Question

In how many ways can the letter of the word" parallel" be arranged so that all l's do not come together

Answer 1

Answer:

It can be arranged in 3000 ways.

Step-by-step explanation:

The given word 'PARALLEL' has 8 letters, out of which there are 2 A's, 3 L's, 1 P, 1 R and 1 E.

Number of their arrangements =8!/(2!)×(3!)=3360.

Let us assume LLL as 1 letter.

Then, LLL + PARAE has 6 letters, out of which there are 2 A's and the rest are all distinct.

Number of their arrangements =6!/2!=360.

Number of arrangements in which 3 L's are not together =(3360−360)=3000.

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Answer 2

Answer:

Step-by-step explanation:

=3360

8!/ (2!) (31)