Therefore, number of ways in which letters of the word PARALLEL can be arranged such that all the L’s do not come together

= 3360 - 360 = 3000