How many ways can the word hell be permuted such that the L's must always be apart

The word "hell" has 4 letters: H, E, L, L.
There are 4 letters in total, with the letter 'L' repeated 2 times.
The formula for permutations with repeated items is n! / (p₁! × p₂! × ...), where n is the total number of items and p₁, p₂, ... are the counts of repeated items.

Total permutations = 4! / 2!
= (4 × 3 × 2 × 1) / (2 × 1)
= 24 / 2
= 12

To do this, treat the two 'L's as a single block (LL). Now we are permuting 3 items: (LL), H, E.
Since these 3 items are distinct, the number of permutations is 3!.

Permutations with L's together = 3!
= 3 × 2 × 1
= 6

Number of permutations with L's apart = Total permutations - Permutations with L's together
= 12 - 6
= 6

There are 6 ways to permute the word "hell" such that the L's are always apart.